Question

question 4
△abc is dilated from the origin at a scale factor of 3 to create △abc
select the option that completes the statement
the triangles corresponding angles are ____ and their corresponding sides are __; therefore, the triangles are ____

Explanation:

When a triangle is dilated, the corresponding angles remain congruent because dilation is a similarity - transformation that preserves angle - measures. The corresponding sides of the original triangle and the dilated triangle are proportional. If the scale factor of dilation is \(k\), the ratio of the lengths of corresponding sides is equal to \(k\). Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional.

Answer:

congruent, proportional, similar