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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