7.7 Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

In similar triangles, what is true about corresponding angles?

Back

Corresponding angles are congruent (equal in measure).

Front

In similar triangles, what is true about corresponding sides?

Back

Corresponding sides are proportional (the ratios of their lengths are equal).

Front

What does AA~ stand for in triangle similarity?

Back

AA~ stands for 'Angle-Angle Similarity', which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SAS~ stand for in triangle similarity?

Back

SAS~ stands for 'Side-Angle-Side Similarity', which states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What does SSS~ stand for in triangle similarity?

Back

SSS~ stands for 'Side-Side-Side Similarity', which states that if the lengths of the corresponding sides of two triangles are proportional, the triangles are similar.

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 1:2.

Front

If two triangles are similar, how do you find the length of an unknown side?

Back

Use the proportionality of corresponding sides. Set up a proportion based on the lengths of known sides.

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

If triangle XYZ is similar to triangle PQR, and the length of side XY is 5 cm and side PQ is 10 cm, what is the scale factor?

Back

The scale factor is 1:2.