7.5 Parts of 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 in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the Angle-Angle (AA) similarity criterion?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

How do you find the missing side of similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides of the triangles and solve for the missing side.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

The ratio of their areas is the square of the ratio of their corresponding sides. (4:8)² = 1:4.

Front

What is the relationship between the ratios of corresponding sides of similar triangles?

Back

The ratios of the corresponding sides of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If two triangles have sides in the ratio 3:5, what can be said about their angles?

Back

The angles of the triangles are equal, making them similar triangles.

Tags

CCSS.HSG.SRT.A.2

Front

What is a scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If triangle XYZ is similar to triangle PQR, and XY = 6, PQ = 9, what is the scale factor?

Back

The scale factor is 6:9 or 2:3.

Tags

CCSS.HSG.SRT.A.2