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

If two triangles are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are equal.

Front

If the sides of two similar triangles are in the ratio 2:3, what can be said about their areas?

Back

The areas of the triangles are in the ratio of the squares of the sides, which is 4:9.

Front

What is the relationship between the sides of similar figures?

Back

The sides of similar figures must be proportional.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 6 cm, what is the ratio of AB to DE?

Back

The ratio of AB to DE is 4:6 or 2:3.

Front

What is the missing angle in a triangle if two angles measure 47° and 86°?

Back

The missing angle is 47° (since the sum of angles in a triangle is 180°).

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.

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they are the same shape and size.

Front

Back

Front

In similar triangles, if one triangle has a side length of 8 cm and the corresponding side in the other triangle is 12 cm, what is the scale factor?

Back

The scale factor is 8:12 or 2:3.