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 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.A.2

Front

What is the SAS similarity postulate?

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 postulate?

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

How can you determine if two triangles are similar using the AA postulate?

Back

Check if two angles of one triangle are equal to two angles of the other triangle.

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, and their corresponding sides are not in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Provide an example of using the AA postulate to prove similarity.

Back

If Triangle ABC has angles of 30°, 60°, and 90°, and Triangle DEF has angles of 30°, 60°, and 90°, then Triangle ABC ~ Triangle DEF by AA.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side Splitter Theorem?

Back

If a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Tags

CCSS.HSG.SRT.B.4

Front

How do you apply the SAS postulate in a problem?

Back

Verify that two sides of one triangle are proportional to two sides of another triangle and that the angle between those sides is equal.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between the sides of similar triangles?

Back

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

Tags

CCSS.HSG.SRT.A.2