Topic 4: Triangle Congruence II

Front

What are Vertical Angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, triangle ABC is congruent to triangle ABC.

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 equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What is the Congruence Statement PRC?

Back

The congruence statement PRC indicates that triangle P is congruent to triangle R and triangle C.

Front

What are 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 equal.

Front

What is the Transitive Property in geometry?

Back

The Transitive Property states that if one figure is congruent to a second figure, and the second figure is congruent to a third figure, then the first figure is congruent to the third figure.

Front

What is the significance of congruence statements?

Back

Congruence statements provide a way to express that two geometric figures are congruent, indicating that they have the same shape and size.

Front

What is the Angle Bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

What additional information is required to prove triangles are congruent by ASA?

Back

To prove triangles are congruent by ASA, you need to know two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is the definition of congruent triangles?

Back

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