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:The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similarStep-by-step explanation:we know thatIf 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 factorAn 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 similarthereforeThe triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar