Solving Congruent Triangles

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states 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 definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the significance of vertical angles in triangle congruence?

Back

Vertical angles are always congruent, which can help establish congruence in triangles when they are formed by intersecting lines.

Tags

CCSS.HSG.CO.C.9

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

If two triangles have two pairs of equal angles, they are congruent by the Angle-Angle (AA) criterion.

Tags

CCSS.8.G.A.2

Front

What is the Angle-Angle (AA) criterion?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar, but not necessarily congruent.

Tags

CCSS.HSG.SRT.A.2

Front

How can you prove that two triangles are congruent using the SAS postulate?

Back

To prove triangles are congruent using SAS, show that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are equal, meaning if triangles are congruent, all their corresponding sides and angles are also congruent.

Tags

CCSS.8.G.A.2

Front

What is the definition of an included angle in a triangle?

Back

The included angle in a triangle is the angle formed between two sides of the triangle.