Properties of Parallelograms

1
Properties of Parallelograms
GEOMETRY LESSON 6-2
2
Properties of Parallelograms
GEOMETRY LESSON 6-2
Find the value of x in ABCD. Then find m
A.
3
Properties of Parallelograms
GEOMETRY LESSON 6-2
So x 5 and y 3.
4
Properties of Parallelograms
GEOMETRY LESSON 6-2
Theorem 6-4 states If three (or more) parallel
lines cut off congruent segments on one
transversal, then they cut off congruent segments
on every transversal. Explain how to divide a
blank card into five equal rows using Theorem 6-4
and a sheet of lined paper.
Place a corner of the top of the card on the
first line of the lined paper. Place any other
corner on the sixth line.
Mark the points where the lines intersect one
side of the card.
Mark the points where the lines intersect the
opposite side of the card.
Connect the marks on opposite sides using a
straightedge.
If you use the same-side bottom corner, the lines
are parallel to the top of the card. If you use
the opposite corner, the lines are parallel to
the diagonal of the card.
5
Properties of Parallelograms
GEOMETRY LESSON 6-2
Use parallelogram ABCD for Exercises 15
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 m BCD
80 and m CAD 34, find m ACD. 5. If AP
3x, BP y, CP x y, and DP 6x 40, find x
and y.
7
50
72
46
x 10, y 20