Congruent Triangle Proofs

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, segment AB is congruent to segment AB.

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 a Segment Bisector?

Back

A segment bisector is a point, line, or plane that divides a segment into two equal parts.

Front

What does it mean for angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the definition of congruent triangles?

Back

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

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 is the purpose of a proof in geometry?

Back

A proof is a logical argument that uses definitions, properties, and previously proven statements to show that a conclusion is true.

Front

What is the significance of the Corresponding Parts of Congruent Triangles (CPCTC)?

Back

CPCTC states that if two triangles are proven to be congruent, then all their corresponding parts (sides and angles) are also congruent.

Front

What is the definition of a transversal?

Back

A transversal is a line that intersects two or more lines at different points.