Angles, Angle Relationships, Triangles

Front

What is an angle?

Back

An angle is formed by two rays (sides of the angle) that share a common endpoint (the vertex).

Front

What are the different types of angles based on their measures?

Back

The different types of angles are: acute (less than 90°), right (exactly 90°), obtuse (greater than 90° but less than 180°), straight (exactly 180°), and reflex (greater than 180°).

Front

What is the sum of the angles in a triangle?

Back

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

Front

What is a complementary angle?

Back

Two angles are complementary if the sum of their measures is 90 degrees.

Front

What is a supplementary angle?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Front

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

Back

To find the measure of a missing angle in a triangle, subtract the sum of the known angles from 180 degrees.

Front

What is the relationship between angles formed by parallel lines and a transversal?

Back

When a transversal intersects two parallel lines, several angle relationships are formed, including corresponding angles (equal), alternate interior angles (equal), and consecutive interior angles (supplementary).

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, which also means the angles opposite those sides are equal.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring exactly 90 degrees.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).