Student Tutorial: Geometry Basics: Quadrilateral with No Parallel Sides

Instructions:

Learn about quadrilaterals with no parallel sides. For this tutorial you'll be using the Desmos Geometry Tools, which are free: https://www.desmos.com/geometry. Watch the video and follow along using the Desmos tools.

Click the arrows on the bottom to get started

Math Clip Art: Student Tutorial Title Page

Quadrilateral. A four-sided polygon, the sum of whose interior angles is 360°.

Kite. A quadrilateral with two pairs of congruent, adjacent sides.

Quadrilaterals with No Parallel Sides Title Card

A quadrilateral is a closed figure made up of four line segments.

A scalene quadrilateral has four non-congruent sides and non-congruent angles.

With a scalene quadrilateral, no pairs of sides are parallel.

Quadrilaterals with non-parallel sides can have two congruent sides. These are congruent opposite sides.

Quadrilaterals with non-parallel sides can have two congruent sides. These are congruent adjacent sides.

A kite is a quadrilateral with two pairs of congruent adjacent sides.

A kite is basically two isosceles triangles that share a side.

This means that a kite has one pair of congruent opposite angles.

Recall that the altitude of an isosceles triangle is perpendicular to the base.

This means that the diagonals of a kite are perpendicular to each other.

The diagonals of a kite create two pairs of congruent triangles.

Number of Parallel Sides for a Quadrilateral