This document discusses properties of rhombi and squares. A rhombus is a quadrilateral with four congruent sides. A square is a rhombus and rectangle, with four equal sides and four right angles. Examples are provided to demonstrate determining whether shapes are rhombi, rectangles or squares based on given properties or vertex points. The homework assignments ask students to identify properties and classify shapes using given information.

1. SECTION 8.5 Rhombi &
Squares

2. RHOMBI AND SQUARES
 What are the properties of a rhombus, and how do I apply
them?
 What are the properties of squares, and how do I apply them?
Rhombi is plural of rhombus

3. RHOMBUS
 Rhombus: A quadrilateral with all four sides congruent.
 How does this compare to a parallelogram?

4. PROPERTIES


5. SQUARE
 Square – A quadrilateral that is a rhombus and rectangle.

6. PROPERTIES OF A SQUARE


7. EXAMPLE

N

8. EXAMPLE
 In rhombus LMNP, MN = 2x + 3 and NP = 5x.
 Find x and MN.
N

9. EXAMPLE

N

10. EXAMPLE

E

11. EXAMPLE
 Determine whether parallelogram EFGH is a rhombus, a
rectangle or a square for E(0, -2), F(-3, 0), G(-1 , 3) and H(2, 1).
List all that apply. Explain.

12. HOMEWORK
 Page 434
 12 – 19
 20 – 30 (Even)
 Skip 24!
Hint on #12 – a quadrilateral has 360 °, so add up the four
angles