Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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the point t(9, 6) is reflected over the x-axis. what are the coordinate…
\((9,-6)\)
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the point b(5, 2) is reflected over the x-axis. what are the coordinate…
\((5,-2)\)
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determine the most precise name for each quadrilateral. the quadrilater…
rectangle
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the point k(5, 6) is reflected over the x-axis. what are the coordinate…
\((5,-6)\)
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in the diagram below, $\\triangle ghi \\sim \\triangle jhk$. find $v$. …
17
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find d. j (angle) k (angle) 75 ft 75 ft l (right angle) n (angle) m (an…
25
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graph the image of e(-8, 3) after a reflection over the x-axis.
The image of the point \(E(-8,3)\) after reflection over the \(x\) - axis is \(E'(-8,-3)\). On the graph, you would plot the point \((-8,-3)\) (8 units to the left of the \(y\) - …
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mei graphed the locations of several places in her town on the coordina…
A. Grocery Store
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lmnp is a rectangle. find the value of x and the length of each diagona…
51
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the point b(-3, -1) is reflected over the x-axis. what are the coordina…
The coordinates of the point \(B'\) are \((-3,1)\)
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find j. write your answer as a whole number or a decimal. do not round.…
9
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lmnp is a rectangle. find the value of x and the length of each diagona…
x = 8 Length of each diagonal = 51
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graph the image of p(4, 1) after a reflection over the x-axis.
The image of \(P(4,1)\) after reflection over the \(x -\)axis is \(P'(4,-1)\).
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find the measures of the numbered angles in the rhombus. m∠1 = 42° m∠2 …
42
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in the diagram below, $\\triangle lkj \\sim \\triangle ihj$. find $s$. …
92
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find y. write your answer as a whole number or a decimal. do not round.…
16
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find g. write your answer as a whole number or a decimal. do not round.…
\( g = 4 \) meters
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3. given: \\(\\overline{pq} \\cong \\overline{rs}\\)\\(\\overline{pq} \…
The proof is completed by showing \(\triangle PQS \cong \triangle RSQ\) using SAS and then using CPCTC to conclude \(\overline{PS} \cong \overline{RQ}\), with the steps filled in …
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the point c(3, -3) is reflected over the y-axis. what are the coordinat…
\((-3,-3)\)
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learn with an example or watch a video in the diagram below, △hgf ~ △he…
\(w = 6\) meters
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find the measures of the numbered angles in the rhombus m∠1 = 42° m∠2 =…
42
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find the measures of the numbered angles in the rhombus. m∠1 = 42° m∠2 …
90
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the point s(6, 4) is reflected over the x-axis. what are the coordinate…
\((6,-4)\)
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the point e(6, 1) is reflected over the y-axis. what are the coordinate…
\((-6,1)\)
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graph the image of v(-9, 1) after a reflection over the y-axis.
The image of \(V(-9,1)\) after reflection over the \(y\)-axis is \((9,1)\).
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the point t(5, -5) is reflected over the y-axis. what are the coordinat…
The coordinates of the resulting point \(T'\) are \((-5,-5)\)
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the point c(-5, 2) is reflected over the y-axis. what are the coordinat…
\((5,2)\)
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the point u(4, -1) is reflected over the x-axis. what are the coordinat…
The coordinates of the resulting point \(U'\) are \((4,1)\)
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find the measure of the numbered angles in each rhombus. m∠1 = \\(\\squ…
33
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graph the image of u(-6, -7) after a reflection over the x-axis.
The image of \(U(-6,-7)\) after reflection over the \(x -\)axis is \((-6,7)\).
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graph the image of f(-1, 9) after a reflection over the y-axis.
The image of \(F(-1,9)\) after reflection over the \(y\)-axis is the point \((1,9)\).
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graph the image of k(-10, 10) after a reflection over the y-axis.
The image of the point \(K(-10,10)\) after reflection over the \(y\) - axis is \(K'(10,10)\). To graph it, locate the point \((10,10)\) on the coordinate plane (10 units to the ri…
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the point h(-5, -1) is reflected over the x-axis. what are the coordina…
\((-5,1)\)
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question 14 of 15 (1 point) | question attempt 3 of 3 complete the part…
For part (b): rise: \( 2 \) run: \( 3 \) slope: \( \frac{2}{3} \) (If the graph shows different proportions, adjust, but since it's the same line, slope must be \( \frac{2}{3} \).)
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the point e(3, -5) is reflected over the y-axis. what are the coordinat…
The coordinates of the resulting point \(E'\) are \((-3,-5)\)
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the figure below is made of 2 rectangular prisms. what is the volume of…
100 cubic in
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the point l(-2, -4) is reflected over the x-axis. what are the coordina…
The coordinates of the resulting point \(L'\) are \((-2,4)\)
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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 a reflection over the \(x -\)axis is \(D'(4,8)\). To graph it, locate the point with \(x = 4\) and \(y = 8\) on the coordinate plane.
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the figure below is made of 2 rectangular prisms. what is the volume of…
B. 190 cubic m
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my mom built a new sandbox that is 3 m long, 2 m wide, and 1 m high for…
\( 27 \)
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a. what transformations did the artist use when creating this image? se…
a. rotations, reflections, translations b. yes; All of the figures are translations of an original shape.
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drawing conclusions the pattern shown is called a tessellation. a. what…
Reflections, Rotations, Translations
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graph the image of parallelogram stuv after a dilation with a scale fac…
The image of parallelogram \( STUV \) after dilation has vertices \( (-4,-8) \), \( (4,-8) \), \( (4,8) \), \( (-4,8) \). Plot these points to form the dilated parallelogram.
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these prisms are made from the same size unit cubes. which rectangular …
A. The 2 prisms have equal volume.
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find the angle of rotation that maps a onto a. the angle of rotation is…
110
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describe a congruence transformation that maps the blue preimage to the…
D. a 180° rotation about the origin
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what is the volume of the following figure? front view back view two fi…
# Explanation: ## Step1: Analyze front view layers Front view has 3 layers. Bottom layer: count visible and hidden? Wait, better to use back view or sum layers. Wait, each small c…
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which congruence transformation maps the blue preimage to the green ima…
a reflection in the x-axis followed by a translation 2 units right and 1 unit down
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complete the sentence two geometric figures are if and only if there is…
congruent
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what is the volume of the rectangular prism? image of a rectangular pri…
56
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complete the parts below a) find the rise, run, and slope given by tria…
(for part a, assuming the above): rise: 6, run: 1, slope: 6 (Note: For part b, similar approach: find vertical change (rise) and horizontal change (run) for triangle DEF, then slo…
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these prisms are made from the same size unit cubes. which rectangular …
A. The 2 prisms have equal volume.
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plot the image of point b under a dilation about the origin (0, 0) with…
The image of point B is at (4, 4) (plot the point with x - coordinate 4 and y - coordinate 4 on the coordinate plane).
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question 14 of 15 (1 point) | question attempt 1 of 3 complete the part…
rise: 8, run: 4, slope: 2
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all rectangles have four right angles and opposite sides that are equal…
First quadrilateral: Rectangle Second quadrilateral: Rectangle Third quadrilateral: Not rectangle
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below are two parallel lines with a third line intersecting them. 125° …
\(55\)
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which of the following shapes are quadrilaterals? choose 2 answers: a s…
A. Square, C. Trapezoid
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which of the following statements is true? select all that apply. (imag…
The true statements are: - $\boldsymbol{\angle J \cong \angle L}$ (isosceles $\triangle JKL$, $JK = LK$) - $\boldsymbol{\text{The circumcenter for each triangle is located inside …
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below are two parallel lines with a third line intersecting them. x = \…
\(66\)
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** this is a 2-page document directions: find the value of x. 1. right …
1. \(\sqrt{149}\approx12.21\) 2. \(\sqrt{80}\approx8.94\) 3. \(\sqrt{473}\approx21.75\) 4. \(\sqrt{135.75}\approx11.65\) 5. \(\sqrt{724}\approx26.91\) (or correct based on diagram…
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graph △abc and its image after a rotation 90° about the origin.
The image triangle after 90° counterclockwise rotation about the origin has vertices at (-3,-3), (-4,1), (-1,3). Plot these points to form the rotated triangle. (Note: If clockwis…
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16 what is malice? ○ a strong wish to succeed. ○ a strong desire to lau…
A strong hatred of someone. ### Question 17: Your predecessor is:
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choose 2 answers: a obtuse triangle b isosceles triangle c acute triang…
D. Scalene triangle, and another (but based on the options, maybe the question intended D and another, but I think the correct two are D (Scalene triangle[LLM SSE On Failure]
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9. a. \\(\\sin\\theta = \\) b. \\(w = \\) c. \\(\\theta = 10. describe …
- Angles with positive \( y \)-values: Angles of rotation \( \boldsymbol{\theta} \) where \( 0^\circ < \theta < 180^\circ \) (or \( 0 < \theta < \pi \) radians, and all coterminal…
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4.7 interpret linear relationships question 14 of 15 (1 point) | questi…
(a) rise: 4, run: 2, slope: 2 (b) rise: 8, run: 4, slope: 2 (Wait, no, run should be 8. Maybe the correct answer is: (a) rise = 4, run = 2, slope =
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are these triangles similar? f g 56° 31° h w 25° v 56° u yes no
no
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graph the image of parallelogram stuv after a dilation with a scale fac…
The image of parallelogram STUV after dilation has vertices at $(-4, -12)$, $(4, -12)$, $(4, 8)$, and $(-4, 8)$. Plot these points and connect them to form the dilated parallelogr…
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9 ordering 1 point order the sides from least to greatest m n 78° 48° l…
1. \( ML \) 2. \( MN \) 3. \( LN \)
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which statements about squares and equilateral triangles are true? choo…
A. Both shapes have all sides of equal length, B. Both shapes have all angles of equal measure
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which rule explains why these triangles are similar? v u t 94° 30° s 30…
\(\triangle VWU\sim\triangle TRS\)
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** this is a 2-page document! ** directions: find the slope of the line…
1. \(2\) 2. \(-\frac{1}{2}\) 3. \(\frac{3}{2}\) 4. Undefined 5. \(-4\) 6. \(0\)
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which rule explains why these triangles are similar? v u t 94° 30° s 30…
AA
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ordering 1 point order the angles from greatest to least triangle with …
\(\angle Z>\angle Y>\angle X\)
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choose all answers that apply: a parallelogram b rhombus c rectangle d …
A. Parallelogram, B. Rhombus
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the perimeter of the pentagon below is 67 units. find the length of sid…
\(16\)
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determine the value of each variable. then explain, with a test, why th…
Problem6: x=78°, y=64°; AA similarity. Problem7: b=7.8 cm, z=35°; SAS similarity.
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order the angles from least to greatest triangle nqr with side nq = 21 …
\(\angle N,\angle R,\angle Q\)
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the perimeter of the rectangle below is 150 units. find the value of z.…
\(z = 10\)
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if a triangle has lengths of 3 ft and 54 ft, check all the possible len…
\(53\) ft, \(55\) ft
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the perimeter of the rectangle below is 172 units. find the length of s…
\(36\)
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the perimeter of the triangle below is 72 units. find the length of sid…
\(35\)
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are these triangles similar? s t (45), s u (35), u t (55); e d (54), e …
\(\triangle STU\sim\triangle EDF\)
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directions: solve and graph the following absolute 1. |x| ≤ 5 interval …
The solution of the inequality \(|x|\leq5\) is \(-5\leq x\leq5\) and its interval notation is \([-5,5]\). On the number - line, we draw a solid circle at \(-5\) and \(5\) (because…
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6. a cone has a radius of 4 centimeters (cm) and a volume of 80π cubic …
15
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use the given information to prove that ( mangle 2 = mangle 3 ). given:…
\(m\angle2 = m\angle3\) is proved as shown above.
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what is the volume of the composite figure, rounded to the nearest hund…
\(729.97\space cm^{3}\) (the option with \(729.97\space cm^{3}\))
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a cylinder has a radius of 6 inches and a height of 9.2 inches. what is…
\( 331.2\pi \)
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a cube is shown with a cross section creating square gpmh where gh = hm…
The perimeter of the cross - section is \(14\) and the area of the cross - section is \(12.25\).
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use the given information to prove that m∠abc = m∠edc. given: m∠1 = m∠4…
Since \(m\angle ABC=m\angle1 + m\angle2\) and \(m\angle EDC=m\angle2 + m\angle1\) (by substitution of equal angles), we have \(m\angle ABC = m\angle EDC\) (by the commutative prop…
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use the given information to prove that ( mangle abc = mangle edc ). gi…
Since \(m\angle ABC=m\angle1 + m\angle2\) and \(m\angle EDC=m\angle3 + m\angle4\), and \(m\angle1 = m\angle4\), \(m\angle2 = m\angle3\), then \(m\angle ABC=m\angle EDC\) by substi…
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a local grocery store sells lunch meat by the pound, where they slice t…
\( 16\pi \)
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given ∠1 ≅ ∠2 prove p || q statements 1 ∠1 ≅ ∠2 reasons 1 given correct…
2. $\angle1\cong\angle3$ 3. $\angle2\cong\angle3$ 4. $p\parallel q$
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31. find the value of the variables in the figure. (5x - 7)° (4y + 3)° …
\(x = 8\) and \(y = 34\)
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the length of a rectangle is 4 more than the width. the area of the rec…
The length of the rectangle is 10 yards. The equation representing the situation is \( w(w + 4)=60 \) (or \( w^2+4w - 60 = 0 \)), and using zero - product property, we solve \( (w…
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a diagram is shown (image of a geometric figure with a coordinate syste…
a. 2 b. 20 c. \( \frac{\pi}{2} \) (or ≈1.57) d. \( 22 - \frac{\pi}{2} \) (or ≈20.43)
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ubes have sides of equal lengths. what is the fastest way to measure th…
B. measure one side with a ruler, and multiply that number by itself three times
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a diagram is shown. a. solve for area of triangle b. solve for the area…
The area of the triangle is \( \boldsymbol{6} \) square units.
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lines l, m, and n lie in a plane and are cut by a transversal, t. ∠1 is…
Lines \(m\) and \(n\) are parallel.
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11. solve for x. (the image shows a hexagon with angles 100, 120, 120, …
\(x = 130\)
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which diagram represents the hypothesis of the converse of correspondin…
The first diagram.