1. SECTION 8.3 Tests for
Parallelograms

2. TESTING PARALLELOGRAMS
 How can I tell if a quadrilateral is a parallelogram?
 How do I prove a set of points in the coordinate plane form a
parallelograms?

3. TESTS FOR PARALLELOGRAMS
1. Are both pairs of opposite sides parallel?
2. Are both pairs of opposite angles congruent?
3. Are both pairs of opposite sides congruent?
4. Do the diagonals bisect each other?
5. Is one pair of opposite sides parallel and congruent?
If you answer yes to one of
these questions, you have a
parallelogram!

4. TESTING PARALLELOGRAMS
 Which quadrilaterals are parallelograms? Justify your answer.
35
A B E F
20 20
D 35 C H G
I J M N
L K P O

5. ALGEBRA
 Find x so that the ABCD is a quadrilateral that is a
parallelogram.
A B
D C

6. ALGEBRA
 Find y so that the ABCD is a quadrilateral that is a
parallelogram.
D E
G F

7. COORDINATE PLANE


8. EXAMPLE
 Determine if the quadrilateral is a parallelogram or not.
M(–3, 0), N(–1 , 3), P(3, 2), and R(1 , -1)? Use the slope formula.

9. EXAMPLES
 Determine if the quadrilateral is a parallelogram or not.
M(–3, -1), N(–1 , 3), P(3, 1), and R(1 , -3)? Use the distance and
slope formulas.

10. HOMEWORK
 Page 421
 14 – 32 (Evens)