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 parallelograms.properties

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كاتب الموضوعرسالة
ahmed2010



المساهمات : 2
تاريخ التسجيل : 17/03/2010

مُساهمةموضوع: parallelograms.properties   الثلاثاء أبريل 27, 2010 3:00 pm

The full size interactive parallelogram has additional features such as the lengths of the diagonals.

Parallelograms Shape and Properties The parallelogram on the left is formed by two pairs of parallel lines. Line x is parallel to line y, and line S is parallel to line T
Parallelogram as Parallel Lines Line X and Y are parallel, as are T and S. Click on the button below to turn the pure parallel lines into a parallelogram.
Answer
Parallelogram Angles Picture
Angles of A Parallelogram

In the parallelogram on the left, parallelogram ABCD, the opposite angles are the ones that are in opposite corners such as

X and Z
W and Y
Opposite angles of a parallelogram are congruent.

Triangles can be used to prove this rule about the opposite angle.

.

Consecutive angles are the ones that are adjacent (next to each other)

X and Y
Y and Z
Z and W
W and X

Consecutive angles are supplementary.

To explore these rules governing the angles of a parallelogram use Math Warehouse's interactive parallelogram.


Picture Angles of Parallelogram What is the measure of angles x, y, z in parallelogram ABCD?
Answers
Paralelogram Angles Diagram
What is the measure of angles x, y, z in parallelogram ABCD?

Answer
In a parallelogram one of the angles measures 25°, what must be the measure of each of the other three?
Answer
one = 25° (this is the opposite angle)
another = 180-25 = 155° (a consecutive angle)
a third = 180-25 = 155°; (a consecutive angle)
Properties of parallelograms: Angles | Sides | Diagonals |Interactive Parallelogram | top
Types of Parallelograms: rectangle | rhombus | square | rectangle vs. square | comparison of properties of each type of parallogram | Criteria prove quadrilateral is a parallelogram
Sides of a Parallelogram
Sides of Parallelogram


The opposite sides of a parallelogram are congruent.

Triangles can be used to prove this rule about the opposite sides.

. To explore these rules governing the sides of a parallelogram use Math Warehouse's interactive parallelogram

Sides of Parallelogram DiagramWhat is the length of side BD and side CD in parallelogram ABCD?
Side Lengths
Parallelogram Sides Picture What is x in the parallelogram on the left? Answer
Sides Practice Problem
What is the value of x and y in the parallelogram below?
Answer
Sides of Parallelogram Illlustration
x =90
y = 12

Properties of parallelograms: Angles | Sides | Diagonals |Interactive Parallelogram | top
Types of Parallelograms: rectangle | rhombus | square | rectangle vs. square | comparison of properties of each type of parallogram | Criteria prove quadrilateral is a parallelogram
Diagonals of a Parallelogram

Parallelogram Diagonals Bisect Each Other The diagonals of a parallelogram bisect each other

AO = OD
CO = OB

To explore these rules governing the diagonals of a parallelogram use Math Warehouse's interactive parallelogram
Parallelogram Diagonals What is x and Y? Answer
Since the diagonals bisect each other, y = 16 and x = 22
Diagonals of Parallelogram DIagram
What is x?
Answer

x + 40 = 2x + 18
40 = x +18
40 = x + 18


عمل الطالب احمد هشام حسنين

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