Parallelogram
See how to solve a parallelogram
(sides/angles/diagonals/area).
6 examples and their solutions.
Parallelogram: Definition
Definition
Parallelogram: Sides
Property
Example
2x + 1 = 9
2x = 8
x = 4
y + 4 = 6
y = 6
x = 4, y = 6
Close
Example
OPQR: parallelogram.
Coordinates of point Q = ?
Solution Coordinates of point Q = ?
↓
Q(1 + 6, 4 + + 2)
= (7, 6)
[1]
PQ and OR are parallel and congruent.
→ (change of P → Q) = (change of O → R)
= (+6, +2)
→ (change of P → Q) = (change of O → R)
= (+6, +2)
Close
Parallelogram: Angles
Property
m∠1 = m∠1'
m∠2 = m∠2'
m∠[blue] + m∠[green] = 180
Example
m∠A, m∠B, m∠C = ?
Solution m∠A + 70 = 180
m∠A = 110
↓
↓
↓
m∠A = 110
m∠B = 70
m∠C = 110
Close
Parallelogram: Diagonals
Property
Example
3x - 2 = 7
3x = 9
x = 3
2y = 10
y = 5
x = 3, y = 5
Close
Parallelogram: Area
Formula
A = bh
Example
Area?
Solution A = 9⋅5
= 45
Close
Example
Area?
Solution A = 11⋅8
= 88
Close