April 16, 2015
Do NOW please:
Get problem out of the front basket and complete!
April 16, 2015
Name:____________________
A rectangle has a perimeter of 320m and an area of 4800m2.
Determine the dimensions of the rectangle and find the length of a
diagonal of the rectangle (round to nearest tenth). (Show all work)
dimensions: ____________
length of diagonal: _______
April 16, 2015
dimensions: 40m x 120m
diag. length: 126.5m
April 16, 2015
(6.5) Rhombi and Squares
Objective: To recognize and apply properties of rhombi and squares.
To determine whether quads are rectangles, rhombi, or
squares.
Why: This continues our ability to classify all kinds of quadrilaterals.
April 16, 2015
Obj: To recognize and apply properties of rhombi and squares.
To determine whether quads are rectangles, rhombi, or squares.
Defn.
Rhombus: a quadrilateral with 4 congruent sides.
other characteristics:
*diags
*diags bis. opp.
s
April 16, 2015
Obj: To recognize and apply properties of rhombi and squares.
To determine whether quads are rectangles, rhombi, or squares.
TVWX is a rhombus. Find each measure.
T
3y + 4
V
5n - 5
o
13y - 9
14n + 20 o
X
W
April 16, 2015
Obj: To recognize and apply properties of rhombi and squares.
To determine whether quads are rectangles, rhombi, or squares.
Defn:
Square: a quadrilateral with 4
= sides and 4 right angles.
Other characteristics:
*all properties of rectangles and rhombi.
April 16, 2015
Obj: To recognize and apply properties of rhombi and squares.
To determine whether quads are rectangles, rhombi, or squares.
parallelograms
rectangles
squares
rhombi
April 16, 2015
Obj: To recognize and apply properties of rhombi and squares.
To determine whether quads are rectangles, rhombi, or squares.
Ways to Prove a Quad. is a Rhombus:
1. If quad. with 4 = sides.
2. If
with one pair cons. sides = .
3. If
with diags.
4. If
with one diag. bis. opp.
.
s.
Ways to Prove a Quad. is a Square:
1. If quad. is both a rectangle and a rhombus.
April 16, 2015
Obj: To recognize and apply properties of rhombi and squares.
To determine whether quads are rectangles, rhombi, or squares.
What quad.?
1.
2.
3.
4.
5.
6.
April 16, 2015
Obj: To recognize and apply properties of rhombi and squares.
To determine whether quads are rectangles, rhombi, or squares.
Determine what type of quadrilateral has vertices A(-2,-1),
B(-1,3), C(3,2), and D(2,-2).
April 16, 2015
Obj: To recognize and apply properties of rhombi and squares.
To determine whether quads are rectangles, rhombi, or squares.
Given: RSTU is a
SU RT
Prove:
STR =
S
R
UTR
U
T
April 16, 2015
Obj: To recognize and apply properties of rhombi and squares.
To determine whether quads are rectangles, rhombi, or squares.
4. Show that the diagonals of square EFGH are congruent
perpendicular bisectors of each other.
E(-4,-1), F(-1,3), G(3,0), H(0,-4)
April 16, 2015
Obj: To recognize and apply properties of rhombi and squares.
HF:
To determine whether quads are rectangles, rhombi, or squares.
(HR) Pg.435: 11, 13, 15, 19, 23 - 33, 41, 46, 48