# Squares and Rhombi: Finding Segments and Angles.

### This is an engaging lesson that will present a review for the properties of these two parallelograms, and then it will give you several examples; that go from very simple ones, up to one that involves solving a quadratic equation to find the angles in the rhombus. This lesson, while challenging is enjoyable!

Lesson's Content

 Lesson In PDF Format (no animations)

Lesson's Glossary

Angle
Geometry shape formed by two rays (initial and ending sides of the angle) that share a common endpoint called the vertex. You may name an angle using the vertex, or a point in each ray and the vertex label in the center.

Parallelogram
Any quadrilateral with two pairs of opposite sides parallel.

Polygon
It is a closed plane figure with a least three straight segments as sides.

A four-sided polygon.

Rectangle
Any parallelogram that has 4 right angles.

Rhombus
Any parallelogram with 4 congruent sides.

Segment
Line segment; A section of a line, defined by two end points and all the points between them.

Square
Parallelogram with four congruent sides and four congruent angles.

Interactive Geometric Applets: Relevant Theorems.

In a rhombus you have that you find all the properties for a parallelogram. It has opposite

sides congruent, and parallel. It has diagonals that bisect each other. It also has properties

that make it unique. It has diagonals that are perpendicular, and are angle bisectors.

These properties may be checked in this interactive geometric applet. Just follow the

directions, and have fun.

A square is a parallelogram that shares properties with the rhombus and the rectangle.

You have that all squares are a special rhombus, and a special rectangle; but not all

rhombi, and rectangles are squares. Try this interactive geometric applet, to verify by