Understanding Angles and 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). It is measured in degrees.

Front

What is a triangle?

Back

A triangle is a polygon with three edges and three vertices. The sum of the interior angles of a triangle is always 180 degrees.

Front

What are the types of angles based on their measures?

Back

1. Acute angle: less than 90 degrees 2. Right angle: exactly 90 degrees 3. Obtuse angle: more than 90 degrees but less than 180 degrees 4. Straight angle: exactly 180 degrees

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height

Front

What is the relationship between corresponding angles?

Back

Corresponding angles are equal when two parallel lines are crossed by a transversal.

Front

What are alternate interior angles?

Back

Alternate interior angles are equal when two parallel lines are crossed by a transversal.

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2πr, where r is the radius of the circle.

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius of the circle.

Front

How do you find the length of an arc in a circle?

Back

Arc length = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².