Podcast
Questions and Answers
What is a parallelogram?
What is a parallelogram?
- A quadrilateral with one pair of opposite sides congruent
- A quadrilateral with four right angles
- A quadrilateral with both pairs of opposite sides parallel (correct)
- A quadrilateral with no parallel sides
What is a rhombus?
What is a rhombus?
A parallelogram with four congruent sides
What defines a rectangle?
What defines a rectangle?
A parallelogram with two pairs of congruent sides and four right angles
Describe a square.
Describe a square.
What is a kite?
What is a kite?
What characterizes a trapezoid?
What characterizes a trapezoid?
What is an isosceles trapezoid?
What is an isosceles trapezoid?
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Study Notes
Parallelogram Classification
- Parallelograms are quadrilaterals with both pairs of opposite sides parallel.
- A rhombus is a specific type of parallelogram characterized by having four congruent sides.
- Rectangles are parallelograms that have two pairs of congruent sides as well as four right angles.
- Squares are a special case of parallelograms that possess four congruent sides and four right angles, combining properties of both rhombuses and rectangles.
Other Quadrilateral Types
- A kite is defined as a quadrilateral featuring two pairs of adjacent sides that are congruent, while opposite sides are not congruent.
- A trapezoid has exactly one pair of opposite sides that are congruent, distinguishing it from parallelograms.
- An isosceles trapezoid is a type of trapezoid in which the nonparallel opposite sides are congruent.
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