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 AA criterion for triangle similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar (AA ~).

Tags

CCSS.HSG.SRT.A.2

Front

What is the SSS criterion for triangle similarity?

Back

If the lengths of the corresponding sides of two triangles are in proportion, the triangles are similar (SSS ~).

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS criterion for triangle similarity?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

How do you find the missing angle in similar triangles?

Back

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

Back

The lengths of the corresponding sides of triangle ABC and triangle DEF are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

What is a dilation in geometry?

Back

A transformation that alters the size of a figure but not its shape, defined by a scale factor.

Tags

CCSS.8.G.A.3

Front

How do you perform a dilation on a point?

Back

Multiply the coordinates of the point by the scale factor.

Tags

CCSS.8.G.A.3

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

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