Properties of Rhombus, Rectangles, and Squares

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					Properties of Rhombus,
Rectangles, and Squares
  Chapter 6 Section 4
Objective

    Students will…
      Define and classify special types of
       parallelograms
      Use properties of diagonals of rhombuses
       and rectangles
Special Parallelograms

    Special parallelograms have certain
     properties and so does their diagonals.

    Remember: A parallelogram is a
     quadrilateral with opposite sides parallel.
Rhombus

    A parallelogram with four congruent
     sides.
        Think: A square tipped over
Rectangle

    A parallelogram with four right angles.
Square

    A parallelogram with four congruent
     sides and four right angles.
Theorem 6-13

    If a parallelogram is a rhombus, then its
     diagonals are perpendicular.

        Diagonals intersect at a right angle.
Theorem 6-14

    If a parallelogram is a rhombus, then
     each diagonal bisects a pair of opposite
     angles
Turn to page 377….

    Look at Example 2

    Try the “Got It” problem at the bottom.
Theorem 6-15

    If a parallelogram is a rectangle, then its
     diagonals are congruent.
On page 378…

    Look at Problem 3

    Try the “Got It” problem at the bottom.
Create a Venn Diagram

    With a partner…
        Create a Venn Diagram as a graphic
         organizer for special right triangles.
On page 379…

    Try problems #1-6 on your own.
Beginning on page 379…

    Complete problems #7-40 in your work
     groups.
Reflection

 1.   What are the three categories of
      special parallelograms?
 2.   What are the properties of the
      diagonals of a rectangle? A rhombus?
 3.   How might the properties you learned
      today help you to solve problems
      involving parallelograms?

				
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posted:11/4/2012
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