November 11, 2015
WHAT AM I???
(Hint...not ALL are squares)
IDENTIFY THE QUAD BASED ON THE MARKINGS
A)
B)
C)
D)
E)
F)
G)
H)
HW 5.4 QUESTIONS? - p238 #6, 8, 11, 13-16
#6
#6) Picture
#8
#8) A, S, S, A, A, N, N
#11
#13
#14) Proof to Follow
#14
#16) a) x = 5, y = 7
#15
b) 34
c) No, AC must be
#16
less than AB + BC
November 11, 2015
November 11, 2015
PROPERTIES CAN DEAL WITH:
1) Sides (pairs of opposite and consecutive
sides) - PARALLEL or CONGRUENT
2) Angles (pairs opposite and consecutive
angles) - CONGRUENT or SUPP.
3) Diagonals - BISECTING (angles or each
other) or PERPENDICULAR)
For Example:
PARALLELOGRAM PROPERTIES (5 props)
November 11, 2015
QUAD SQUAD - Meet & Greet
Let's discover the properies in groups:
1) RECTANGLE
2) RHOMBUS
3) ISOSCELES TRAPEZOID
4) KITE
QUADRILATERAL PROPERTIES
TRAPEZOID PROPERTIES
November 11, 2015
Quadrilateral & Trapezoid Problem
Solve for the value of x and y.
xo
(2y)o
145o
35o
xo
50o
ISOSCELES TRAPEZIOD PROPERTIES
1)
2)
3)
4)
5)
November 11, 2015
Isosceles Trapezoid Problem
If TRAP is an isosceles trapezoid with bases TR and PA,
m<TPA = 70
m<RAZ = 5x - 8
T
R
m<ZAP = 2x + 1
PR = x + 2
find the length of TA.
P
PARALLELOGRAM PROPERTIES
1)
2)
3)
4)
5)
A
November 11, 2015
Parallelogram Problem
If QUAD is a parallelogram and m<QUD = w + x + y + z,
find m<ADU.
Q
U
w
y
5
10
6
A
8
RECTANGLE PROPERTIES
1)
5)
2)
6)
3)
7)
4)
8)
z
x
D
November 11, 2015
Rectangle Problem
If RECT is a rectangle with perimeter of 30 and the length of RT is
twice that of RE, find the values of x and y.
x
R
(2x + y)
E
o
T
C
RHOMBUS PROPERTIES
RHOMBUS PROPERTIES
1)
6)
2)
7)
3)
8)
4)
9)
5)
10)
November 11, 2015
Rhombus Problem
o
HARD is a rhombus with perimeter 52 and m<HAR = 60 .
Find HY and m<YDR.
H
A
Y
R
D
SQUARE PROPERTIES
1)
6)
2)
7)
3)
8)
4)
9)
5)
10)
November 11, 2015
Square Problem
If SQUA is a square, find the value of z.
A
Q
2yo
x
x+y
S
KITE PROERTIES
1)
2)
3)
4)
5)
z
R
November 11, 2015
Kite Problem
If KITE is a kite, m<1 = 6x, and m<2 = x + 20,
find m<IKE, y, and z.
K
x
2
y
1
I
z
E
x+y
T
*START (Finish after tomorrow!):
HW 5.5A: p245: #5-14
November 11, 2015
HW 5.5A QUESTIONS?: p244: #5-14
#6) 134; 46
#8) Proof in class
#10) Proof in class
#12) about 373.2
#14) Proof in class
#5)
#6)
#7)
#8)
#9)
#10)
#11)
#12)
#13)
#14)
November 11, 2015
Isosceles Trapezoid Problem
If TRAP is an isosceles trapezoid with bases TR and PA,
m<TPA = 70
m<RAZ = 5x - 8
T
R
m<ZAP = 2x + 1
PR = x + 2
find the length of TA.
P
A
November 11, 2015
Parallelogram Problem
If QUAD is a parallelogram and m<QUD = w + x + y + z,
find m<ADU.
Q
U
w
y
5
10
6
A
z
x
D
8
Rectangle Problem
If RECT is a rectangle with perimeter of 30 and the length of RT is
twice that of RE, find the values of x and y.
x
R
E
(2x + y)o
T
C
November 11, 2015
Rhombus Problem
o
HARD is a rhombus with perimeter 52 and m<HAR = 60 .
Find HY and m<YDR.
H
A
Y
R
D
Square Problem
If SQUA is a square, find the value of z.
A
Q
2y
o
x
x+y
S
z
R
November 11, 2015
Kite Problem
If KITE is a kite, m<1 = 6x, and m<2 = x + 20,
find m<IKE, y, and z.
K
x
2
y
1
I
z
E
x+y
T
QUAD. FAMILY TREE
November 11, 2015
SPEED DATING: WHAT AM I?
1) Draw a "square" on your notecard. Then,
mark up the diagram in any way to specifically
identify your quadrilateral - write the answer
on the other side of the notecard.
You can mark up:
-Parallel or Congruent Sides
-Angles Congruent or Supplementary
-Diagonal(s) Bisect Each other or
Perpendicular or Bisect the angles
For Example:
November 11, 2015
2) Let's move the desks into two rows facing
each other. Sit across a person with your
card. Show them the diagram and then have
your partner guess the quadrilateral.
3) Once you are done on your "date" (30
sec), switch cards, then move one seat to
your right. Rinse and repeat.
I HIGHLY RECOMMEND MEMORIZING
THESE PROPORTIES CAREFULLY (Make
note cards or some sort or graphic
organizer)
HW 5.5B: p246: #15-17, 19-21, 23, 28