Isosceles Triangles — Cumulative exam Answers

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Subtract from .

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A
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Option A
B
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Option B
C
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Option C
D
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Option D
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Triangle ABC was reflected over line m, then dilated by a scale factor between 0 and 1. Which diagram illustrates these transformations?

A
Triangle A B C is reflected across line m and then is dilated to form smaller triangle A double-prime B double-prime C double-prime
Option A
B
Triangle A B C is rotated about line m and then dilated to form smaller triangle A double-prime B double-prime C double-prime
Option B
C
Triangle A B C is reflected across line m and then is dilated to form larger triangle A double-prime B double-prime C double-prime
Option C
D
Triangle A B C is rotated about line m and then dilated to form larger triangle A double-prime B double-prime C double-prime
Option D
6

Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.J = 90° J' = 90°K = 65° K' = 65°L = 25° L' = 25°

Question illustration
A
It is a rigid transformation because the pre-image and image have the same corresponding angle measures.
B
It is not a rigid transformation because the corresponding side lengths are not equal.
C
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
D
It can be a rigid or a nonrigid transformation because a pair of corresponding angles measures 90°.
7

Which polynomial is in standard form?

A
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Option A
B
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Option B
C
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Option C
D
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Option D
8

The triangles are congruent by the SSS congruence theorem.

Question illustration
A
reflection, then rotation
B
reflection, then translation
C
rotation, then translation
D
rotation, then dilation
9

congruencesymmetricreflexivetransitive

A
congruence
B
symmetric
C
reflexive
D
transitive
10

Which expression is equivalent to 2x2 – 2x + 7?

A
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Option A
B
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Option B
C
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Option C
D
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Option D
11

Point Z is equidistant from the sides of ΔRST.

Question illustration
A
Line segment S Z is-congruent-to line segment T Z
Option A
B
Line segment R Z is-congruent-to line segment B Z
Option B
C
CTZ ASZ
Option C
D
ASZ ZSB
Option D
16

Which shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin?

Question illustration
A
On a coordinate plane, a triangle has points X (2, negative 2), Y (6, 0), Z (1, 1).
Option A
B
On a coordinate plane, a triangle has points X (2, 2), Y (6, 0), and Z (1, negative 1).
Option B
C
On a coordinate plane, a triangle has points X (negative 2, negative 2), Y (6, 0), Z (negative 1, 1).
Option C
D
On a coordinate plane, a triangle has points X (negative 2, 2), Y (negative 6, 0), Z (negative 1, negative 1).
Option D
18

In the diagram, the ratios of two pairs of corresponding sides are equal.

Question illustration
A
∠N ≅ ∠Z
B
∠N ≅ ∠X
C
∠L ≅ ∠Z
D
∠L ≅ ∠Y
20

Quadrilateral W X Y Z is shown. The length of W X is (x + 8) millimeters, the length of X Y is (2 x minus 5) millimeters, the length of Z Y is 15 millimeters, and the length of W Z is (x + 2) millimeters.

Question illustration
A
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.
B
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 7 mm.
C
WXYZ cannot be a parallelogram because there are three different values for x when each expression is set equal to 15.
D
WXYZ cannot be a parallelogram because the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.

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