AnswersAZ-Geometry A MA201Isosceles Triangles

Isosceles Triangles — Cumulative exam Answers

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Subtract from .

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
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
3

Triangle K L J is cut by line segment N O. Line segment N O goes from side L K to side L J. The length of L N is (x minus 3) inches, the length of N K is (x + 2) inches, the length of L O is (x minus 4) inches, and the length of O J is x inches.

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A
1
B
6
C
8
D
10
4

Rectangle J K L M is shown. Diagonals are drawn from point J to point L and from point K to point M and intersect in the middle. All angles are right angles. The length of J M is 12 and the distance from M to the center point is 10.

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A
32 units
B
44 units
C
56 units
D
64 units
5

Point O is the incenter of ΔABC.

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A
5°
B
9°
C
12°
D
24°
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°

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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°.
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Which polynomial is in standard form?

A
mc019-1.jpg
Option A
B
mc019-2.jpg
Option B
C
mc019-3.jpg
Option C
D
mc019-4.jpg
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

[BLANK]

A
congruence
B
symmetric
C
reflexive
D
transitive
10

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

A
mc019-1.jpg
Option A
B
mc019-2.jpg
Option B
C
mc019-3.jpg
Option C
D
mc019-4.jpg
Option D
11

Point Z is equidistant from the sides of ΔRST.

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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
12

Triangle DEF is an isosceles, so DEF DFE.

Question illustration
A
105°
B
125°
C
150°
D
165°
13

Triangle RST has vertices R(2, 0), S(4, 0), and T(1, –3). The image of triangle RST after a rotation has verticesR'(0, –2), S'(0, –4), and T'(–3, –1). Which rule describes the transformation?

A
R0, 90°
B
R0, 180°
C
R0, 270°
D
R0, 360°
14

Which figures are shown in the diagram? Select three options.

A
line CD
B
point D
C
ray CD
D
ray DC
E
segment CD
15

Horizontal and parallel lines c and d are cut by transversal p. At the intersection of lines c and p, the uppercase left angle is angle 1 and the uppercase right angle is angle 2. At the intersection of lines d and p, the uppercase right angle is angle 3 and the bottom left angle is angle 4.

Question illustration
A
m∠1 = 81° and m∠2 = 99°
B
m∠3 = 99° and m∠4 = 99°
C
m∠2 = 99° and m∠4 = 99°
D
m∠4 = 81° and m∠1 = 81°
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
17

Rectangle ABCD was dilated to create rectangle A'B'C'D.

Question illustration
A
6 units
B
7.6 units
C
9.5 units
D
12 units
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
19

A line contains the following points left to right: R, T, U, S. The space between R and T is 12 units. The space between R and S is 24 units.

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A
SU + UT = RT
B
RT + TU = RS
C
RS + SU = RU
D
TU + US = RS
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.

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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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