Triangle Similarity: AA Answers

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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.

The triangles are not similar because only one pair of corresponding angles is congruent.

The triangles are similar because all right triangles can be mapped to each other using a series of transformations.

The triangles are not similar because they share a common segment and vertex.

The triangles are similar because all pairs of corresponding angles are congruent.

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Two similar triangles are shown.

rotated

reflected

translated

dilated

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

a rotation, then a reflection

a translation, then a rotation

a reflection, then a translation

a rotation, then a dilation

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

∠ACE ≅ ∠BCD

∠EAB ≅ ∠DBC

∠EAC ≅ ∠EAC

∠CBD ≅ ∠DBC

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

Triangle A B C is rotated about point C and then is dilated to form smaller triangle C E D.

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

Triangles A B C and C E D have different angle measures.

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

Two similar triangles are shown.

rotated

reflected

translated

dilated

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

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

Triangle A B C is reflected, translated to the left, and then is dilated to form triangle D C E.

Triangles A B C and D E C are shown. The angle measures differ between the 2 triangles.

Triangles A B C and D E C are connected at point C. The triangles are shaped differently.

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