Geometry
Name_________________________
Unit 8 Day 3 Warm Up
1. Give four ways to prove that a quadrilateral is a parallelogram.
2. Find x in the parallelogram.
3. Find the value of  E,  G, and  H.
H
G
5x - 32
2x + 10
62
E
F
Today we will understand the properties of Rhombuses, Rectangles and Squares
And
By the end of class, you will be able to find lengths and angles in rhombuses, rectangles and squares
as well as determine if a quadrilateral is a rectangle, rhombus or square.
Notes
Rhombuses, Rectangles, and Squares
rhombus –
rectangle –
square –
Examples
1. For any rhombus QRST, decide whether the statement is always or sometimes true.
a. Q  S
b. Q  R
2. Classify the special quadrilateral. Explain your reasoning.
70
A parallelogram is a rhombus if and only if…
(properties of a rhombus)
- its diagonals are perpendicular
- each diagonal bisects a pair of opposite angles
Geometry
Unit 8 day 3 continued
Name_________________________
A parallelogram is a rectangle if and only if…
(properties of a rectangle)
- its diagonals are congruent
More examples
Classify the special quadrilateral. Then find the values of x and y.
3.
4.
K
B
y+ 8
4y + 5
L
3y
104
x + 31
A
x
5x - 9
C
J
M
2y + 35
D
5.
Q
R
6.
E
(5x - 6)
5x
y+ 3
10
2y
P
F
2y + 1
(4x + 7)
S
(3x + 18)
H
G