AnswersMFISD GEOMETRY A 22-23 CRTest

Test — Unit test Answers

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1
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Which statements are correct? Select three options.

A
△BCD is similar to △BSR.
B
StartFraction B R Over R D EndFraction = StartFraction B S Over S C EndFraction
Option B
C
If the ratio of BR to BD is , then it is possible that BS = 6 and BC = 3.
Option C
D
(BR)(SC) = (RD)(BS)
E
StartFraction B R Over R S EndFraction = StartFraction B S Over S C EndFraction
Option E
2
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Which graph shows a dilation?

A
On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 2, 0), (negative 2, 1), and (0, 0). The larger triangle has points (negative 3, 0), (negative 3, 4), and (2, 0).
Option A
B
On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 2, 0), (negative 2, 2), and (1, 0). The larger triangle has points (negative 3, 0), (negative 3, 4), and (2, 0).
Option B
C
On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 1, 0), (negative 1, 1), and (2, 0). The larger triangle has points (negative 2, 0), (negative 2, 3), and (4, 0).
Option C
D
On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 1, 0), (negative 1, 2), and (3, 0). The larger triangle has points (negative 2, 0), (negative 2, 3), and (4, 0).
Option D
3

Triangle A B C is cut by line segment F G. Line segment F G goes from side A B to side A C. The length of B F is x + 6, the length of F A is x + 1, the length of C G is x + 3, and the length of G A is x minus 1.

Question illustration
A
1
B
3
C
6
D
9
4

Point O is the center of dilation. Triangle D E F is dilated to create smaller triangle D prime E prime F prime. The length of O F prime is 3. The length of F prime F is 7.

Question illustration
A
Three-tenths
Option A
B
Three-sevenths
Option B
C
Seven-thirds
Option C
D
7
5

In the diagram, .

Question illustration
A
WV and XY
B
WV and ZY
C
∠VZW ≅ ∠YZX
D
∠VWZ ≅ ∠YXZ
6

Triangle ABC will be dilated according to the rule(x,y), where point F is the center of dilation.

Question illustration
A
(-8,-4)
B
(-2,-1)
C
(0, 0)
D
(1, 0)
7

Quadrilateral FGHJ is dilated according to the ruleDO,(x,y) to create the image quadrilateral F'G'H'J', which is not shown.

Question illustration
A
(-2,-4)
B
(-2,-6)
C
(Negative nine-halves, negative 4)
Option C
D
(Negative nine-halves, negative 9)
Option D
8

The statements below can be used to prove that the triangles are similar. ? △ABC ~ △XYZ by the SSS similarity theorem.Which mathematical statement is missing?

Question illustration
A
StartFraction Y Z Over B C = StartFraction 6 Over 3 EndFraction
Option A
B
∠B ≅ ∠Y
C
StartFraction B C Over Y Z EndFraction = StartFraction 6 Over 3 EndFraction
Option C
D
∠B ≅ ∠Z
9

Read the proof.Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100°Prove: △HKJ ~ △LNP

Question illustration
A
CPCTC
B
definition of supplementary angles
C
triangle parts relationship theorem
D
triangle angle sum theorem
10

Triangle A B C is cut by line segment M N. Line segment M N goes from side A B to side B C and cuts both sides into equal parts. The lengths of A M and M B are 88 centimeters, the lengths of C N and N B are 75 centimeters, and the length of A C is 116 centimeters.

Question illustration
A
58 cm
B
75 cm
C
88 cm
D
116 cm
11

Two similar triangles are shown.

Question illustration
A
translated
B
reflected
C
dilated
D
rotated
12

Points Q and R are midpoints of the sides of triangle ABC.

Question illustration
A
10 units
B
14 units
C
20 units
D
32 units
13

To prove that ΔAED ˜ ΔACB by SAS, Jose shows that .

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

Which best explains whether or not all isosceles triangles are similar?

A
All isosceles triangles are similar. Two angles within each triangle are always congruent.
B
All isosceles triangles are similar. The triangle sum theorem states that the sum of the angles in a triangle is 180°. Therefore, the third angle can always be determined.
C
All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
D
All isosceles triangles are not similar. Given only the vertex angle of an isosceles triangle, there is not enough information to determine the measures of the base angles. Therefore, it is not possible to determine if the base angles of one isosceles triangle are congruent to the base angles of another.
15

Triangle QRS is to be dilated using the rule .

Question illustration
A
2 units
B
4 units
C
6 units
D
8 units
16

△ABC is an isosceles triangle with legs AB and AC. △AYX is also an isosceles triangle with legs AY and AX.

Question illustration
A
∠A ≅ ∠A; reflexive property
B
∠X ≅ ∠X; reflexive property
C
∠ABC ≅ ∠AYX; corresponding angles of similar triangles
D
∠ABC ≅ ∠AXY; corresponding angles of similar triangles
17

Which statements are true? Select two options.

A
∠R corresponds to ∠P'QQ'.
B
∠PQR corresponds to ∠QPQ'.
C
Segment QQ' is parallel to segment PP'.
D
Side RQ corresponds to side QQ'.
E
△PQR ≅ △P'Q'Q
18

Rectangle ABCD was dilated to create rectangle A'B'C'D' using point R as the center of dilation.

Question illustration
A
3 units
B
5 units
C
6 units
D
9 units
19

Line segment ST is dilated to create line segment S'T' using the dilation rule DQ,2.25.

Question illustration
A
x = 2.25 units
B
x = 2.5 units
C
x = 4.25 units
D
x = 4.5 units
20

Triangles A B C and A double-prime B double-prime C double-prime are shown. Triangle A double-prime B double-prime C double-prime is smaller and to the right of triangle A B C.

Question illustration
A
a reflection and a dilation
B
a rotation and a dilation
C
a translation and a dilation
D
a reflection and a translation

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