Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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3-109. the area of the triangle below is 25 square units. find the valu…
The value of \( h \) is 5 units. The perimeter of the triangle is \( 10+\sqrt{41}+\sqrt{61}\approx24.21 \) units (or in exact form \( 10 + \sqrt{41}+\sqrt{61} \) units).
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rectangle expressions – new version the width of the rectangle is 2x in…
Carlos's expression \(2x+(4x - 3)+2x+(4x - 3)\) represents the perimeter because a rectangle has two sides of width \(2x\) and two sides of length \((4x - 3)\). The perimeter is t…
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write the equation of this line in slope-intercept form. write your ans…
$y = -\frac{3}{4}x - 7$
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1.copy the graph and write the equation of the line.
The equation of the line is \(y = x-2\)
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graph this system: $y = \\frac{1}{2}x - 4$ $y = \\frac{1}{2}x - 4$ clic…
infinitely many solutions
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3. write an equation for a line parallel to the line defined by (9,4) a…
\( y - 4 = 3(x - 9) \) (or any equivalent point - slope form using a different point with slope 3, e.g., \( y - 25=3(x - 16) \))
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question given the following unit circle, rotate green dot to the appro…
$\boldsymbol{-\frac{\sqrt{3}}{2}}$
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graph the following features: • slope = -2 • y-intercept = 1
The graph is a straight line with \(y\) - intercept at \((0,1)\) and slope \(-2\) (equation \(y=-2x + 1\)) plotted on the given coordinate plane.
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question 5 what is the ratio of the side lengths on polygon fghji to th…
The ratio of the side lengths of polygon \( FGHJI \) to \( ABCDE \) is equal to the scale factor of the dilation. If we let the scale factor be \( k \), the ratio is \( k \) (and …
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which of these relations are functions? select all that apply.
The bottom - left graph (the linear graph) and the bottom - right graph (the curve) are functions.
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12) 2x + 15 t u s r x + 15
\( x = 0 \)
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which of these relations are functions? select all that apply.
The second graph (the piece - wise linear graph) and the fourth graph (the increasing curve graph) are functions.
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noah is a father to three children, works full time, and attends school…
A. He may struggle to find success in his career
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question given the following unit circle, rotate green dot to the appro…
$\boldsymbol{-\frac{1}{2}}$
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question given the following unit circle, rotate green dot to the appro…
1
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which of these relations are functions? select all that apply.
The top - left graph (the graph with the V - shaped and linear part passing through the origin) is a function.
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question given the following unit circle, rotate green dot to the appro…
$\frac{\sqrt{2}}{2}$
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question the square on the right is a scaled copy of the square on the …
\( \frac{2}{3} \)
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question given the following unit circle, rotate green dot to the appro…
0
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nly) d) solve for x, y, z triangle with angles 30°, 60°, sides 8, z, y,…
$x = 4$, $y = 12$, $z = 8\sqrt{3}$
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as you read circle words that describe peoples feelings. star stuff nor…
D. space ### Question 2
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question draw a line representing the ise\ and a line representing the …
1
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question given the following unit circle, rotate green dot to the appro…
$\frac{\sqrt{3}}{2}$
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(c) 120° 130° 110° 100° 135° x
\(125^{\circ}\)
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30/45 graph. 3x + 4y = 12
The graph of \(3x + 4y = 12\) is a straight - line. To graph it, find the \(x\) - intercept (\(y = 0\)): \(3x=12\Rightarrow x = 4\) (point \((4,0)\)) and the \(y\) - intercept (\(…
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katie wants to collect over 100 seashells. she already has 34 seashells…
Inequality: \( 34 + 12d > 100 \) Graph: Open circle at \( 5.5 \) (or between 5 and 6) on the number line, shaded to the right (towards greater than 5.5).
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what is the value of x? x = (an image of two parallel vertical lines cu…
\(106\)
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which equation represents the graph of a line on a coordinate plane tha…
D. \(y=\frac{5}{9}x - 5\)
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construction raisonner • représenter d1.3 avec ces seules mesures, naël…
Naël can give an approximation of the total height of the house. By using the properties of isosceles triangles, rectangles, and trigonometric ratios (tangent of \( 24^\circ \)) w…
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what is the value of x? x = (there is a diagram with two parallel lines…
\( 70 \)
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in the diagram below, \\( \\overrightarrow{ol} \\) is perpendicular to …
\( 8.19 \)
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question in δnop, o = 48 inches, n = 47 inches and ∠n=72°. find all pos…
\(68^\circ\)
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what is the value of x? x = (there is a diagram with two parallel lines…
\( 70 \)
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c) find area
18
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what is the value of x? x = (there is a diagram with two parallel lines…
\(70\)
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37 multiple choice 2.5 points a rectangle has a length of x+12 cm and a…
\( 5x + 60 \) cm (corresponding to the option with this expression) ### Question 38
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26/45 graph. y = 2/3x - 3
Plot the \( y \)-intercept at \( (0, -3) \). Use the slope \( \frac{2}{3} \) (rise 2, run 3) to find another point. Draw a straight line through these points.
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35 multiple choice 2.5 points determine if the triangles are similar. i…
AA ### Question 36
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what is the value of x? x = an image of intersecting lines with angles …
\(95\)
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hw 4: congruent triangles if $\\triangle zmk \\cong \\triangle apy$, $m…
\(x = 6\), \(y = 10\)
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question in $\\triangle hij$, $i = 7.3$ inches, $h = 6.4$ inches and $\…
The possible values of $\angle I$ are $73.1^\circ$ and $106.9^\circ$. If we consider the options (Additional Angle or No Possible Angles), since there are two possible angles, the…
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you might need: calculator find the length of \\(\\overline{lw}\\). if …
\( 17.5 \)
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given abcd is a parallelogram and m∠c = 68°, find m∠cba. (image of para…
112 degrees ### Question 2 (Triangle Similarity)
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reread the queen mab speech below and underline each of the physical de…
Las frases con descripciones físicas de Queen Mab y su modo de transporte que se deben subrayar son: - "the tiny fairy" (descripción de Queen Mab) - "She’s so small that she could…
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other than itself, which angle is congruent to ∠fga?
$\angle DGC$
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find the measure of each side indicated. round to the nearest tenth. 9)…
\( 13.8 \) ### Problem 10
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determine whether each pair of triangles is congruent. if so, write sss…
AAS ### Second Sub - Question (Dilation and Triangle Angles)
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find the area x 9 60° y
The area of the triangle is \(\frac{27\sqrt{3}}{2}\) (or approximately \(23.38\))
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hw 4: congruent triangles given $\\triangle xps \\cong \\triangle dnf$,…
x = 3, y = 15
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question in δnop, o = 48 inches, n = 47 inches and ∠n = 72°. find all p…
$68^\circ$ (and we checked the other angle is invalid, so the only possible value is $68^\circ$)
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in the diagram below, \\( \\overline{ac} \\) is parallel to \\( \\overl…
\(54\)
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which graph represents the solution set of this inequality? -2x + 7 < 2…
B. (The graph with open circle at -8 and arrow to the right)
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question in δnop, o = 48 inches, n = 47 inches and ∠n = 72°. find all p…
\(68\) (and we can check that there is no other valid angle, so the possible value of \(\angle O\) to the nearest degree is \(68^{\circ}\))
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graph each equation. 9) $\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1$
The graph is an ellipse with vertices at \((0,\pm3)\) and co - vertices at \((\pm2,0)\) (plotted and connected as described above).
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graph the image of u(10, -4) after a translation 10 units left and 7 un…
The image of \(U(10,-4)\) after translation is the point \((0,3)\), which should be plotted at the intersection of the y - axis (x = 0) and the horizontal line \(y = 3\) on the gi…
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graph the image of w(8, -8) after a reflection over the y-axis.
The image of \(W(8,-8)\) after reflection over the \(y\) - axis is the point \((-8,-8)\), and it should be graphed at the coordinates \((-8,-8)\) on the given coordinate plane.
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how do the areas of triangle abc and def compare? the area of △abc is 1…
The area of △ABC is 1 square unit greater than the area of △DEF (the first option)
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5. write an equation of the line that is perpendicular to $y = \\frac{1…
\( y=-3x-11 \), so the first blank is \(-3\) and the second blank is \(-11\)
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given the following unit circle, rotate green dot to the appropriate an…
$\frac{1}{2}$
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the triangle below is isosceles. find the length of side x in simplest …
$3\sqrt{2}$
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triangle stv was dilated with the origin as the center of dilation to f…
\(\frac{1}{3}\) (Option: \(\boldsymbol{\frac{1}{3}}\))
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what is the equation of the line in point - slope form? use the red poi…
\( y - 10 = 10(x - 60) \)
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enter the rise and run to find the slope between points a and b. slope …
The numerator (rise) is 2, denominator (run) is 4. So slope from A to B is \(\frac{2}{4}\) (or simplified \(\frac{1}{2}\)), but according to the problem's format with a negative s…
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which composition of similarity transformations maps △lmn to △lmn? a di…
a dilation with a scale factor greater than 1 and then a reflection
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consider the line $y = \\dfrac{2}{9}x - 8$. find the equation of the li…
Equation of perpendicular line: \( y = -\frac{9}{2}x+\frac{93}{2} \) Equation of parallel line: \( y=\frac{2}{9}x + 4 \)
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consider the line $4x + 2y = 5$. what is the slope of a line perpendicu…
Slope of a perpendicular line: $\frac{1}{2}$ Slope of a parallel line: $-2$
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consider the line $y = \\frac{2}{3}x$. what is the slope of a line perp…
Slope of a perpendicular line: \( -\frac{3}{2} \) Slope of a parallel line: \( \frac{2}{3} \)
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for the right triangles below, find the exact values of the side length…
\( d = 4\sqrt{3} \) \( h = \frac{5\sqrt{2}}{2} \)
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5. in the diagram, segment ab is parallel to segment ab. a. what is the…
a. The length of segment \( AB \) is \( \boldsymbol{10} \). b. The length of segment \( B'B \) is \( \boldsymbol{3.5} \).
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graph the image of d(4, -8) after a reflection over the x-axis.
The image of \(D(4,-8)\) after reflection over the \(x\) - axis is the point \((4,8)\), which should be plotted at the coordinates \((4,8)\) on the given coordinate grid.
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graph the image of k(-1, 8) after a reflection over the y-axis.
The image of \(K(-1,8)\) after reflection over the \(y\) - axis is the point \((1,8)\) (which should be graphed at the location with \(x = 1\) and \(y = 8\) on the given coordinat…
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for the right triangles below, find the exact values of the side length…
\( c = 2\sqrt{2} \) \( b = 4\sqrt{3} \)
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identifying vertices of the pre-image of a dilation triangle xyz was di…
(-8, -4) (the first option: \(\boldsymbol{(-8, -4)}\))
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in the coordinate plane, points a, b, and c have coordinates (1,2), (4,…
The shape of the figure is a right - angled triangle. ### Sub - question 2
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for the right triangles below, find the exact values of the side length…
\( d = \frac{7\sqrt{2}}{2} \) \( h = 6\sqrt{3} \)
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question for the rotation $-1057^circ$, find the coterminal angle from …
The coterminal angle is \(\boldsymbol{23}^\circ\), which lies in Quadrant \(\boldsymbol{I}\), with a reference angle of \(\boldsymbol{23}^\circ\).
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the triangle below is isosceles. find the length of side x in simplest …
$10\sqrt{2}$
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use the given information to prove that $\\angle 5 \\cong \\angle 6$. y…
By using Alternate Interior Angles Theorem for \( AB \parallel CD \) (giving \( \angle 7 \cong \angle 6 \)), transitive property with \( \angle 1 \cong \angle 7 \) (giving \( \ang…
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choose the inequality that represents the following graph. (number line…
A. \( x < -2 \)
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1 multiple choice 10 points in the figure shown at the right, lines l a…
Linear pair (the option with "Linear pair" text)
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which angles are consecutive interior angles? image of lines and angles…
$\angle EFI$ and $\angle HIF$ (the first option)
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the equations of three lines are given below. line 1: $y = -\\frac{3}{2…
Line 1 and Line 2: Parallel Line 1 and Line 3: Parallel Line 2 and Line 3: Parallel
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a right triangle has side lengths 8, 15, and 17 as shown below. use the…
\( \tan M = \boldsymbol{\frac{15}{8}} \), \( \cos M = \boldsymbol{\frac{8}{17}} \), \( \sin M = \boldsymbol{\frac{15}{17}} \)
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3. determine the area of the following. a) (right triangle with angles …
The area of the triangle is \(18\sqrt{3}\)
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decide whether each pair of angles is congruent or not congruent. angle…
not congruent
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question in δmno, n = 370 inches, m = 810 inches and ∠m=21°. find all p…
\(9.4^{\circ}\)
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the figure shows a transversal that intersects two parallel lines. deci…
not congruent
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question given the following unit circle, rotate green dot to the appro…
$\sqrt{3}$
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first plot -12 and 6 on the number line below. then answer the parts be…
(a) -12 is located to the left of 6. (b) -12 < 6
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what is m∠1? m∠1 = 45 ° what are the remaining angle measures? m∠2 = □°…
\( m\angle 2 = 135^\circ \), \( m\angle 3 = 45^\circ \), \( m\angle 4 = 135^\circ \)
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which graph represents the solution set of this inequality? 4x + 11 < -…
A. The graph with an open circle at -8 and the arrow pointing to the left (the graph labeled A)
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law of sines: ambiguous case this is the only question in this section.…
# Explanation: ## Step1: Apply Law of Sines The Law of Sines states that $\frac{\sin M}{m}=\frac{\sin N}{n}$. We know $M = 21^{\circ}$, $m = 810$ inches, and $n = 370$ inches. Plu…
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hw 4: congruent triangles choose all of the valid congruency statements…
# Explanation: ## Step1: Analyze Triangle Congruence First, identify corresponding parts. In $\triangle TWP$ (or $\triangle WTP$) and $\triangle DGH$ (or related triangles), check…
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what is $m\\angle 1$? $m\\angle 1 = \\square^{\\circ}$
\(45\)
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write the coordinates of the vertices after a reflection over the line …
\( K'(1, -2) \) \( L'(-2, -2) \) \( M'(-2, 3) \) \( N'(1, 3) \)
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plot -4 and 9 on the number line below. then answer the parts below. (a…
(a) -4 is located to the left of 9. (b) \( -4 < 9 \)
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complete the proofs below using the most appropriate method, sss or sas…
| Statements | Reasons | | --- | --- | | 1. $\overline{AB} \cong \overline{ED}$ | Given | | 2. $\overline{AB} \parallel \overline{DE}$ | Given | | 3. $C$ is the midpoint of $\over…
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in the diagram below, \\(\\overline{ac}\\) is parallel to \\(\\overline…
# Explanation: ## Step1: Identify Similar Triangles Since \( \overline{AC} \parallel \overline{RP} \), by the Basic Proportionality Theorem (Thales' theorem) or AA similarity crit…
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what is the relationship between ∠1 and ∠2? match each figure with the …
The figure with ∠1 (top - left of the transversal - formed angles) and ∠2 (bottom - right of the transversal - formed angles) in the bottom - left graph (the third graph if counte…
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complete the proofs below using the most appropriate method, sss or sas…
1. Given 2. Given 3. Definition of Angle Bisector 4. Reflexive Property 5. SAS (For the original \( \triangle ABC\cong\triangle EDC \) proof, the steps would be: 1. \( \overline{A…