Unit 3 Geometry Gallery Properties of Special Quadrilaterals (Rectangle, Rhombus, Square)

1
Unit 3 Geometry GalleryProperties of Special
Quadrilaterals(Rectangle, Rhombus, Square)

• Sections 5.10, 5.12
• Standards MM1G3d
• Understand, use, and prove properties of and
  relationships among special quadrilaterals
  parallelogram, rectangle, rhombus, square,
  trapezoid, and kite.

2
Rectangle

• A parallelogram with 4 Right Angles.
• Properties
• All the properties of a parallelogram.
• Diagonals are Congruent.
• Equiangular.

3
Rhombus

• A parallelogram with 4 Congruent Sides.
• Properties
• All the properties of a parallelogram.
• Diagonals are Perpendicular.
• Diagonals Bisect the pairs of opposite angles.
• Equilateral.

4
Square

• A Rectangle with 4 Congruent Sides
• A Rhombus with 4 Right Angles.
• Properties
• All the properties of a Rectangle.
• All the properties of a Rhombus.

5
(Ex 1) Properties of Quadrilaterals

• Sometimes, Always, Never????
• 1. A rectangle is ________a square.
• 2. A square is ________a rhombus.
• 3. A rhombus is ________a rectangle.
• 4. A parallelogram is ________a rectangle.

6

• (Ex 2) Remember Parallelograms Solve for
  x and y in the following parallelograms.
• A)
• B)

X ______ Y ______
2x 1
7
2y - 3
21
X ______ Y ______
42º
2xº
7yº
7

• (Ex 3) EFGH is a rectangle. K is the midpoint of
  FH. IF EG 28, what is EK? GK? FH?
• EK_____ GK_____ FH_____

E
F
K
H
G
8

• (Ex 4)The mltB 8x26. Find the value of x.
• Checkpoint AC 6z 24, BD 8z 12. Find z.
  Find the length of AC and BD.
• z_____ AC_____ BD_____

A
B
D
C
9

• (Ex 5) PQRS is a rhombus. Find the values of the
  variables.
• x
• y
• z

P
Q
120º
2y 3
xº
3zº
S
R
5y - 6
10

• (Ex 6) JKLM is a rhombus. Find the indicated
  measure.
• a) JL _____
• b) MT _____
• c) mltJTK _____
• d) x _____

K
J
65º
2n
T
12-n
20
2xº
L
M
11

• (Ex 7) TUVW is a Square. Find the indicated
  measure.
• a) p _____
• b) TU ____
• c) UW _____

4(p3)
T
U
W
V
24
12
Assignment

• p. 319 7-19 (all), 21, 23, 25-27