Download Geometry Section 7.2 Properties of Parallelograms

Geometry Section 7.2
Properties of Parallelograms
What you will learn:
1. Use properties to find side lengths and
angle measures of parallelograms
2. Use parallelograms in the coordinate plane
A parallelogram is a quadrilateral with both
pairs of opposite sides parallel.
To name the parallelogram to the right, use
the notation _________.
1. Quad. ABCD is a parallelogram 1. Given
2. AB || DC , AD || BC
2. Def. of parallelogram
3. BAC  ACD,
DAC  ACB
3. Alt. Int. Angle Theorem
4. AC  AC
4. Reflexive Property
5. ABC  CDA
5. ASA
its opposite sides are congruent
its opposite angles are congruent
its consecutive angles are supplementary
its diagonals bisect each other
each diagonal is divided into two congruent segments
3 x  5  6 x  11
16  3 x
x  5. 3
3 y  11  1 8 y ) 
2
3 y  11  4 y
y  11
3 z  5  6 z  11  180
9 z  6  180
z  20. 6
9 z  186
3 z  5  6 z  11  180
9 z  6  180
z  20. 6
9 z  186
6 w  5  13w  11
16  7 w
w  16
7
Find the midpoint of one diagonal.
 0 6 3 0
,

  3,1.5
2 
 2
 5 1 3  0 
,

  3,1.5
2 
 2
DG || EF and DG  EF
1,1
rise  5

run
2
HW: pp 372 – 373 /
3 – 20 all, 23, 26 – 34 Even