Tiangle Congrueence Review

Front

What does AAS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS postulate?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS postulate?

Back

SSS stands for Side-Side-Side, which states that if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the HL postulate?

Back

HL stands for Hypotenuse-Leg, which is a specific case for right triangles. It states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS postulate used for?

Back

The AAS postulate is used to prove that two triangles are congruent when two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

The triangles are similar, but not necessarily congruent unless the sides are also proportional.

Tags

CCSS.HSG.CO.B.7

Front

What is the significance of the AAA condition in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which indicates that if all three angles of one triangle are congruent to all three angles of another triangle, the triangles are similar but not necessarily congruent.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove two triangles are not congruent?

Back

If the corresponding sides or angles do not satisfy any of the congruence postulates (SSS, SAS, AAS, ASA, HL), then the triangles are not congruent.

Tags

CCSS.8.G.A.2

Front

What is the measure of an angle in a triangle if the other two angles are 60° and 80°?

Back

The measure of the third angle is 40°, since the sum of angles in a triangle is always 180°.

Tags

CCSS.8.G.A.5