Lessons

1. Basics
 2. Deductive Reasoning
3 - Parallel lines
4 - Congruent Triangles
5 - Quadrilaterals
6 - Inequalities
7 - Similar Polygon
8 - Rt. Triangles
9 - Circles
10 - Constructions
11 - Areas of 2D objects
12 - Areas and Volumes
13 - Coordinates

 

Special Parallelograms

 

Objective:

            • Learning the special properties of a rectangle, a rhombus , and a square.

Lesson 5-3 Special Parallelograms:

               Rectangle: a quadrilateral with four right angles.

                Rhombus: A quadrilateral with four congruent sides.

                 Square: A quadrilateral with four right angles and four congruent sides.

Note: Every rectangle rhombus and square is a parallelogram and every square is also a rectangle and a rhombus.

 

Theorem 5-12

The diagonals of a rectangle are congruent

Segment AC and Segment BD are congruent by theorem 5-12

 

Theorem 5-13

The diagonals of a rhombus are perpendicular

Theorem 5-14

Each diagonal of a rhombus bisects two angles of the rhombus

 

Theorem 5-15

The midpoint of the hypotenuse of a right triangle is equidistant from the three vertices

Segment AD, DB, and DC are all equidistant by theorem 5-15

 

Theorem 5-16

If an angle of a parallelogram is a right angle, then the parallelogram is a rectangle.

 

Theorem 5-17

If two consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus

 

 

Quickie Math Copyright (c) 2000 Team C006354