幾何
三角形、圓、解析幾何與證明題。
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45°-45°-90° triangles - a 45°-45°-90° triangle is: - a ______ triangle.…
1. right 2. isosceles 3. 90 4. Isosceles Triangle 5. congruent
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find the slopes of lines m and n. line m goes through points a and b. w…
\(-\frac{1}{3}\)
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Question was provided via image upload.
The graph is a parabola (a conic section), falling under the subfield of **Mathematics (Geometry or Algebra)**. If identifying the type, it's a horizontal parabola (opening to the…
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subtract in the numerator and denominator to find the slope of line h. …
\(\frac{3}{-4}\) (or \(-\frac{3}{4}\))
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use the coordinates to write an expression you could use to find the ch…
\(\frac{1 - 4}{5 - 1}\) (or \(\frac{4 - 1}{1 - 5}\), but the correct fill based on points B(5,1) and A(1,4) for slope formula \( \frac{y_B - y_A}{x_B - x_A} \) is \(\frac{1 - 4}{5…
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use the coordinates to write an expression you could use to find the ch…
\(\frac{2 - 8}{6 - 1}\) (or \(\frac{8 - 2}{1 - 6}\), but filling the boxes as \(2 - 8\) over \(6 - 1\) or \(8 - 2\) over \(1 - 6\); typically \(8 - 2\) and \(6 - 1\) for positive …
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subtract in the numerator and denominator to find the slope of line e. …
Numerator: \(2\), Denominator: \(4\) (and the slope simplifies to \(\frac{1}{2}\))
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use what youve learned so far to identify each transformation. give bot…
Verbal Description: rotation 180 degrees (CW/CCW) Algebraic Representation: \((x, y)\to(-x, -y)\)
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Question was provided via image upload.
A: (0, 3), B: (2, 1), C: (-2, 2) ### Part b)
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8. answer the following questions and use the graph provided: a) write …
A: (0, 4), B: (2, 1), C: (-2, 2) ### Part b)
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5. reflecting the heart over line a then reflecting over line d is equi…
A rotation of \(140^\circ\) about point \(p\) ### Problem 6
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12) lines u and v intersect to form a 25° angle. if the triangle is ref…
The resulting transformation is a rotation about point \( A \) (the intersection of \( u \) and \( v \)) by \( 50^\circ \) (twice the \( 25^\circ \) angle between \( u \) and \( v…
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select all the correct answers. which three pairs of side lengths are p…
- \( BC = 10, AC = 10\sqrt{2} \) - \( AB = 14, BC = 14 \) - \( AB = 9, AC = 18 \)
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match each missing side length and angle with the correct value. angle …
To solve for the missing sides and angles in the right - triangle - related figure: ### For \(LY\): We know that \(LY = LY\) (wait, no, looking at the figure, \(LY\) is part of th…
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the figure shows a flagpole and its shadow. the shadow has a length of …
C. 25 feet
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select the correct answer. what is the area, in square centimeters, of …
A. 144
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3 observe les trois boîtes ci - dessous. pour les décorer, il faut : - …
The total ribbon needed for the three boxes is 462 centimeters (or 4.62 meters), and the available ribbon is 150 centimeters, so we need 312 more centimeters (or 3.12 more meters)…
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drag each length to the correct location on the image. each length can …
To solve for the missing segment lengths, we analyze the right triangles with \(45^\circ\) angles (isosceles right triangles) and use the properties of such triangles (\( \text{le…
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select the correct answer. what is the value of x in the triangle? tria…
C. 7
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rounded to the nearest tenth, what is the perimeter of rectangle abcd? …
B. 13.7 inches
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simplify each expression. 18. $4x + 5x$ 19. $32y - 5y$ 20. $4c^2 + 5c +…
The expression for the perimeter is \(15n\). When \(n = 1\), perimeter is \(15\); \(n = 2\), perimeter is \(30\); \(n = 3\), perimeter is \(45\); \(n = 4\), perimeter is \(60\); \…
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select the correct answer. what is the value of x in the triangle? tria…
B. 24
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select the correct answer. what is the height, x, of the equilateral tr…
B. \( 5\sqrt{3} \) in.
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select the correct answer. a triangular tabletop has the given dimensio…
C. 10.2 ft
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which three pairs of side lengths are possible measurements for the tri…
- \(GH = 2\sqrt{3}, HI = 2\) - \(GH = 8\sqrt{3}, GI = 16\) - \(HI = 7, GI = 14\) (In boxed form, listing the correct options as per the problem's checkboxes—assuming the options a…
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what needs to be proven to conclude that quadrilateral abcd is a parall…
C. slope of \(\overline{AB}\) = slope of \(\overline{CD}\) and slope of \(\overline{BC}\) = slope of \(\overline{DA}\)
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drag the tiles to the boxes to form correct pairs. match each set of ve…
- \(A(2,4), B(3,5), C(2,6)\) → right isosceles - \(A(3,5), B(5,6), C(3,0)\) → obtuse scalene - \(A(2,4), B(4,5), C(3,6)\) → acute isosceles - \(A(3,5), B(3,4), C(5,4)\) → right sc…
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select all the answers needed. what conditions would prove quadrilatera…
E. \(AB = BC\) and \(AD = CD\)
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lm = 5.66 lp = 5.39 mn = 6 mp = 2.24 in the diagram, quadrilateral lmno…
C. 5.39
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match the values based on parallelogram abcd, shown in the figure. leng…
- Length of \( \overline{BC} \): 4 - Value of \( y \): 44 - \( m\angle DAB \): 56 - Value of \( x \): 2 (Matches: 56 → \( m\angle DAB \), 4 → Length of \( \overline{BC} \), 44 → V…
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53. write an equation of a line perpendicular to the line 4x - 3y = 15 …
The equation of the line is \(y =-\frac{3}{4}x + 1\) (or \(3x + 4y=4\))
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53. write an equation of a line perpendicular to the line 4x - 3y = 15 …
The equation of the line is \(y =-\frac{3}{4}x + 1\) (or \(3x + 4y=4\))
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line m goes through points a and b. what is the slope of line m? now, u…
\(\frac{5 - 2}{8 - 3}\) (and the slope calculation would be \(\frac{3}{5}=0.6\), but the expression as per the question is \(\frac{5 - 2}{8 - 3}\))
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keep going. subtract in the numerator and denominator to find the slope…
\(\frac{3}{4}\) (First box: 3, Second box: 4)
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write an expression you could use to find the horizontal distance, or t…
\( 7 - 3 \)
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to find the change in vertical distance, we can find the change in the …
2
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the dimensions of a rectangle are \\(\\sqrt{50a^3b^2}\\) and \\(\\sqrt{…
The student incorrectly simplified \( 10ab\sqrt{2a}+20a\sqrt{2a} \). (The first option in the list of what the student's error is)
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this is a multi-part item. pam’s eye–level height is 256 feet above sea…
\(\boldsymbol{\sqrt{\frac{3(400)}{2}} - \sqrt{\frac{3(256)}{2}}}\) (the first option's expression)
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2. below is a dilation with center p of triangle abc resulting into tri…
(for part A): The scale factor of the dilation is \(\frac{1}{2}\) (or 0.5).
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q = (-4, -4) r = (3, 3)
The distance between \( Q(-4,-4) \) and \( R(3,3) \) is \( 7\sqrt{2}\) (or approximately \( 9.90 \))
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m = (2, 5) n = (-4, -5) o = (-2, 4) p = (-2, -1)
If the question was about the distance between O and P, the answer is 5. If it was about M and N, the answer is \(2\sqrt{34}\) (or approximately 11.66). Based on the "5" written i…
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o = (-2, 4) p = (-2, -1)
The distance between points \(O\) and \(P\) is \(5\).
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k = (-3, 4) l = (5, 0)
The distance between points \( K \) and \( L \) is \( 4\sqrt{5} \) (or approximately \( 8.94 \)).
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e = (-1, -3) f = (2, 3)
The distance between \(E(-1,-3)\) and \(F(2,3)\) is \(3\sqrt{5}\) (or approximately \(6.71\)).
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slope it two ways date: m = ys - y / x2 - x1 e slope of the two points …
The slope of the line passing through points \(E(-1, - 3)\) and \(F(2, 3)\) is \(2\).
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11. solve and graph the inequality below. 11x - 9 > 13 or -4x - 4 > 8 a…
A. \(\overleftrightarrow{-4\ -3\ -2\ -1\ 0\ 1\ 2\ 3\ 4}\) (open circles at -3 and 2, shading left of -3 and right of 2) ### Question 12
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9. j with 36° angle, triangle jik with 101° angle, triangle gih with si…
\( a = 45^\circ \), \( b = 51^\circ \) (or \( 96^\circ \) if quadrilateral, but likely triangle: \( a = 45^\circ \), \( b = 51^\circ \)) ### Problem 12
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point c has the coordinates (-1, 4) and point d has the coordinates (2,…
5
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place your final answer in the box. good luck! 😊 1. which graph best r…
C ### Question 2:
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graph the image of trapezoid tuvw after a reflection over the line y = …
The image of trapezoid \( TUVW \) after reflection over \( y = x \) has vertices at \( T'(0, -10) \), \( U'(8, -10) \), \( V'(2, -6) \), and \( W'(-2, -6) \). (Note: Since the pro…
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p.1 classwork name 1. dilate the figure below using a scale factor of 1…
(Visual completion: For part 1, vertices are half as far from B; for part 2, three times as far from M. Draw the scaled quadrilaterals accordingly.)
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two sides of a triangle have the following measures. find the range of …
The range of possible measures for the third side is \(3 < x < 19\).
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graph the image of rectangle klmn after a dilation with a scale factor …
The dilated rectangle has vertices at \( (-4, -8) \), \( (4, -8) \), \( (4, 4) \), and \( (-4, 4) \). (Graphing these points on the given grid will show the image after dilation.)
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graph the image of parallelogram jklm after a reflection over the line …
The reflected parallelogram has vertices at \( J'(10, 9) \), \( K'(10, 5) \), \( L'(8, -2) \), \( M'(8, 2) \) (plotted on the graph as per the reflection rule).
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graph the image of $\\triangle fgh$ after a reflection over the $y$-axi…
The reflected triangle \( \triangle F'G'H' \) has vertices at \( (8,6) \), \( (8,7) \), and \( (4,5) \) (the graph should show these points connected, with \( F' \) and \( G' \) v…
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graph the image of trapezoid stuv after a reflection over the line y = …
The reflected trapezoid has vertices at \( S'(-2, -2) \), \( T'(-2, -7) \), \( U'(6, -5) \), \( V'(6, -3) \). (Graph these points on the coordinate plane.)
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6x + 5, 3, 2, 4, 5, 7, 6, 2x + 69, what is the value of x?
\(16\)
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the circle graph shows how the annual budget for a company is divided b…
$850000
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find the value of x. (there is a triangle with angles 105°, 33°, and x°…
\(x = 42\)
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practice 8 (from unit 3, lesson 17) this diagram shows the dimensions o…
# Explanation: ## Step1: Identificar Triángulos Similares Dado que $\angle CED \cong \angle BEA$ y $\angle C$ y $\angle B$ son ángulos rectos ($90^\circ$), los triángulos $CED$ y …
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14) solve the inequality $5 \\leq x + 8 < 9$ a) 13 15 17 b) c) -3 -1 1 …
C (the number line in option C, with marks at - 3, - 1, 1, a closed circle at - 3 (or appropriate marking to show inclusion) and an open circle at 1, and the line between them)
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practice 5 from unit 4, lesson 7 find the unknown measurements in trian…
Measure of angle \( B = \boldsymbol{55^\circ} \) \( AB \approx \boldsymbol{5.16} \) (o \( 9\sin35^\circ \)) units \( AC \approx \boldsymbol{7.37} \) (o \( 9\cos35^\circ \)) units …
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here is triangle abc. write 2 expressions that can be used to find the …
Expression 1: \( 11 \cos(25) \) Expression 2: \( 11 \sin(65) \)
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8) choose the best answer. what was striking about the busts made by ro…
The option with "attention to detail" (the fourth circle - labeled "attention to detail" when considering the order from left: first "lack of detail", second "troubling aspect..."…
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in the right triangles shown here, the measure of angle abc is the same…
\( \boxed{13} \)
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technology required. find the unknown measurements in this right triang…
Measure of angle \( B = 63^\circ \) \( AB \approx 26.4 \) units \( AC \approx 23.6 \) units
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7) choose the best answer. which roman writer had the most influence on…
The option with "Virgil" (assuming the third option, as per the layout: the third circle with "Virgil" text).
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technology required. mai is 80 feet away from the eiffel tower. to see …
1016
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for each of the following four squares, write a fraction to describe th…
a. $\frac{1}{4}$ b. $\frac{2}{8}=\frac{1}{4}$ c. $\frac{3}{12}=\frac{1}{4}$ d. $\frac{4}{16}=\frac{1}{4}$ Property: Equality of fractions (or The Fundamental Law of Fractions, but…
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practice 8 (from unit 3, lesson 14) elena is proving the pythagorean th…
- Primer espacio: \(\boldsymbol{\frac{a}{c}=\frac{x}{a}}\) - Segundo espacio: \(\boldsymbol{\frac{b}{c}=\frac{y}{b}}\) - Tercer espacio (para \(a^{2}+b^{2}\)): \(\boldsymbol{c^{2}…
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eddie was helping explain the concept of parallel and perpendicular lin…
The first option (the one stating "Close. A line perpendicular to a line with a positive slope will have a negative slope, however the slope will be the negative reciprocal. In ot…
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question 4 eddie wanted to clarify his understanding of the differences…
The third option (Parallel lines have the same slope, but perpendicular lines have slopes that are negative reciprocals of each other (the option text: "Parallel lines have the sa…
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here is triangle pqr. find the length of each leg. type your answers in…
\( PQ = \boldsymbol{2} \) units, \( QR=\boldsymbol{2\sqrt{3}} \) units
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x = -2 x = -2 click to select points on the graph. (graph with x-axis f…
To graph \( x = -2 \), draw a vertical line through the point \( (-2, 0) \) (and all other points with \( x \)-coordinate \(-2\)) on the coordinate plane.
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question 3 problem #3 was also hard for eddie. eddie was supposed to us…
(Assuming the correct graph is identified by its slope and intercept; since the original graph is incorrect, the correct one has slope $\frac{1}{3}$, y - intercept 13, and passes …
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2. a geometry teacher distributes sheets of construction paper to her c…
\( V(s)=s(24 - 2s)(18 - 2s) \) ### Part 2b
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lin missed class and tyler is helping her use the table to approximate …
Los ángulos son aproximadamente $55^\circ$ y $35^\circ$. Los valores se repiten porque los ángulos son complementarios (suman $90^\circ$), y en un triángulo rectángulo, el coseno …
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6) $y = \\frac{4}{5}x - 1$
A straight line passing through (0, -1) and (5, 3) on the grid.
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graph a line that is parallel to the given line. determine the slope of…
The slope of the given line and the parallel line is undefined. To graph the parallel line, draw a vertical line (e.g., \(x = k\) where \(k\) is a constant different from the \(x\…
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3) choose the best answer. languages that developed from the romans lan…
The option with "Romance" (the third option from the left, with the label "Romance" below the circle).
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16. in the given diagram, two lines meet at a point that is also the en…
The sum of \( \angle AFB \), \( \angle BFC \), and the right angle is \( 180^\circ \) (they are supplementary as they lie on a straight line), so \( (3x + 4)+(5x - 2)+ 90 = 180 \)…
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andre and clare are discussing triangle abc that has a right angle at c…
I agree with both Andre and Clare.
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remember for problems 11–14, evaluate the expression for the given valu…
\( 5.32 \) ### Problem 12: Evaluate \( 1.2x - 5 \) when \( x = 0.3 \)
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which of the following transformations carry this regular polygon onto …
- rotation of $120^\circ$ counterclockwise - reflection across $t$ - rotation of $120^\circ$ clockwise
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which of the following transformations carry this regular polygon onto …
A. rotation of \(36^{\circ}\) counterclockwise, D. rotation of \(36^{\circ}\) clockwise (assuming the fourth option is D, but based on the given options in the image, the first op…
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which equation matches the graph shown below? graph of a line on a coor…
A. \( y = \frac{4}{3}x - 1 \)
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which of the following transformations carry this regular polygon onto …
rotation of \( 60^\circ \) counterclockwise
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10. shawn plots the image of point m under a dilation with center o and…
Shawn uses the property of dilations that a dilation with center \( O \) and scale factor \( 0.6 \) maps \( M \) to \( M' \) such that \( O \), \( M \), \( M' \) are collinear and…
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find the lengths of segments ad and bd. then check your answers using a…
\( AD = \frac{25}{12} \approx 2.1 \) and \( BD = 5 \) (or \( AD \approx 2.1 \), \( BD = 5 \))
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graph the equation of a line that has a slope of \\(\\frac{3}{2}\\) and…
The equation of the line is $y=\frac{3}{2}x - 11$, and the graph is drawn by plotting the point $(6,-2)$ and using the slope $\frac{3}{2}$ to find additional points and then drawi…
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pre - test complete 2 3 4 5 6 7 time remai 51:1 read the passage from s…
"Simple enough; but this trade up and down the Atlantic coast was part of a much larger world system."
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graph -12x - 3y = 6.
The graph of the line $y = - 4x-2$ (which is equivalent to $-12x - 3y = 6$) has a y - intercept at $(0,-2)$ and a slope of $-4$. It can be graphed by plotting the points $(0,-2)$ …
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graph the equation of a line with a slope of $-\frac{6}{4}$ passes thro…
The equation of the line is $y =-\frac{3}{2}x+6$. To graph it, plot the points $(0,6)$ (y - intercept) and $(4,0)$ (given point), then draw a straight line through them.
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5. find the area and side length of the square. area = side length =
Area = 25 square units, Side length = 5 units
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what is the length of side ab? do not round your answer. type your answ…
\( 2\sqrt{3} \)
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click to select points on the graph x + 2y = 6 $y = -\\frac{1}{2}x + 3$
The two equations are equivalent (represent the same line). Key points to plot: \( (0, 3) \), \( (6, 0) \), \( (2, 2) \) (or others), then draw the line.
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do you know how? 7. find the length of each of the medians of the trian…
The lengths of the medians are 24, 27, and 36.
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x + 2y = 6 $y = -\\frac{1}{2}x + 3$ click to select points on the graph…
To graph the line \( y = -\frac{1}{2}x + 3 \) (which is equivalent to \( x + 2y = 6 \) after rearranging), we can find two points on the line: ### Step 1: Find the y - intercept T…
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which of the following transformations carry this regular polygon onto …
rotation of \( 120^\circ \) counterclockwise, reflection across \( l \)
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which of the following transformations carry this regular polygon onto …
The correct transformations are: - reflection across \( l \) - rotation of \( 40^\circ \) clockwise - rotation of \( 40^\circ \) counterclockwise (Assuming the polygon is a regula…