Solving Congruent Triangles

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does the ASA postulate stand for?

Back

Angle-Side-Angle postulate states that 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 the SSS postulate stand for?

Back

Side-Side-Side postulate states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does the SAS postulate stand for?

Back

Side-Angle-Side postulate states that 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 the AAS postulate stand for?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

If two sides of a triangle are congruent, what can be said about the angles opposite those sides?

Back

The angles opposite those sides are also congruent.

Tags

CCSS.HSG.CO.C.10

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

By measuring all three sides of both triangles and confirming that they are equal.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are congruent using the ASA postulate?

Back

By measuring two angles and the included side of one triangle and confirming they are equal to the corresponding parts of the other triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between the angles in an isosceles triangle?

Back

In an isosceles triangle, the angles opposite the congruent sides are equal.

Tags

CCSS.HSG.CO.C.10

Front

What is the definition of corresponding parts of congruent triangles?

Back

The sides and angles of one triangle that match up with the sides and angles of another triangle when the triangles are congruent.

Tags

CCSS.8.G.A.2