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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does it mean for sides in similar figures to be proportional?

Back

It means that the ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

The corresponding angles of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What are corresponding angles?

Back

Angles that are in the same relative position in two different shapes.

Tags

CCSS.8.G.A.5

Front

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

Back

The ratio of their sides is 1:2.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the length of a missing side in similar triangles?

Back

Use the proportionality of the sides: (length of side in triangle 1) / (length of corresponding side in triangle 2) = (length of missing side in triangle 1) / (length of corresponding side in triangle 2).

Tags

CCSS.HSG.SRT.A.2

Front

If triangle XYZ is similar to triangle PQR and the lengths of sides are in the ratio 3:5, what is the scale factor?

Back

The scale factor is 3/5.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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 the sides of two similar triangles are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9.

Front

What is the significance of the AA criterion in similar triangles?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Tags

CCSS.HSG.SRT.A.2