Quadrilaterals
Rajasthan Board · Class 9 · Mathematics
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A quadrilateral has how many sides, angles, and vertices?
What is a parallelogram?
When a diagonal divides a parallelogram, what does it create?
In a parallelogram ABCD, if AB = 8 cm, what is the length of DC?
Sample Questions
Which of the following properties are true for a parallelogram? (Select all correct answers)
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Opposite sides are equal, Opposite angles are equal, Diagonals bisect each other
A parallelogram has three main properties: opposite sides are equal (Theorem 8.2), opposite angles are equal (Theorem 8.4), and diagonals bisect each other (Theorem 8.6). Not all parallelograms have 90-degree angles or equal sides.
If in a quadrilateral, each pair of opposite sides is equal, then it is a parallelogram.
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True
This statement is Theorem 8.3, which is the converse of Theorem 8.2. If each pair of opposite sides of a quadrilateral is equal, then it is indeed a parallelogram.
In parallelogram PQRS, if angle P = 70°, what is the measure of angle R?
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70°
According to Theorem 8.4, in a parallelogram, opposite angles are equal. Since P and R are opposite angles, angle R = angle P = 70°.
Where do the diagonals of a parallelogram intersect?
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At their midpoints
According to Theorem 8.6, the diagonals of a parallelogram bisect each other. This means they intersect at their midpoints, dividing each diagonal into two equal parts.
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