6.2 Prop of Parallelograms part 2 December 11, 2014
DIRT
1. List all five properties of parallelograms:
__________________________________________
__________________________________________
__________________________________________
___________________________________________
___________________________________________
2 4
6 7
1 3
5 65o
8
10
9
Find the measure of the following angles given the one angle measure shown: m<1=_____________ m<2=_____________
m<3=_____________ m<4=_____________
m<5=_____________ m<6=_____________
m<7=_____________ m<8=_____________
m<9=_____________ m<10=____________
1
6.2 Prop of Parallelograms part 2 December 11, 2014
6.2 Properties of Parallelograms
Objectives: · To use relationships among sides and among angles of parallelograms
· To use relationships involving diagonals of parallelograms and transversals
Review........
2
6.2 Prop of Parallelograms part 2 December 11, 2014
Use the figure below:
1. Name the postulate or theorem that justifies the congruence.
2. Complete each statement: a. <FEG ≅ _________ b. <EFG≅ _________
c. <FGE ≅ _________ d. EF ≅ _________
e. FG ≅ _________ f. GE ≅ _________
3
6.2 Prop of Parallelograms part 2 December 11, 2014
Use parallelogram ABCD for Examples 1­4
1. If AB = 3x + 11, BC = 2x + 19, and CD = 7x ­ 17, find x.
2. If m<BAD = y and m<ADC = 4y ­ 70, find y.
3. If m<ABC = 2x + 100 and m<ADC = 6x + 84, find m<BCD. 4. If AP = 3x, BP = y, CP = x + y, and DP = 6x ­ 40, find x and y
4
6.2 Prop of Parallelograms part 2 December 11, 2014
If 3 or more parallel lines cut off congruent segments on 1 transversal, then they cut off congruent segments on every transversal
Ex. given DH CG BF AE. Find EH
D
2
2
2
C
B
A
H
G
F
E
2.5
5
6.2 Prop of Parallelograms part 2 December 11, 2014
6