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 angle in similar triangles?

Back

Use the property that the sum of angles in a triangle is 180 degrees. If two angles are known, subtract their sum from 180 to find the missing angle.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle A has angles 30° and 60°, what are the angles of a similar triangle?

Back

The angles of a similar triangle will also be 30° and 60°.

Tags

CCSS.HSG.SRT.A.2

Front

What does it mean if two triangles are not similar?

Back

It means that their corresponding angles are not equal or their corresponding sides are not in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If triangle A has sides 3, 4, and 5, what are the sides of a similar triangle with a scale factor of 2?

Back

The sides of the similar triangle would be 6, 8, and 10.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between corresponding sides of similar triangles?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

How can you determine if two triangles are similar using their side lengths?

Back

Calculate the ratios of the lengths of corresponding sides. If the ratios are equal, the triangles are similar.

Tags

CCSS.HSG.SRT.A.2