幾何
三角形、円、座標幾何、証明問題。
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which statement explains why figure jklmn is congruent to figure vwxyz?…
A. Figure JKLMN was reflected across the y - axis and translated 1 unit to the right.
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select the correct answer. a building has a triangular rooftop terrace …
D. \(\overline{AC}\)
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what single transformation maps δabc onto δabc? graph of coordinate pla…
B. rotation \( 90^\circ \) counterclockwise about the origin
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tell whether the lines for each pair of equations are parallel, perpend…
The lines are parallel.
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do not park closer than ______ feet from a driveway or where the curb i…
C. 5 (assuming the options are labeled as A. 30, B. 10, C. 5, D. 15; but based on the given options, the third option is 5, so the answer is the option with 5, i.e., the circle ne…
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determine the equation of the circle graphed below.
\((x + 6)^{2}+(y + 4)^{2}=4\)
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select the correct answer from each drop - down menu. consider $\\trian…
First drop - down: a reflection of; Second drop - down: only rigid transformations
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devon is a trampoline gymnast. during one of her routines, she bounces …
The graph on the Right
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3-87 (from lesson 2.1.3) triangle xyz is shown on the graph. complete t…
To solve this, we first need the coordinates of the original triangle \( XYZ \). From the graph (assuming standard grid with each unit as 1): ### Step 1: Identify Original Coordin…
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select the correct answer from each drop - down menu. consider $\\trian…
1. Triangle HIJ is **congruent to** triangle EFG. 2. Since triangle EFG uses **a rigid transformation (rotation/reflection)** to map onto triangle HIJ, the triangles **are congrue…
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if there is more than one answer, separate them with commas. click on o…
(a) \(y\) - intercept(s): \(1\) (b) \(x\) - intercept(s): \(-1,3\)
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select the correct answer from each drop - down menu. consider $\\trian…
To solve this, we analyze the triangles: 1. **First Drop - Down (Triangle HJI and EFG Relationship):** - Triangle \( EFG \): Sides \( EF \) and \( FG \) have 2 tick - marks (congr…
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select the correct answer from each drop-down menu. the pair of triangl…
For the ASA criterion: triangle ABC and triangle XYZ For the SAS criterion: triangle ABC and triangle PQR
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select the correct answer from each drop-down menu. the pair of triangl…
The pair of triangles that are congruent by the ASA criterion is \( \triangle ABC \) and \( \triangle TUS \) (assuming the angles and included side match), and the pair of triangl…
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a shark is swimming 28 ft below sea level. if the angle of depression f…
The horizontal distance between the boat and the shark is approximately $\boxed{81.3}$ feet.
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31 what is the slope of the line that passes through the points (-5,8) …
D. Undefined
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find the volume of the oblique rectangular prism below. round your answ…
\(\approx 610.6\)
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exit ticket a system of inequalities is shown. $x < 3$ $y \\geq -3$ whi…
(Assuming the second graph (the one labeled with the second circle) is the correct one based on the analysis. If we consider the standard graph for \( x<3 \) (dashed vertical line…
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find the volume of the oblique cylinder below. round your answer to the…
The volume of the oblique cylinder is approximately \(\boxed{1680.0}\) (or more precisely, using more accurate calculations, it can be around 1680.0 when rounded to the nearest te…
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1.8 1\\frac{8}{10} round 3: choose and collect the correct representati…
The Middle Graph (the second number line with \(1\) and \(2\) as endpoints)
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find the volume of the oblique rectangular prism below. round your answ…
\(496.4\)
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which sentence best explains why shape 1 and shape 2 are not congruent?…
C. There is no sequence of rigid transformations that will map shape 1 onto shape 2.
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https://www.ixl.com/math/grade-6/distance-between-two-points units
7
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in addition to the facts in the diagram, which other statements are nec…
C. i and iii only
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solve the inequality and graph the solution. 17 + 5n > 7 to draw a ray,…
The solution to the inequality is \( n > - 2 \). For the graph, there is an open circle at - 2 and an arrow pointing to the right.
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solve the following system of inequalities graphically on the set of ax…
A point in the solution set is \( (3,2) \) (or other valid points like \( (4,3) \), \( (2.5,3) \) etc.)
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solve the system of linear equations by graphing. y = -5x + 3 y = 2x - …
\((1, -2)\)
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which statement is true about the graph? the absolute value of the slop…
The absolute value of the slope of the line is equal to \(\frac{KL}{ML}\) (the first option among the given choices, assuming the first purple box option is the one with \(\frac{K…
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select the correct answer. if $\\triangle acb$ and $\\triangle egf$ are…
B. \(\angle CAB\) and \(\angle GEF\)
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7.3.9.c a semicircle is cut from a square piece of wood. if the radius …
The area of the semicircle is \( 8\pi \) square inches (or approximately \( 25.12 \) square inches).
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triangle def and fgh are shown on the coordinate plane below. select th…
(Assuming options: First dropdown: "rise of \(DF\) to run of \(DF\)", Second dropdown: "rise of \(FH\) to run of \(FH\)") First: rise of \(DF\) to run of \(DF\) Second: rise of \(…
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in the given triangles, \\( \\overline{pr} \\cong \\overline{ac} \\) an…
A. \(\angle R\cong\angle C\)
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select the correct answer from each drop down menu. consider triangles …
The triangles are congruent (implied by rigid motions). The transformation involves only rigid motions (reflection and translation are rigid, no dilation). So the correct option f…
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which angle number represents the linear pair of $\\angle wyt$?
# Explanation: ## Step1: Recall Linear Pair Definition A linear pair of angles are adjacent angles that form a straight line (sum to \(180^\circ\)), sharing a common side and vert…
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.9.c if the circumference of a wheel is 50.24 inches, what is the appro…
El radio aproximado de la rueda es 8 pulgadas.
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the points (-23, 2) and (-7, r) lie on a line with slope \\(\\frac{5}{4…
\( r = 22 \)
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select the correct answer. if $\\triangle abc \\cong \\triangle dec$, w…
D. \(x = 1\)
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33. solve for x. 4(2x - 4) = 2(x - 5) (2x - 4)/2 = (x - 5)/4 35. qrs ~ …
\(x = 1\) \(\angle Q \cong \angle N\), \(\angle R \cong \angle O\), \(\angle S \cong \angle P\); \(\frac{QR}{NO}=\frac{RS}{OP}=\frac{QS}{NP}\) \(\frac{1}{2}\) Yes, by AA similarit…
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3.9.c) find the area of a circle with a radius of 7 cm. (use pi=3.14)
El área del círculo es \( 153.86 \, \text{cm}^2 \).
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select the correct answer from each drop-down menu. based on the two tr…
An angle opposite the longest side of a triangle is the \(\boldsymbol{\text{largest}}\) angle. A side opposite the smallest angle of a triangle is the \(\boldsymbol{\text{shortest…
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select the correct answer from each drop - down menu. a carpenter is bu…
First drop-down: cannot Second drop-down: 2 feet (from the options: the option with "2 feet")
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33. solve for x. 4(2x - 4) = 2(x - 5) \\frac{2x - 4}{2} = \\frac{x - 5}…
\( x = 1 \) ### Problem 35: Similar Triangles \( \triangle QRS \sim \triangle NOP \)
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7.3.9.c a circular swimming pool has a diameter of 18 feet. which is th…
La circunferencia del estanque de natación es de 56.52 pies.
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adelyn wants to make a copy of her trapezoid by using a two - step sequ…
a translation 10 units to the right followed by a rotation \( 180^\circ \) counterclockwise about the origin
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select the correct answer from each drop - down menu. in a city, broadw…
The greatest angle is the one formed by the intersection of Broadway and Water Street. The smallest angle is the one formed by the intersection of Broadway and Main Street.
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in the figure, δqrs and δtuv are right triangles, qt is a straight line…
A. $-\dfrac{UV}{TU}$ (assuming the first purple box is option A, with text "$-\dfrac{UV}{TU}$")
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solve the inequality. graph the solution. 3d - 7d + 2.8 < 5.8 - 27 the …
\(d > 6\) (Graph: open circle at 6, arrow to the right)
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select the correct answer. marie has a garden in the shape of triangle …
C. \(\overline{AB}\)
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determine if the two figures below are congruent. use the drop-down men…
The two figures are congruent because rigid transformations (rotation, translation) are used to map Figure 1 onto Figure 2. The angle corresponding to \( \angle S \) is \( \angle …
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name: date period similar triangle practice direction: state if the tri…
The triangles in problem 1 are similar by SSS.
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determine reflections classroom draw the line of reflection that reflec…
The line of reflection is the \(y\)-axis (the vertical line \(x = 0\)).
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1. select all of the true statements about the dilation shown below. th…
- The scale factor is a number less than 1. - The bigger image is the original shape.
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select the correct answer from each drop - down menu. choose the terms …
First drop - down: Rotation Second drop - down: Reflection (Note: The third part about "the shape and size..." is a property of rigid transformations, which both rotation and refl…
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e) (figure of a rhombus with side 5,1 dm, one diagonal 9 dm, the other …
\( P = 20,4 \, \text{dm} \) \( A = 22,5 \, \text{dm}^2 \)
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name teacher plotting points practice sheet coordinate pairs ( x, y) x …
Points plotted on the coordinate planes according to the rules of plotting \((x,y)\) coordinates (move \(x\) units along x - axis, \(y\) units along y - axis) for each coordinate …
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2 if polygon abcd rotates 70° counterclockwise about the origin to give…
D. \( A'D' = AD \)
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select the correct triangle. which triangle represents a reflection of …
D (assuming the triangle labeled D is the correct reflection; if the labels are as per the diagram, the triangle that is the reflection of A across line m is the one labeled D)
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question 2 of 2 select the correct answer. what is a rotation? a rotati…
A. A rotation is when an object moves in a circular arc around a point.
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question 1 of 2 select the correct answer from each drop-down menu. com…
preserves angles but not side lengths
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question 1 of 2 select the correct answer from each drop-down menu. com…
First drop - down: translation (assuming the options in the drop - down for the first blank include translation; since the problem is about comparing translation and dilation, the…
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true or not true? draw a figure with: five sides no congruent sides at …
The red figure (the middle figure)
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question what are the names of the overlapping polygons, in order from …
trapezoid, triangle, rhombus (the third option: trapezoid, triangle, rhombus)
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in the diagram, point n lies on mo. what is the measure of ∠mpn ? 73° 6…
\( 73^\circ \) (corresponding to the first option, A. \( 73^\circ \))
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question select all the figures that are octagons.
The green octagon (top - right), the purple octagon (middle - left), and the red octagon (middle - right)
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question warm-up how can the figure be described? image of a square wit…
A. polygon, B. rhombus, C. square, E. rectangle, F. quadrilateral
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drawing solids draw the solid. 17. triangular prism 18. pentagonal pris…
To draw the solids: 1. **Triangular Prism (17)**: - Draw two congruent triangles (e.g., base triangle with vertices A, B, C and top triangle with vertices A', B', C') parallel to …
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the formula $s = \\sqrt{\\frac{sa}{6}}$ gives the length of the side, $…
\(\boldsymbol{\sqrt{5}\ \text{m}}\) (the option with \(\sqrt{5}\ \text{m}\))
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23. given the reference angle of \\(\\frac{\\pi}{10}\\), find the corre…
\(\frac{11\pi}{10}\)
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find an equation for the line with the given properties. express your a…
\(y=\frac{2}{5}x - 2\) (or \(2x-5y = 10\))
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find an equation for the line with the given properties. express your a…
\(y=\frac{2}{5}x - 2\) (or \(2x-5y = 10\))
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first solve for x and plug back in to find eac 11. triangle abc with an…
\(x = 4\)
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question the graph of a line goes through the points (-4, 6) and (6, 1)…
\( y = -\frac{2}{5}x+\frac{17}{5} \) (or \( y=-0.4x + 3.4 \))
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this image has rotational symmetry. what is the smallest number of degr…
\( 30^{\circ} \) (Wait, no, wait, maybe I miscounted the petals. Wait, let's check again. Wait, maybe the number of petals is 12? Wait, no, maybe the flower has 12 petals. Wait, b…
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are $\\triangle rst$ and $\\triangle hij$ congruent? yes no
yes
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explore the properties of angles and arcs formed by two intersecting se…
\( 56 \)
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line ef is tangent to circle g at point a. if the measure of ∠cae is 95…
A. 190°
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identify each of the following triangles as acute, obtuse, right, or eq…
A. acute and equiangular ### Part b
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plot and connect the points listed below. when you are done, find the a…
16
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name the marked angle in 2 different ways.
\( \angle EBD \) and \( \angle B \) (or \( \angle DBE \) and \( \angle EBD \))
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the figure on the right is a scaled copy of the figure on the left. whi…
The side corresponding to \( PS \) is \( CB \) (wait, but the user's attempt had \( CE \), maybe a mislabel, but according to the scale factor calculation, if the scale factor is …
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solve for y and graph the solution. 3 > |y - 4| click two endpoints to …
\(1 < y < 7\)
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the diagram shows a convex polygon. what is the value of v? v = \\boxed…
\(v = 72\)
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3. what is the length of \\(\\overline{xu}\\)?
23 in
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line l is shown below. right triangles abc and def are drawn to measure…
The slope of line \( l \) is \(\boxed{\dfrac{4}{3}}\) (or \(\boxed{\dfrac{5}{3}}\) depending on grid interpretation, but likely \(\dfrac{4}{3}\) or \(\dfrac{5}{3}\); assuming rise…
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∠x and ∠z are complementary and ∠x and ∠y are complementary. complete t…
- For Statement 3: Reason is "Definition of complementary angles" - For Statement 5: Reason is "Transitive Property of Equality (or Substitution)"
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find the missing side length. assume that all intersecting sides meet a…
6 feet
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question determine a series of transformations that would map figure h …
left, 8 (and then down, 5 – but based on the problem's interface, the first translation direction is left, units 8, then down, units 5. But the problem's text is "A reflection ove…
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question find the equation of a line parallel to $4x + 4y = -8$ that pa…
\(y - 4=-(x + 1)\) (the option with this equation)
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question find the slope of a line parallel to the line whose equation i…
\(-\frac{4}{5}\)
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which transformation would take figure a to figure b? answer a clockwis…
A reflection over the x - axis
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use the pyramid to complete parts (a) through (f) below. b. what is the…
(Part b): A. The line through ∅ and Point E
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in the diagram below, the circles stand for the three branches of gover…
The arrow from the "Judicial" circle to the "Legislative" circle (the arrow that starts at Judicial and points toward Legislative).
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given $m \\parallel n$, find the value of x.
\( x = 62 \)
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which point has coordinates (2.5, -1.5)?
T
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the following graph represents an inequality. select the ordered pairs …
The ordered pairs that are solutions are \((5, -2)\), \((1, 7)\), and \((2, -2)\).
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complete the sentence. to graph the point (8, 3) on the coordinate plan…
D. right... up
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write the coordinates of the vertices after a translation 11 units left…
\( S'(-6, 2) \) \( T'(-3, 2) \) \( U'(-1, 6) \) \( V'(-4, 6) \)
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write the coordinates of the vertices after a translation 4 units up.
\( J'(-9, -3) \), \( K'(-9, 4) \), \( L'(-4, 5) \), \( M'(-4, -2) \)
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write the coordinates of the vertices after a translation 14 units left…
\( J'(-8, -10) \), \( K'(-8, 0) \), \( L'(-7, 0) \), \( M'(-7, -10) \)
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solve the right triangle. write your answers in simplified, rationalize…
\( EF = 3\sqrt{114} \) \( m\angle F = 30 \) \( m\angle D = 60 \)