January 21, 2016
Do NOW Please!
(Get problem in basket)
Name: _______________________
Show all work and justify and determine the most descriptive name
for the quadrilateral with vertices A(-4,-5), B(1,-5) C(-2,-1),
D(-7,-1).
January 21, 2016
Determine the most specific name for the quadrilateral.
1. ________ 2. ________ 3. _______
4. ________
5. ________ 6. ________ 7. _______
8. ________
January 21, 2016
Name: _______________________
Show all work and justify and determine the most descriptive name
for the quadrilateral with vertices A(-4,-5), B(1,-5) C(-2,-1), D(-7,-1).
Slopes:
AB: m = 0
ll
DC: m = 0
AD: m = -4/3
C
D
A
BC: m = -4/3
B
ll
Both prs. opp. sides ll
cons. sides
BC =
3 2 + 42
DC = 5
RHOMBUS
= 5
not rect./squ.
one pr. cons. sides =
January 21, 2016
(6.6) Trapezoids & Kites
Objective: To apply properties of trapezoids.
To apply properties of kites.
Why: Many structures are made using properties of trapezoids
and kites.
January 21, 2016
Obj: To apply properties of trapezoids.
Defn.
To apply properties of kites.
Trapezoid: a quadrilateral with exactly one pair of ll sides.
base
leg
leg
base
Isosceles Trapezoid: Trapezoid with congruent legs.
Properties:
*upper base
s=
*lower base
s =
*diags. =
January 21, 2016
Obj: To apply properties of trapezoids.
To apply properties of kites.
Proof: If isos. trap, then diags. = .
A
Given: ABCD is an isos. trap.
B
Prove: AC = BD
D
Statement
C
Reason
January 21, 2016
Ways to Prove a Trapezoid is Isosceles:
*If trap. with legs = .
*If trap. with diags. = .
*If trap. with one pair base
s = .
Obj: To apply properties of trapezoids.
To apply properties of kites.
January 21, 2016
Obj: To apply properties of trapezoids.
To apply properties of kites.
January 21, 2016
Obj: To apply properties of trapezoids.
To apply properties of kites.
Determine the type of quadrilateral has vertices A(5,1), B(-3,-1),
C(-2,3) and D(2,4).
C
D
A
B
January 21, 2016
Obj: To apply properties of trapezoids.
To apply properties of kites.
Midsegment: segment that connects the midpoints of the legs of
the trapezoid.
midsegment
Theorem:
The Midsegment is half the sum of the bases.
January 21, 2016
January 21, 2016
Obj: To apply properties of trapezoids.
Find x.
To apply properties of kites.
2x+2
13
5x+3
January 21, 2016
Obj: To apply properties of trapezoids.
To apply properties of kites.
Defn.
Kite: a quadrilateral with exactly 2 pairs of consecutive sides = .
(Opp. sides = )
Properties:
*diags.
.
*one diag. bis. opp.
s.
*one diag. bis. other diag.
*one pr. opp.
s = .
January 21, 2016
Obj: To apply properties of trapezoids.
To apply properties of kites.
January 21, 2016
Obj: To apply properties of trapezoids.
To apply properties of kites.
HF:
(HR) (6.6)Pg.444: 9, 11, 13, 24-27, 41-49odd, 52-57, 60, 66
January 21, 2016
Obj: To apply properties of trapezoids.
To apply properties of kites.