Student Tutorial: Geometry Basics: Quadrilaterals with Parallel Sides

Instructions:

Learn about quadrilaterals with 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

Parallelogram. A quadrilateral whose opposite sides are congruent and parallel. Opposite angles are congruent. Adjacent angles are supplementary.

Rhombus. A parallelogram with all four sides congruent.

Rectangle. A parallelogram with four 90° interior angles.

Square. A parallelogram with four congruent sides and four interior 90° angles.

Quadrilaterals with Parallel Sides Title Card

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

When opposite sides of a quadrilateral are parallel, the quadrilateral is a parallelogram.

Each pair of opposite sides is part of a set of parallel lines.

Because parallel lines are the same distance apart, the opposite sides of a parallelogram are congruent.

The opposite sides of a parallelogram are transverals to the other pair of parallel lines.

This means that opposite angles are congruent and adjacent angles are supplementary.

When all four sides of a parallelogram are congruent, it is a rhombus.

When the angles of a parallelogram are right angles, the quadrilateral is a rectangle.

When a rectangle has congruent sides, it is a square.

When a quadrilateral has only one pair of parallel sides, it is a trapezoid.

Quadrilaterals with Parallel Sides