AnswersCR CCSS Math 2 S2 M2960OXTriangle Similarity: AA

Triangle Similarity: AA Answers

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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
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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
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.
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