Triangle Similarity and Congruence

Front

What is Triangle Similarity?

Back

Triangle similarity occurs when two triangles have the same shape but not necessarily the same size. This means 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 Triangle Congruence?

Back

Triangle congruence means that two triangles are identical in shape and size. This implies that all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the AA Criterion for Similarity?

Back

The AA (Angle-Angle) Criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS Criterion for Congruence?

Back

The SSS (Side-Side-Side) Criterion states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS Criterion for Congruence?

Back

The SAS (Side-Angle-Side) Criterion states that if two sides of one triangle are equal to two sides of another triangle and the included angle is equal, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

How do you find a missing side in similar triangles?

Back

To find a missing side in similar triangles, set up a proportion using the lengths of the corresponding sides of the triangles.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between corresponding sides in similar triangles?

Back

In similar triangles, the lengths of corresponding sides are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

If two triangles are similar, what can be said about their areas?

Back

The areas of two similar triangles are in the ratio of the square of the lengths of their corresponding sides.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1