Review Ch 4: Triangles & Congruence

Front

What is a triangle?

Back

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

Front

What are the types of triangles based on their angles?

Back

1. Acute Triangle: All angles are less than 90 degrees. 2. Right Triangle: One angle is exactly 90 degrees. 3. Obtuse Triangle: One angle is greater than 90 degrees.

Front

What are the types of triangles based on their sides?

Back

1. Equilateral Triangle: All three sides are equal. 2. Isosceles Triangle: Two sides are equal. 3. Scalene Triangle: All sides are different.

Front

What is the Triangle Sum Theorem?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

How do you find the measure of an unknown angle in a triangle?

Back

Subtract the sum of the known angles from 180 degrees.

Front

What does it mean for two 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 are the criteria for triangle congruence?

Back

1. Side-Side-Side (SSS) 2. Side-Angle-Side (SAS) 3. Angle-Side-Angle (ASA) 4. Angle-Angle-Side (AAS) 5. Hypotenuse-Leg (HL) for right triangles.

Front

What is the difference between similar and congruent triangles?

Back

Similar triangles have the same shape but not necessarily the same size (corresponding angles are equal, and sides are proportional). Congruent triangles are identical in size and shape.

Front

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

Back

If all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

Front

What is the definition of an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.