Quadrilateral Properties Parallelograms Rectangles Squares and Rhombi Properties

Quadrilateral Properties Parallelograms, Rectangles, Squares and Rhombi

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.

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

Parallelogram Examples: 80 80 100 35 25 30 120 PRACTICE PARALLELOGRAMS IN IXL – N 4 & N 5 40 110

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.

RECTANGLE Examples: 20 20 20 70 70 70 140

RECTANGLE Examples: 15 30 15 15 25. 377 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.

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.

RHOMBUS Examples: Since diagonals bisect the opposite angles, RSW will be one half of RST. 67/2 = 33. 5

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

RHOMBUS Examples: 12 90 47 43 13

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

SQUARE Examples: 8 90 90 4 4 45 PRACTICE QUADRILATERALS IN IXL – G 6 & G 7