Types of Quadrilaterals
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Questions and Answers

What is the defining characteristic of a square?

  • Four right angles
  • Four equal sides and four equal angles (correct)
  • Two pairs of parallel sides
  • Diagonals that bisect each other at right angles

If you change the sides of a square, what quadrilateral is formed?

  • Rectangle (correct)
  • Trapezoid
  • Parallelogram
  • Rhombus

What quadrilateral has four equal sides but not equal angles?

  • Rhombus (correct)
  • Rectangle
  • Trapezoid
  • Square

If both the sides and angles of a square are changed, what quadrilateral is formed?

<p>Parallelogram (B)</p> Signup and view all the answers

What is the sum of the angles in any quadrilateral?

<p>$360^\circ$ (A)</p> Signup and view all the answers

Study Notes

  • Quadrilaterals are polygons with 4 sides and 4 angles.
  • A square is a special type of quadrilateral with all sides and angles equal, forming two pairs of parallel sides.
  • Changing the sides of a square results in a rectangle, which has 4 equal angles but not sides.
  • Changing the angles of a square results in a rhombus, which has 4 equal sides but not angles.
  • When both the sides and angles are changed, a parallelogram is formed, with two pairs of parallel sides.
  • A quadrilateral with only one pair of parallel sides is called a trapezoid (or trapezium).
  • The sum of angles in any quadrilateral is always 360 degrees, making it useful for angle calculations in different quadrilaterals, like rectangles, rhombuses, squares, and parallelograms.

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Description

Learn about different types of quadrilaterals like squares, rectangles, rhombuses, parallelograms, and trapezoids. Understand the properties of each shape including their sides, angles, and relationships with other quadrilaterals.

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