The document defines and describes the key properties of parallelograms. It states that a parallelogram is a quadrilateral with two pairs of parallel sides. The properties outlined are: the opposite sides of a parallelogram are parallel and equal in length; the opposite angles of a parallelogram are equal; each diagonal of a parallelogram bisects the other; and consecutive angles of a parallelogram are supplementary. The document provides examples for students to practice applying these properties.

1. PROPERTIES OF
PARALLELOGRAMS

2. What is a Parallelogram?
It is a quadrilateral whose
opposite sides are parallel.

3. What does a Parallelogram look like?
T
A P
S
-It has 4 vertices.
-It has 4 angles.
-It has 4 sides.

4. What are the Properties of a
Parallelogram?
The opposite
sides of a
parallelogram
are parallel.
A
B C
D

5. What are the Properties of a
Parallelogram?
The opposite
sides of a
parallelogram
are equal.
A
B C
D

6. What are the Properties of a
Parallelogram?
The opposite
angles of a
parallelogram
are equal.
A
B C
D

7. What are the Properties of a
Parallelogram?
Each diagonal
divides a
parallelogram into
two congruent
triangles.
A
B C
D

8. What are the Properties of a
Parallelogram?
Consecutive
angles of a
parallelogram are
supplementary.
A
B C
D

9. What are the Properties of a
Parallelogram?
The diagonals of
a parallelogram
bisect each
other.
A
B C
D

10. Complete the Statement about EFGH
1. If EF = 17, then GH = ______.
2. If FP= 37, then HP = ______.
3. If GP = 11.5, then EG = ______.
4. If EH = y, then FG = ______.
5. If HP = k, then FH = ______.
6. If EG = x, then EP = ______.
F G
HE
P

11. Given: ABCD with ∠D = 50⁰, and ∠CAB = 60⁰
Find the measure of each of the following angles.
1. ∠ 𝐵
2. ∠ 𝐷𝐴𝐵
3. ∠ 𝐷𝐴𝐶
4. ∠ DCB
5. ∠ 𝐴𝐶𝐷
6. ∠ 𝐴𝐶𝐵

12. CLASS ACTIVITY
- 1 Whole Sheet of Paper
- Copy and Answer

13. A. Complete the Statement about WXYZ
1. If WX = 20, then YZ = ______.
2. If ZA= 23, then XA = ______.
3. If WA = 14, then WY = ______.
4. If WZ = m, then XY = ______.
5. If ZX = 30, then ZA = ______.
6. If AY = n, then WA = ______.
w X
YZ
A

14. B. Given: ABCD with ∠C = 125⁰, and ∠DBC = 20⁰
Find the measure of each of the following angles.
1. ∠ 𝐴
2. ∠ 𝐵𝐷𝐶
3. ∠ 𝐴𝐵𝐶
4. ∠ ABD
5. ∠ 𝐴𝐷𝐶
6. ∠ 𝐴𝐷𝐵
A
B C
D