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Quadrilaterals and Their Properties

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Questions and Answers

Which properties are associated with a trapezium?

One pair of opposite sides parallel (correct)

Both diagonals bisect each other

Both pairs opposite angles equal

Both pairs opposite sides equal in length

What is a key property of a kite?

Diagonals intersect at 90° (correct)

Both pairs of opposite sides parallel

2 pairs of adjacent sides equal (correct)

All sides equal

A parallelogram has both pairs of opposite sides equal in length.

True

All rectangles have four sides that are equal.

False Signup and view all the answers

What do you call a quadrilateral with all sides equal and all angles equal?

Square Signup and view all the answers

A _______ has diagonals that bisect each other at 90°.

rhombus Signup and view all the answers

Match the following quadrilaterals with their properties:

Rectangle = All 4 angles equal to 90° Square = All sides equal and all angles equal Rhombus = All sides equal, diagonals bisect at 90° Parallelogram = Both pairs opposite sides equal in length Signup and view all the answers

Study Notes

Quadrilaterals Overview

Quadrilaterals are polygons with four rigid sides.

Trapezium

Contains one pair of opposite sides that are parallel.

Kite

Features two pairs of adjacent sides that are equal in length.
One pair of opposite angles is equal (angles between unequal sides).

Parallelogram

Both pairs of opposite sides are equal in length.
Both pairs of opposite angles are equal.
Diagonals bisect each other, ensuring equal division.
Both pairs of opposite sides are parallel.

Rectangle

Shares all properties of a parallelogram.
All four angles are equal to 90 degrees.
Diagonals are equal in length, providing symmetry.

Rhombus

Inherits all characteristics of a parallelogram.
All four sides are equal in length.
Diagonals intersect at 90 degrees and bisect each other.
Diagonals also bisect both pairs of opposite angles.

Square

Combines all properties of a parallelogram, rectangle, and rhombus.
All four angles equal 90 degrees.
Diagonals are equal in length and meet at 90 degrees, bisecting both pairs of opposite angles (resulting in 45° angles).

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Description

This quiz covers the various types of quadrilaterals, including trapeziums, kites, and parallelograms. Test your knowledge about their unique properties such as side lengths, angle measures, and parallel sides. Challenge yourself to identify and categorize these shapes based on their characteristics.