Question

ΔABC is dilated from the origin at a scale factor of 3 to create ΔA′B′C′. Select the option that completes the statement: The triangles' corresponding angles are ________, and their corresponding sides are ________; therefore, the triangles are ________.

Answer 1

The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar

Explanation:

Answer 2

The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar

Explanation:

we know that

If two figures are similar, then their corresponding angles are congruent and their corresponding sides are proportional. The ratio of its corresponding sides is called the scale factor

An dilatation is a transformation that does not modify the internal angles of the figure or the proportion of its measurements.

In this problem ΔABC and ΔA′B′C′ are similar

therefore

The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar