Lessons

1. Basics
2. Deductive Reasoning
3 - Parallel lines
4 - Congruent Triangles
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

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