Triangle Proofs

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Front

What are the types of triangles based on side lengths?

Back

Equilateral, Isosceles, and Scalene.

Front

What are the types of triangles based on angles?

Back

Acute, Right, and Obtuse.

Front

What does it mean for triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the significance of the 'Given' statement in a proof?

Back

The 'Given' statement provides the initial information or conditions that are accepted as true for the proof.

Front

What does CPCTC stand for and why is it important?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, and it is used to prove that corresponding sides and angles of congruent triangles are equal.

Front

What is the purpose of a proof in geometry?

Back

A proof is a logical argument that demonstrates the truth of a geometric statement using definitions, postulates, and previously proven theorems.

Front

What is the Alternate Interior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is equal.

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that do not intersect or touch each other at any point.

Front

What is the definition of a transversal?

Back

A transversal is a line that crosses at least two other lines in the same plane.