Geo - Triangle Proofs

Front

What is the Reflexive Property in geometry?

Back

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence that states 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.

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence 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.

Front

What are rigid motions in geometry?

Back

Rigid motions are transformations that preserve distance and angle measures, including translations, rotations, and reflections.

Front

What is the significance of congruence statements?

Back

Congruence statements indicate that two geometric figures are congruent, meaning they have the same shape and size, allowing for the comparison of corresponding parts.

Front

How do you determine if two triangles are congruent?

Back

To determine if two triangles are congruent, you can use congruence criteria such as SAS, ASA, SSS, or AAS.

Front

What is the Midpoint Theorem?

Back

The Midpoint Theorem states that the segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

Front

What is the definition of congruent triangles?

Back

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