AnswersCR CCSS Math 2 S2 M2960OXTriangle Similarity: AA

Triangle Similarity: AA Answers

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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
2
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Multiple similarity transformations are performed on a triangle. Which elements must be preserved?

A
orientation
B
side length
C
angle measure
D
overall size
3

Two similar triangles are shown.

Question illustration
A
rotated
B
reflected
C
translated
D
dilated
4

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
5

Question text not available

Question illustration
A
Option
Option A
B
and
Option B
C
and
Option C
D
and
Option D
6

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
7

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
8

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
9

Two similar triangles are shown.

Question illustration
A
rotated
B
reflected
C
translated
D
dilated
10

On a coordinate plane, triangle A B C has points (negative 9, 3), (negative 9, 6), (0, 3) and triangle A double-prime B double-prime C double-prime has points (3, negative 1), (3, negative 2), and (0, negative 1).

Question illustration
A
a reflection over the x-axis, then a dilation by a scale factor of 3
B
a reflection over the x-axis, then a dilation by a scale factor of
Option B
C
a 180° rotation about the origin, then a dilation by a scale factor of 3
D
a 180° rotation about the origin, then a dilation by a scale factor of
Option D

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