Corresponding sides and angles and scale factor

Front

What are corresponding sides in similar triangles?

Back

Corresponding sides are the sides of two or more triangles that are in the same relative position. For example, if triangle ABC is similar to triangle DEF, then side AB corresponds to side DE.

Front

What are corresponding angles in similar triangles?

Back

Corresponding angles are the angles in two or more triangles that are in the same relative position. For example, if triangle ABC is similar to triangle DEF, then angle A corresponds to angle D.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you find the scale factor between two similar shapes?

Back

The scale factor is found by dividing the length of a side of the larger shape by the length of the corresponding side of the smaller shape.

Front

If triangle ABC is similar to triangle DEF and AB = 4 cm, DE = 8 cm, what is the scale factor?

Back

The scale factor is 2, since 8 cm (DE) divided by 4 cm (AB) equals 2.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If ∆XYZ ≅ ∆KLM, what can we say about the sides?

Back

The corresponding sides of ∆XYZ and ∆KLM are proportional.

Front

What is the scale factor if a triangle's side length is doubled?

Back

The scale factor is 2.

Front

If angle A corresponds to angle D in similar triangles, what can we say about their measures?

Back

The measure of angle A is equal to the measure of angle D.

Front

What is the scale factor from triangle ABC to triangle DEF if the sides of DEF are half the length of the sides of ABC?

Back

The scale factor is 1/2.