Ch5 FLASHCARD: Congruent Triangles

Front

What is the definition of congruent triangles?

Back

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

Front

What does the Reflexive Property state?

Back

Front

What are Alternate Interior Angles?

Back

Angles that are on opposite sides of a transversal and inside the two lines it intersects. They are congruent when the lines are parallel.

Front

What is the definition of a midpoint?

Back

A point that divides a segment into two equal parts.

Front

What is the HL (Hypotenuse-Leg) theorem?

Back

A method to prove the congruence of two right triangles if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

What is the SAS (Side-Angle-Side) theorem?

Back

A method to prove triangle congruence if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What is the AAS (Angle-Angle-Side) theorem?

Back

A method to prove triangle congruence 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.

Front

What is the SSA (Side-Side-Angle) condition?

Back

This condition does not guarantee triangle congruence; it can lead to ambiguous cases.

Front

How do you denote congruent triangles?

Back

Front

What is the Vertical Angles Theorem?

Back

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