AnswersCR CCSS Math 2 S2 M2960OXTriangle Similarity: AA

Triangle Similarity: AA 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
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

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
4

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
5

Two similar triangles are shown.

Question illustration
A
rotated
B
reflected
C
translated
D
dilated
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

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
9

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
10

Triangle A B C is reflected across side A C and then is dilated to form smaller triangle D C E. Angles B C A and D C E are right angles.

Question illustration
A
The triangles are not similar because only one pair of corresponding angles is congruent.
B
The triangles are similar because all right triangles can be mapped to each other using a series of transformations.
C
The triangles are not similar because they share a common segment and vertex.
D
The triangles are similar because all pairs of corresponding angles are congruent.

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