AnswersCR CCSS Math 2 S2 M2960OXTriangle Similarity: AA

Triangle Similarity: AA Answers

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3

rightverticalcongruent

A
right
B
vertical
C
congruent
4

correspondingverticalsupplementary

A
corresponding
B
vertical
C
supplementary
5

SSSAAHL

A
SSS
B
AA
C
HL
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rotation of 90 degrees about Breflection across ABdilation with center Ctranslation left

A
rotation of 90 degrees about B
B
reflection across AB
C
dilation with center C
D
translation left
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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
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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...]
B
[Image: Triangle X Y Z is reflected across line m and then...]
C
[Image: Triangle X Y Z is reflected across line m to form ...]
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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
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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
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YXVXVYWVZ

A
YXV
B
XVY
C
WVZ
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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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