AnswersCR CCSS Math 2 S2 M2960OXTriangle Similarity: AA

Triangle Similarity: AA Answers

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Two similar triangles are shown.

Question illustration
A
rotated
B
reflected
C
translated
D
dilated
2
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Question illustration
A
Option
Option A
B
and
Option B
C
and
Option C
D
and
Option D
3

Read the proof.Given: AB ∥ DEProve: △ABC ~ △EDC

Question illustration
A
AA similarity theorem
B
ASA similarity theorem
C
AAS similarity theorem
D
SAS similarity theorem
4

Triangle A B C is reflected and then dilated to form smaller triangle A double-prime B double-prime C double-prime

Question illustration
A
a rotation and a dilation
B
a rotation and a reflection
C
a reflection and a dilation
D
a translation and a dilation
5

Which diagram could be used to prove △ABC ~ △DEC using similarity transformations?

A
Triangle A B C is reflected across side A C and then is dilated to form smaller triangle D C E.
Option A
B
Triangle A B C is reflected, translated to the left, and then is dilated to form triangle D C E.
Option B
C
Triangles A B C and D E C are shown. The angle measures differ between the 2 triangles.
Option C
D
Triangles A B C and D E C are connected at point C. The triangles are shaped differently.
Option D
6

ΔXYZ was reflected over a vertical line, then dilated by a scale factor of , resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.

Question illustration
A
△XYZ ~ △X'Y'Z'
B
XZY ≅ Y'Z'X'
Option B
C
YX ≅ Y'X'
D
XZ = 2X'Z'
E
mYXZ = 2mY'X'Z'
Option E
7

The composition is applied to △RST to create the image of △R"S"T", which is not shown.

Question illustration
A
(negative three-halves, nine-halves)
Option A
B
(negative nine-halves, fifteen-halves)
Option B
C
(nine-halves, negative three-halves)
Option C
D
(negative fifteen-halves, 0)
Option D
8

Multiple similarity transformations are performed on a triangle. Which elements must be preserved?

A
orientation
B
side length
C
angle measure
D
overall size
9

Two similar triangles are shown.

Question illustration
A
rotated
B
reflected
C
translated
D
dilated
10

Right triangle ABC is reflected over AC, then dilated by a scale factor of to form triangle DEC. Which statements about the two triangles must be true? Select three options.

Question illustration
A
△ABC ~ △DEC
B
∠B ≅ ∠E
C
3BC = 2EC
D
3DE = 2AB
E
3m∠A = 2m∠D
F
2m∠A = 3m∠D

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