Questions and Answers
What is a rectangle?
What is a rhombus?
What is a square?
What is a trapezoid?
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Match the vocabulary word with the correct definition:
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If a pair of opposite sides of a quadrilateral are parallel and equal, what does it constitute?
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What can be inferred if the four sides of a quadrilateral are equal?
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A square is __________ a rhombus.
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Study Notes
Parallelograms and Related Geometric Concepts
- Rectangle: A type of parallelogram characterized by having four right angles.
- Rhombus: Defined as a parallelogram where all four sides are of equal length.
- Square: A specific kind of rectangle, distinguished by having both four right angles and all sides equal.
- Trapezoid: A quadrilateral that has at least one pair of parallel sides.
Vocabulary Matching
- Rectangle: A parallelogram with four right angles.
- Rhombus: A parallelogram with all sides equal.
- Square: A rectangle with all sides equal and four right angles.
- Trapezoid: A quadrilateral with at least one pair of parallel sides.
Proofs in Geometry
- Midpoints of a Rectangle: When joining the midpoints of a rectangle's sides (K, L, M, N), the resulting shape KLMN is a parallelogram because if one pair of opposite sides are parallel and equal in length, the figure is classified as a parallelogram.
- Quadrilateral Being a Rhombus: If a quadrilateral has all four sides equal (AB = BC = CD = DA), it can be proven that the quadrilateral is a rhombus because all quadrilaterals fall under the umbrella of parallelograms.
Rhombus and Square Relationships
- A square is always considered a rhombus because it meets the criterion of having all sides equal.
Lengths and Properties
- In a parallelogram (specifically a rectangle), opposite sides are equal. Therefore, if AB is given, then AB = DC.
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Description
Test your understanding of key vocabulary related to parallelograms, including rectangles, rhombuses, squares, and trapezoids. These flashcards will help reinforce your knowledge of their definitions and properties. Great for geometry students at any level!
