Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may have different sizes. Their corresponding angles are equal, and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

State the AA (Angle-Angle) similarity postulate.

Back

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

State the SAS (Side-Angle-Side) similarity postulate.

Back

If an angle of one triangle is equal to an 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

State the SSS (Side-Side-Side) similarity postulate.

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

If a power pole 10 m tall casts a shadow 8 m long, how tall is a building that casts a shadow 14 m long?

Back

17.5 m

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

36.6 ft

Tags

CCSS.HSG.SRT.B.4

Front

A telephone booth is 8 ft tall and casts a shadow of 4 ft. How tall is a lawn ornament that casts a 2 ft shadow?

Back

4 ft

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between the heights of similar triangles and their shadows?

Back

The ratio of the heights of similar triangles is equal to the ratio of the lengths of their shadows.

Tags

CCSS.HSG.SRT.B.5

Front

How do you find the height of an object using similar triangles?

Back

Set up a proportion using the heights and shadows of the known object and the unknown object.

Tags

CCSS.HSG.SRT.A.2

Front

What is a proportion in the context of similar triangles?

Back

An equation that states that two ratios are equal, often used to solve for unknown lengths.

Tags

CCSS.HSG.SRT.A.2