AnswersOC27 GEO-1206310-S1-Degele-VOL7006PProving Lines Parallel

Triangle Similarity: AA Answers

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Two similar triangles are shown.

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A
rotated
B
reflected
C
translated
D
dilated
3

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
4

Read the proof.Given: AEEC; BDDCProve: △AEC ~ △BDC

Question illustration
A
∠ACE ≅ ∠BCD
B
∠EAB ≅ ∠DBC
C
∠EAC ≅ ∠EAC
D
∠CBD ≅ ∠DBC
5

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.

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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.
6

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
7

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
8

Two similar triangles are shown.

Question illustration
A
rotated
B
reflected
C
translated
D
dilated
9

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
10

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

A
orientation
B
side length
C
angle measure
D
overall size

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