Questions and Answers
What property guarantees that a quadrilateral is a parallelogram?
If both pairs of opposite sides of a quadrilateral are congruent
Which of the following is NOT a type of quadrilateral mentioned in the text?
Isosceles trapezoid
What is the defining property of a square?
A square is a parallelogram with four congruent sides and four right angles.
Which of the following is NOT a type of quadrilateral mentioned in the text?
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What is the defining property of a rectangle?
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Study Notes
Quadrilaterals
- A quadrilateral is a polygon with four sides, commonly found in everyday life.
Types of Quadrilaterals
- Parallelogram: a quadrilateral with two pairs of parallel sides.
- Rectangle: a parallelogram with four right angles.
- Square: a parallelogram with four congruent sides and four right angles.
- Rhombus: a parallelogram with four equal sides, but no right angles.
- Trapezoid: a quadrilateral with only one pair of parallel sides.
- Kite: a quadrilateral with two distinct pairs of adjacent sides of equal length.
- General Quadrilateral: a quadrilateral with no parallel sides.
Condition for a Quadrilateral to be a Parallelogram
- If both pairs of opposite sides of a quadrilateral are congruent, then it is a parallelogram.
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