1. Quadrilateral Properties
Parallelograms, Rectangles, Squares and Rhombi

2. Properties of Parallelograms apply to ALL of the quadrilaterals that we will discuss.
It would be GREATLY helpful for you to memorize these properties especially, as they will ALWAYS apply.

3. Parallelogram Examples:
ABCD, BCDA, CDAB, DABC CD CB
CBA EB

4. PRACTICE PARALLELOGRAMS IN IXL – N4 & N5
Parallelogram Examples: 80 80 25 35 30 40
100
120
110
PRACTICE PARALLELOGRAMS IN IXL – N4 & N5

5. Rectangles are special Parallelograms; they have four right angles.
Notice that only properties 6 and 7 are different; the first 5 are the same as for parallelograms.

6. RECTANGLE Examples: 20 20 20 70 70
140 70
140

7. RECTANGLE Examples: 15 30 15
25.377 15 16 30
25.377
To find the length of KN, we need to use the Pythagorean Theorem. We know that KL is 16 and that LN is 30, and that NKL is a right angle. We can solve for KN from there.
𝑥 2 = 30 2 ;
256+ 𝑥 2 =900;
𝑥 2 =644;
𝑥=25.377

8. Rhombi are special Parallelograms; they have four congruent sides.
Notice that only properties 6, 7 and 8 are different; the first 5 are the same as for parallelograms.

9. RHOMBUS Examples:
Since diagonals bisect the opposite angles, RSW will be one half of RST.
67/2 = 33.5

10. RHOMBUS Examples:
Since consecutive angles are supplementary, angle TVR is equal to 45 (180 – 135 = 45).
Since a diagonal of a rhombus bisects the angle, angle SVT will be half of angle TVR.
45/2 = 22.5

11. RHOMBUS Examples: 12 90 47 43 13

12. Squares are special Rhombi; they have four right angles.
Squares have 10 properties; they are a combination of parallelogram, rectangle and rhombus properties.

13. PRACTICE QUADRILATERALS IN IXL – G6 & G7
SQUARE Examples: 8 90 90 4 4 45
PRACTICE QUADRILATERALS IN IXL – G6 & G7