Congruent Triangle Proofs

Front

What is the Reflexive Property?

Back

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

Front

What is a Segment Bisector?

Back

A Segment Bisector is a line, ray, or segment that divides another segment into two equal parts.

Front

What does the Definition of Midpoint state?

Back

The Definition of Midpoint states that a midpoint of a segment is the point that divides the segment into two equal lengths.

Front

What are Vertical Angles?

Back

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

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 congruent.

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

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What is the significance of the Corresponding Parts of Congruent Triangles?

Back

The Corresponding Parts of Congruent Triangles (CPCTC) states that if two triangles are proven to be congruent, then all their corresponding sides and angles are also congruent.

Front

What is the SSS Congruence Postulate?

Back

The SSS (Side-Side-Side) Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.