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 similarity theorem?

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 SAS 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

What is the SSS similarity theorem?

Back

If the three sides of one triangle are in proportion to the three sides of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What are corresponding angles?

Back

Angles that are in the same position in different triangles when the triangles are positioned similarly.

Tags

CCSS.8.G.A.5

Front

What are alternate interior angles?

Back

Angles that lie between two parallel lines and on opposite sides of a transversal.

Tags

CCSS.8.G.A.5

Front

What are vertical angles?

Back

Angles that are opposite each other when two lines intersect. They are always equal.

Tags

CCSS.7.G.B.5

Front

How can you use similar triangles to find the height of an object?

Back

By creating a proportion between the height of the object and the distance from the object, using a reference point and a line of sight.

Tags

CCSS.HSG.SRT.B.5

Front

What is a transversal?

Back

A line that intersects two or more lines at different points.

Tags

CCSS.8.G.A.5

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2