Given ∠ ADC =∠ ABC ∠ 1 ≅∠ 3 and ∠ 2 ≅∠ 4, quadrilateral ABCD is a

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Converse of Diagonals of a Parallelogram Bisect Each Other

Given ∠ ADC =...

Question

A

Trapezium

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B

Parallelogram

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C

Rhombus

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D

Kite

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Solution

The correct option is B
Parallelogram

Parallelogram

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Similar questions

Q. A quadrilateral whose opposite sides are parallel is called
(a) rhombus
(b) a kite
(c) a trapezium
(d) a parallelogram

Q. State whether True or False.
(a) All rectangles are squares.
(b) All rhombuses are parallelograms.
(c) All squares are rhombuses and also rectangles.
(d) All squares are not parallelograms.
(e) All kites are rhombuses.
(f) All rhombuses are kites.
(g) All parallelograms are trapeziums.
(h) All squares are trapeziums.

Q. Which of the quadrilaterals mentioned in brackets have the following properties?

(1) Diagonals are congruent. (square, rectangle, rhombus)
(2) The longer diagonal is the perpendicular bisector of the shorter and the shorter of the longer. (trapezium, kite, rhombus)
(3) All sides and angles are congruent. (rhombus, square, rectangle)
(4) Opposite angles are congruent. (kite, parallelogram, rectangle)
(5) Opposite sides are congruent. (trapezium, rectangle, parallelogram)
(6) Diagonals bisect each other at right angles. (square, rectangle, rhombus)
(7) Diagonals bisect each another. (rectangle, parallelogram, kite)
(8) One pair of opposite sides is parallel. (kite rhombus trapezium)

Q. ABCD is a quadrilateral whose diagonal AC divides it into two parts equal in area, then ABCD is:

(a) always a rhombus

(b) a parallelogram

(c) a kite

(d) a trapezium

A quadrilateral having one and only pair of paralles sides is called

(a) a parallelogram
(b) a kite
(c) a rhombus
(d) a trapezium

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