- Definition of a Parallelogram: A quadrilateral with two pairs of parallel sides.
- Other important properties of parallelograms:
1. Opposite sides are congruent.
2. Opposite angles are congruent.
3. Consecutive angles are supplementary (add up to 180°).
4. Diagonals bisect each other.
- For parallelogram ABCD:
- AD = 8
- DC = 15
- m∠A = 112°
- m∠B = 68°
- m∠C = 112°
- For parallelogram JKLM:
- JK = 21
- KL = 29
- m∠J = 53°
- m∠K = 127°
- m∠M = 53°
- For parallelogram RSTU:
- UT = 27
- ST = 18
- VS = 15
- VT = 15
- For parallelogram CDEF:
- m∠DEC = 21°
- m∠CDE = 47°
- m∠ECD = 112°
- m∠DFE = 47°
- For parallelogram WXYZ:
- ZW = 22
- ZY = 15
- TX = 16
- WY = 20
- m∠TZY = 62°
- m∠XYZ = 62°
- m∠XWT = 77°
- m∠XYT = 27°
Parent Tip: Review the logic above to help your child master the concept of parallelogram worksheet geometry answers.