AnswersCR CCSS Math 2 S2 M2960OXTriangle Similarity: AA

Triangle Similarity: AA Answers

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1
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Which sequence of similar transformations could map △ABC onto △A'B'C'?

A
dilation and reflection
B
dilation and translation
C
translation and rotation
D
translation and reflection
2
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rotation of 90 degrees about B'reflection across A'B'✔ dilation with center C'translation left

A
rotation of 90 degrees about B'
B
reflection across A'B'
C
✔ dilation with center C'
D
translation left
3

rightvertical✔ congruent

A
right
B
vertical
C
✔ congruent
4

corresponding✔ verticalsupplementary

A
corresponding
B
✔ vertical
C
supplementary
5

SSS✔ AAHL

A
SSS
B
✔ AA
C
HL
6

Which statements must be true regarding the two triangles? Check all that apply.

A
∠M ≅ ∠M''
B
△LMN ~ △L''M''N''
C
△LMN ≅ △L''M''N''
D
The coordinates of vertex L'' are (-3, 1.5).
E
The coordinates of vertex N'' are (3, -1.5).
F
The coordinates of vertex M'' are (1.5, -1.5).
7

Which similarity transformation could map △DEF to △D'E'F'?

A
dilation and reflection
B
dilation and translation
C
rotation and dilation
D
rotation and reflection
8

Triangle XYZ was reflected across m and then dilated to form a similar triangle. Which triangle represents the image?

A
[Image: Triangle X Y Z is reflected across line m. It is r...]
Option A
B
[Image: Triangle X Y Z is reflected across line m and then...]
Option B
C
[Image: Triangle X Y Z is reflected across line m to form ...]
Option C
9

What additional information could be used to prove that △ABC ~ △NML? Check all that apply.

A
∠B ≅ ∠M
B
△ABC is a right triangle.
C
△ABC was rotated and dilated by a scale factor between 0 and 1.
D
△ABC was translated right and down.
E
∠C ≅ ∠L
10

Determine the similarity transformations that verify △ABC ~ △A''B''C'.

Answers:
The first transformation mapping △ABC to △A'B'C' is a .:translation left
The second transformation mapping △A'B'C' to △A''B''C' is a .:dilation with center C'
11

Use the drop-down menus to complete the paragraph proof.

Answers:
We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We:YXV
We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We:WZV
We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We:congruent
We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We:vertical
We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We:AA
12

Melissa believes that the AA similarity theorem can prove that the triangles are similar. Which fact would be necessary in the proof?

A
△ABC is an acute triangle.
B
△TRS is larger than △ABC.
C
The sum of the measures of the interior angles of a triangle is 180°.
D
The sum of the side lengths of two sides of a triangle is greater than the third side length.
13

YVXZVW✔ WZV

A
YVX
B
ZVW
C
✔ WZV
14

Use the drop-down menus to complete the paragraph proof.

Answers:
We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We:YXV
We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We:WZV
We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We:congruent
We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We:vertical
We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We:AA
15

Given: FH ⊥ GH; KJ ⊥ GJ

Answers:
♣ = ♦ = ♠ =:all right angles are congruent
♣ = ♦ = ♠ =:angle FGH is congruent to angle KGJ
♣ = ♦ = ♠ =:AA similarity theorem
16

angle FHG is congruent to angle GJKangle HFG is congruent to angle GKJ✔ angle FGH is congruent to angle KGJangle GFH is congruent to angle GJK

A
angle FHG is congruent to angle GJK
B
angle HFG is congruent to angle GKJ
C
✔ angle FGH is congruent to angle KGJ
D
angle GFH is congruent to angle GJK
17

SSS similarity theoremASA similarity theorem✔ AA similarity theoremSAS similarity theorem

A
SSS similarity theorem
B
ASA similarity theorem
C
✔ AA similarity theorem
D
SAS similarity theorem

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