Similar Triangles Reteach (Unit 4B)

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

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

What is the SSS (Side-Side-Side) Similarity Theorem?

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 SAS (Side-Angle-Side) Similarity Theorem?

Back

If two sides of one triangle are in proportion to two sides of another triangle, and the included angles are equal, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

How do you determine if two triangles are similar using proportions?

Back

Set up a proportion using the lengths of corresponding sides and check if the ratios are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is a similarity statement?

Back

A statement that indicates that two triangles are similar, typically written as ΔABC ~ ΔDEF.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

Their corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If segment DE is not parallel to segment AC, what can be inferred about the triangles formed?

Back

The triangles may not be similar if the corresponding angles are not equal.

Tags

CCSS.HSG.SRT.A.2

Front

Solve for x: If triangle ABC is similar to triangle DEF, and AB/DE = AC/DF = x/10, find x if AB = 5, DE = 2, AC = 8, DF = 4.

Back

x = 10.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of their areas is equal to the square of the ratio of their corresponding sides.