January 13, 2017
REMINDER:
ALEKS 14 (8 topics) due at midnight!
Total min. (109 topics)
January 13, 2017
January 13, 2017
(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 13, 2017
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 13, 2017
Obj: To apply properties of trapezoids.
To apply properties of kites.
6.7ft
o
1303.6ft
January 13, 2017
Obj: To apply properties of trapezoids.
Proof: If isos. trap, then diags.
=
To apply properties of kites.
.
A
Given: ABCD is an isos. trap.
Prove: AC
=
BD
D
Statement
B
C
Reason
January 13, 2017
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 13, 2017
Determine the type of quadrilateral has vertices
A(5,1), B(-3,-1), C(-2,3) and D(2,4).
Obj: To apply properties of trapezoids.
To apply properties of kites.
January 13, 2017
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 13, 2017
Obj: To apply properties of trapezoids.
Find x.
To apply properties of kites.
2x+2
13
5x+3
January 13, 2017
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 13, 2017
Obj: To apply properties of trapezoids.
To apply properties of kites.
January 13, 2017
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
ALEKS 14 (8 topics) due at midnight!
Total min. (109 topics)