[pic]
A parallelogram is a quadrilateral in which pairs of opposite sides are parallel and are congruent. Opposite sides are parallel and equal in length, and opposite angles are equal (angles "a" are the same, and angles "b" are the same) NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!

Name the kind of parallelogram this figure displays? Example 1: [pic]

|[pic] |A parallelogram with: | | |all sides equal and | | |angles "a" and "b" as right angles | | |Is a square! |

Perimeter and area of a parallelogram

Perimeter of a parallelogram:

The perimeter can be calculated with the following formula:
[pic]
Where a and b are the side lengths.

Area of a parallelogram

The area can be calculated with the following formulas:

[pic]
Where b is the length of the base line, and h is the height of the parallelogram.

[pic]
Where a and b are the side lengths and θ is the angle.
[pic]

Example 2: Find the area and perimeter with the given length and side. |a: |[pic] |Side length a |
|b: |[pic] |Side length b |
|h: |[pic] |Height |
|θ: |[pic] |Angle in degrees |

The perimeter is calculated:
[pic]
The area is calculated, using height and b:
[pic]
The area is calculated, using a, b and angle:
[pic]

Special parallelograms

If all angles are 900 degrees, then it is also called a rectangle. If all angles are 900 degrees and the lines are of the same length, then it is also called a square. If all sides are of the same length, then it is also called a rhombus.

Example 3: The sides of a 900 angle with the same...

...Class IX (Term 2) 8. QUADRILATERALS
IMPORTANT TERMS, DEFINITIONS AND RESULTS
l l
Sum of the angles of a quadrilateral is 360°. A diagonal of a parallelogram divides it into two congruent triangles. In a parallelogram, (i) opposite sides are equal (ii) opposite angles are equal (iii) diagonals bisect each other A quadrilateral is a parallelogram, if (i) opposite sides are equal or (ii) opposite angles are equal or (iii) diagonals bisect each other...

...& PROPERTIES OF QUADRILATERALS
There are seven types of quadrilaterals that can be divided into two groups: parallelograms and other quadrilaterals.
1. Parallelograms
Quadrilaterals are called parallelograms if both pairs of opposite sides are equal and parallel to each other. Different parallelograms and their properties.
a) Parallelogram
Opposite sides of a parallelogram are parallel and equal...

...8th QUADRILATERAL AND PARALLELOGRAM
1. Prove that in a parallelogram, the opposite sides are equal and the
opposite angles are equal.
2. Prove that diagonals of a rhombus bisect each other at right
angles.
3. Two adjacent angles of a parallelogram are as 2:3. Find the
measure of each of its angles.
4. Prove that the diagonals of a square are equal and bisect each other
at right angles.
5. If an angle of a parallelogram is...

...MATH FINAL EXAM
STUDY GUIDE
Tips to remember:
1) To solve equations, use inverse (opposite) operations to find the solution and don’t forget to check.
Ex: x + 12 = 42 Ex 2: = 11
- 12 - 12 x 7 = 11 x 7
X = 30 is the solution n = 77 is the solution
2) - To change Percent ...

...NAME: Eden Barrera Rodriguez
COURSE: BEEd- General Education DATE: 11.26.2012
MATH LESSON PLAN:
KINDS OF PLANE FIGURES
OBJECTIVES:
At the end of 45 minutes discussion, the students will be able to:
* Identify the different kinds of plane figures
* Draw plane figures correctly
* Appreciate the shapes around us. Show awareness to the things around us.
PROCEDURE:
A. MATERIALS: white board marker (black)
Visual aid (bright-colored cartolina)...

...College Algebra, Pr. 2
March 25, 2015
Math Curse By: Jon Scieszka and Lane Smith
Math Curse, written by Jon Scieszka and Lane Smith, takes us on a journey with a small child who is cursed by math. His teacher’s name is Mrs. Fibonacci, who was a well know mathematician who connected a mathematical sequence found in nature. Of course Mrs. Fibonacci told her class and this child how easily math can be seen in the outside world. Our main...

...Santoro, A. (2004). “Manipulatives: A Hands-On Approach to Math.” Principal, 84 (2), (28-28).
This article speaks about the importance and significance of the use of manipulatives in the classroom, specifically in the subject of math. Manipulatives have proven to be valuable when used in a math class and are even more valuable to the children when they are young, and are learning new math concepts. Students are able to physically...

...
ANALYSIS
Physics has a lot of topics to cover. In the previous experiments, we discussed Forces, Kinematics, and Motions. In this experiment, the focus is all about Friction. Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction like fluid friction which describes the friction between layers of a viscous fluid that are moving relative to each other; dry friction which...