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 proportional.

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.

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 proportional, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS criterion for triangle similarity?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean for sides in similar figures to be proportional?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Are all angles in similar triangles congruent?

Back

Yes, all corresponding angles in similar triangles are congruent.

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 sides AB, BC, and AC are proportional to the lengths of sides DE, EF, and DF respectively.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the missing angle in a triangle if two angles are known?

Back

Subtract the sum of the known angles from 180 degrees.

Tags

CCSS.8.G.A.5

Front

What is a scale factor in the context of similar triangles?

Back

The ratio of the lengths of corresponding sides of two similar triangles.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If triangle XYZ is dilated by a scale factor of 2, what happens to its area?

Back

The area of triangle XYZ increases by a factor of 4 (2 squared) when the scale factor is 2.

Tags

CCSS.7.G.A.1