Geometry Chapter 6 Review

Front

What is the sum of the interior angles of a polygon with n sides?

Back

The sum of the interior angles of a polygon with n sides is (n-2) × 180°.

Front

What is the sum of the exterior angles of any polygon?

Back

The sum of the exterior angles of any polygon is always 360°.

Front

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

Back

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

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Front

What conditions must be met for a quadrilateral to be a parallelogram?

Back

A quadrilateral is a parallelogram if either: 1) both pairs of opposite sides are equal, or 2) both pairs of opposite angles are equal, or 3) the diagonals bisect each other.

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid is given by the formula: Area = (1/2) × (Base1 + Base2) × Height.

Front

How do you calculate the number of sides in a polygon given the sum of its interior angles?

Back

To find the number of sides (n) in a polygon given the sum of its interior angles (S), use the formula: n = (S/180) + 2.

Front

What is the relationship between the slopes of opposite sides in a parallelogram?

Back

In a parallelogram, the slopes of opposite sides must be equal.

Front

What is the measure of each interior angle of a regular polygon with 8 sides?

Back

Each interior angle of a regular octagon (8 sides) is 135°.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90°.