Congruence

Front

What is Congruence in Geometry?

Back

Congruence in geometry means that two figures have the same shape and size. If two figures are congruent, one can be transformed into the other through rotations, translations, or reflections.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side. It is a criterion for triangle congruence that states 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.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side. It is a criterion for triangle congruence 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.

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle. It is NOT a valid criterion for triangle congruence because it can lead to ambiguous cases where two different triangles can be formed.

Front

If L is the midpoint of TJ, what can be concluded?

Back

If L is the midpoint of TJ, then TL = LJ.

Front

What is the definition of Vertical Angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What is the definition of Alternate Interior Angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside the two lines. If the lines are parallel, these angles are congruent.

Front

What is the definition of Corresponding Angles?

Back

Corresponding angles are pairs of angles that are in the same position on two parallel lines in relation to a transversal. If the lines are parallel, these angles are congruent.

Front

What is the definition of a Midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.