Squares and Rhombi: Finding Segments and Angles.

Did you know that squares, and rhombi are the only parallelograms with perpendicular diagonals? What makes different a square from a rhombus, if both have all sides congruent?

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!

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.

Quadrilateral
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.
 

PURCHASE INFORMATION

Algebra, Geometry, and Basic Math Lessons, and Lesson Plans

In a rhombus, consecutive angles are supplementary. Review this concept here.

Drag point "C" within the shaded area to verify that you have

supplementary angles. Check the sum below the figure.

 

Algebra, Geometry, and Basic Math Lessons, and Lesson Plans

When working with parallelograms, many times you have to understand

that alternate interior angles are congruent, and that consecutive interior angles

are supplementary.

You may drag point "B" in the below applet to verify these angle relationships.

 

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