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Quadrilaterals Test - 3

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Quadrilaterals Test - 3
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  • Question 1
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    Match the columns:

    1. A rectangle in which two adjacent sides have equal length is a a. rhombus
    2. If the diagonals are perpendicular to each other and the opposite corner angles are equal to each other, then the parallelogram is a/an b. rectangle
    3. A parallelogram whose diagonals are congruent is a c. square
    4. The two non-parallel sides are equal and form equal angles at one of the bases, then it is called a/an d. isosceles trapezium
    Solution

    1. A rectangle in which two adjacent sides have equal length is a square.

    2. If the diagonals are perpendicular to each other, then the parallelogram is a rhombus.
    These are the properties of a rhombus.

    • 1. The diagonals are perpendicular to each other.
    • 2. Opposite angles are equal.

    3. A rectangle has the following properties:

    • All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other).
    • All angles are right angles by definition.
    • The diagonals are congruent.

    4. It's a property of an isosceles trapezium that the two non-parallel sides are equal and form equal angles at one of the bases.

     

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