Using 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 determine if two triangles are similar using their angles?

Back

If all three pairs of corresponding angles are equal, the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The lengths of the corresponding sides are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

If a power pole 10 m tall casts a shadow 8 m long, what is the ratio of the height of the pole to the length of its shadow?

Back

The ratio is 10:8 or 5:4.

Front

If a building casts a shadow of 14 m when a 10 m pole casts a shadow of 8 m, how do you find the height of the building?

Back

Use the proportion: height of building / 14 m = 10 m / 8 m. Solve for the height of the building.

Tags

CCSS.HSG.SRT.C.8

Front

What is the height of the building if it casts a shadow of 14 m?

Back

The height of the building is 17.5 m.

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