Geometry Ch.4 Review

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence.

Front

How do you classify a triangle with one angle measuring more than 90 degrees?

Back

It is classified as an obtuse triangle.

Front

What is the significance of the statement ∡AED≅∡BEC in a proof?

Back

It indicates that angles AED and BEC are congruent, which is often used to establish triangle congruence.

Front

What does it mean if triangles cannot be proven congruent?

Back

It means there is insufficient information or criteria to establish that the triangles are the same shape and size.

Front

What is the exterior angle theorem?

Back

The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

What are the three main criteria for triangle congruence?

Back

The three main criteria are SSS (Side-Side-Side), SAS (Side-Angle-Side), and ASA (Angle-Side-Angle).

Front

What is the definition of a triangle?

Back

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

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

Two triangles are congruent if all three sides of one triangle are equal to the three sides of the other triangle.

Front

What is the difference between acute, right, and obtuse triangles?

Back

Acute triangles have all angles less than 90 degrees, right triangles have one angle equal to 90 degrees, and obtuse triangles have one angle greater than 90 degrees.

Front

What is the importance of proving triangles congruent in geometry?

Back

Proving triangles congruent allows us to establish that two triangles are identical in shape and size, which is fundamental in solving many geometric problems.