1. Unit 7 - Day 4
6-5 Trapezoids and Kites

2. Warm Up Which statement is true? In the rhombus below, m∠1=30x,
All quadrilaterals are rectangles
All quadrilaterals are parallelograms
All rectangles are parallelograms
All rectangles are squares
In the rhombus below, m∠1=30x,
m∠2=z+y, and m∠3=5z.
Find the value of each variable

3. Agenda Warm Up Homework Check 6-5: Trapezoids and Kites Class Work

4. Homework Check
6. 1=55, 2=55, 3=35, 4=35, 5=55, 6=55, 7=35, 8=70, 9=110, 10=70 PQ=10, QO=10, MO=20
7. 1=58, 2=32, 3=32, 4=58, 5=58, 6=32, 7=32, 8=90, 9=90, 10=90 ST = 23.5
8. 1=25, 2=25, 3=65, 4=65, 5=25, 6=25, 7=65, 8=65, 9=90, 10=90, 11=90, 12=90
9. 1-7=45, 9-12=90
10. rfg=90, 90, 90, for=45, 45, 45, fsg=90, 90, gfo=45, 45, ogf=90, 90

5. 6-5 Trapezoids and Kites Trapezoid
Definition: a quadrilateral with 1 pair of parallel sides
The parallel sides are called bases
The nonparallel sides are called legs
Base Angles: ∠1 and ∠2, ∠4 and ∠3
Property: Consecutive angles along the legs are supplementary (sum to 180)
m∠1 + m∠4 = 180
m∠2 + m∠3 = 180

6. Isosceles Trapezoid Definition: A trapezoid with congruent legs
Properties:
All Trapezoid properties
Diagonals are (TA RP)
Two pairs of base angles that are congruent
m∠4 m∠3
m∠1 m∠2

7. Ex 1
a) If m∠F = 130 Find: m∠R=_____ m∠G=_____ m∠O=____

8. b)
If m∠R=2x-10 and m∠O =3x Find m∠G.

9. c)
If FO = 2x+3 and GR=3x-1. Find x

10. Median of a Trapezoid
Definition: Segment that connects midpoints of legs. 2(median) = sum of bases 2(TP) = AB + DC

11. Ex 2:
OL = 28, RM = 20. Find CA

12. Ex 3:
CA= 8x, RM= 2x + 6, OL = 4x Find OL

13. Kite:
Definition: A quadrilateral with 2 pairs of adjacent sides congruent
Properties:
Diagonals are
One pair of congruent opposite ∠’s
Diagonals bisect top and bottom angles

14. Ex 4:
m<1 = 48 Find m< 2 = _______ m< 3 = _______ m< 4 = _______

15. Homework
Complete Worksheet