Questions and Answers
The diagonals of a rhombus are perpendicular.
True
The diagonals of a rectangle are perpendicular.
False
The opposite angles of a rhombus are equal.
True
Every quadrilateral is a parallelogram.
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Every square is a rhombus.
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No parallelogram is a rhombus.
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Every parallelogram is a rhombus.
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Every square is a rectangle.
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Every square is a parallelogram.
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Study Notes
Diagonal Properties
- Diagonals of a rhombus intersect at right angles, making them perpendicular.
- Diagonals of a rectangle are not perpendicular to each other.
Angle Properties
- Opposite angles in a rhombus are equal, maintaining symmetry within the shape.
Quadrilateral Classification
- Not every quadrilateral qualifies as a parallelogram; this is a specific classification within quadrilaterals.
Relationship Between Shapes
- Every square is classified as a rhombus due to having all sides equal and diagonals that bisect each other at right angles.
- No parallelogram can be definitively labeled as a rhombus; rhombi are a subset of parallelograms.
Parallelogram and Rhombus Distinction
- Not every parallelogram is a rhombus; parallelograms can have unequal side lengths or angles.
Square Properties
- Every square is also a rectangle because it has four right angles and opposite sides that are equal.
- Every square is a type of parallelogram due to its definition of having opposite sides equal and angles that are congruent.
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Description
Explore the unique properties of different quadrilaterals, including rhombuses, rectangles, and squares. Understand how diagonals and angles characterize these shapes and their classifications. This quiz will help reinforce your knowledge of geometrical relationships and distinctions.
