Question

The dilation DO,3 (x, y) → (3x, 3y) is performed on the pre-image △ABC to make a similar triangle. Which statements are true? Check all that apply. ∠A corresponds to ∠A'. ∠A'AC' corresponds to ∠B. CB corresponds to C'A. Segment A'A is parallel to segment C'C. △ABC ~ △A'AC'.

Answer 1

Answer:

A - ∠A corresponds to ∠A'.

B - ∠A'AC' corresponds to ∠B.

C - CB corresponds to C'A.

E - △ABC ~ △A'AC'.

Step-by-step explanation:

Edge.

Answer 2

The statements that are true are:

• ∠A corresponds to ∠A'
• △ABC ~ △A'AC'.

How to determine the true statements?

The dilation rule is given as:

DO,3 (x, y) → (3x, 3y)

This means that the triangle is dilated by a scale factor of 3 across the origin.

The above highlight implies that:

• The triangle and the image are similar
• The sides and the angles are corresponding

Hence, the statements that are true are: ∠A corresponds to ∠A' and △ABC ~ △A'AC'.

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