AnswersCR CCSS Math 2 S2 M2960OXTriangle Similarity: AA

Triangle Similarity: AA (Sec 7-3, 7-4) Answers

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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
3

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
4

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
5

Triangle A E C is shown. Line segment B D is drawn near point C to form triangle B D C.

Question illustration
A
∠BDC and ∠AED are right angles
B
AE ≅ ED
C
△BDC is a right triangle
D
∠DBC ≅ ∠DCB
6

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

A
Triangle A B C is rotated about point C and then is dilated to form smaller triangle C E D.
Option A
B
Triangle A B C is reflected across side A C and then is dilated to form smaller triangle C E D.
Option B
C
Triangles A B C and C E D have different angle measures.
Option C
D
Right triangle A B C is shown. Line segment D E is drawn near point C to form triangle D E C.
Option D
7

Two similar triangles are shown.

Question illustration
A
rotated
B
reflected
C
translated
D
dilated
8

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
9

Which composition of transformations will create a pair of similar, not congruent triangles?

A
a rotation, then a reflection
B
a translation, then a rotation
C
a reflection, then a translation
D
a rotation, then a dilation
10

Two similar triangles are shown.

Question illustration
A
rotated
B
reflected
C
translated
D
dilated

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Triangle Similarity: AA (Sec 7-3, 7-4) Answers…