Properties of Polygons and Quadrilaterals Review

Front

What is the distance formula used to determine if two points are congruent?

Back

The distance formula is given by: d = √((x2 - x1)² + (y2 - y1)²). If the distances are equal, the sides are congruent.

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 is given by the formula: (n - 2) × 180 degrees.

Front

What is the sum of the interior angles of an octagon?

Back

The sum of the interior angles of an octagon (8 sides) is (8 - 2) × 180 = 1080 degrees.

Front

What theorem can be used to find the length of a side in a right triangle?

Back

The Pythagorean Theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse.

Front

If WZ = 27, what is WY if it forms a right triangle with WZ?

Back

Using the Pythagorean Theorem, if WY is the hypotenuse, then WY = √(27² + h²) where h is the height.

Front

What formula is used to determine if two lines are parallel?

Back

The slope formula is used: if two lines have the same slope, they are parallel.

Front

Define a polygon.

Back

A polygon is a closed figure formed by a finite number of straight line segments connected end to end.

Front

What is a quadrilateral?

Back

A quadrilateral is a polygon with four sides and four angles.

Front

List the types of quadrilaterals.

Back

Types of quadrilaterals include squares, rectangles, rhombuses, parallelograms, trapezoids, and kites.

Front

What is a regular polygon?

Back

A regular polygon is a polygon with all sides and all angles equal.