Larson Similar Triangles Word Problems

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 proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the AA criterion for triangle similarity?

Back

The AA (Angle-Angle) criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS criterion for triangle similarity?

Back

The SAS (Side-Angle-Side) criterion states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS criterion for triangle similarity?

Back

The SSS (Side-Side-Side) criterion states that if the corresponding sides of two triangles are proportional, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

If two figures are similar, the corresponding sides are ______________.

Back

proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Solve for x: If triangle ABC is similar to triangle DEF, and the sides are in the ratio 2:3, find x if AB = 8 and DE = x.

Back

x = 12.

Tags

CCSS.HSG.SRT.A.2

Front

If a 42.9 ft tall statue casts a 253.1 ft long shadow, how long is the shadow that a 6.2 ft tall man casts?

Back

36.6 ft.

Tags

CCSS.HSG.SRT.B.4

Front

Find the height of the tree if it casts a shadow of 15 ft and a 6.2 ft tall man casts a shadow of 36.6 ft.

Back

15 ft.

Tags

CCSS.HSG.SRT.C.8

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is a proportional relationship in the context of similar triangles?

Back

A proportional relationship means that the ratios of the lengths of corresponding sides of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2