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ParallelogramsProperties, Shapes, Diagonals and Area A parallelogram is quadrilateral made up by two pairs of parallel lines .
Worksheets: 1) Classify Quadrilateral as parallelogram (a classic activity: have the students construct a quadrilateral and its midpoints, then create an inscribed quadrilateral. Then ask the students to measure the angles, sides etc.. of inscribed shape and use the measurements to classify the shape(parallelogram). Properties of parallelograms: Angles | Sides | Diagonals |Interactive Parallelogram Types of Parallelograms: rectangle | rhombus | square | rectangle vs. square | comparison of properties of each type of parallogram | Criteria prove quadrilateral is a parallelogram | images of parallelograms o Interactive Parallelogram(see full size )The full size interactive parallelogram has additional features such as the lengths of the diagonals.  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
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 
Angles of A ParallelogramIn 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
Triangles can be used to prove this rule about the opposite angle.. X and Y
Y and Z
Z and W W and X
What is the measure of angles x, y, z in parallelogram ABCD?
Answers 
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 Types of Parallelograms: rectangle | rhombus | square | rectangle vs. square | comparison of properties of each type of parallogram | Criteria prove quadrilateral is a parallelogram | images of parallelograms Sides of a 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  What is the length of side BD and side CD in parallelogram ABCD?
Side Lengths 
What is x in the parallelogram on the left?
Answer
What is the value of x and y in the parallelogram below?
Answer 
x =90
y = 12 Properties of parallelograms: Angles | Sides | Diagonals |Interactive Parallelogram Types of Parallelograms: rectangle | rhombus | square | rectangle vs. square | comparison of properties of each type of parallogram | Criteria prove quadrilateral is a parallelogram | images of parallelograms Diagonals of a Parallelogram
The diagonals of a parallelogram bisect each other
CO = OB  What is x and Y?
Answer
Since the diagonals bisect each other, y = 16 and x = 22  What is x? Answer x + 40 = 2x + 18 40 = x +18 40 = x + 18 22 = x Top |
