MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Theorem 2: Opposite Sides in a Parallelogram Are Equal

A quadrilater...

Question

A quadrilateral can be divided into two congruent triangles. If the opposite sides are non-parallel, the quadrilateral is called ___.

A

Rectangle

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

Square

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

Kite

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

Rhombus

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
Kite

A kite is a quadrilateral, which is divided into two congruent triangles by its longer diagonal and has non-parallel opposite sides.

Suggest Corrections

thumbs-up

0

Similar questions

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

Q. Complete each of the following statements by means of one of those given in brackets against each:
(i) If one pair of opposite sides are equal and parallel, then the figure is ........................
(parallelogram, rectangle, trapezium)

(ii) If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is ................ (square, rectangle, trapezium)

(iii) A line drawn from the mid-point of one side of a triangle .............. another side intersects the third side at its mid-point. (perpendicular to parallel to, to meet)

(iv) If one angle of a parallelogram is a right angle, then it is necessarily a .................
(rectangle, square, rhombus)

(v) Consecutive angles of a parallelogram are ...................
(supplementary, complementary)

(vi) If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a ...............
(rectangle, parallelogram, rhombus)

(vii) If opposite angles of a quadrilateral are equal, then it is necessarily a ....................
(parallelogram, rhombus, rectangle)

(viii) If consecutive sides of a parallelogram are equal, then it is necessarily a ..................
(kite, rhombus, square)

Complete each of the following statements by means of one of those given in brackets against each :

(i) If one pair of opposite sides is equal and parallel, then the figure is ........

(parallelogram, rectangle, trapezium)

(ii) If in a quadrilateral only one pair of opposite sides is parallel, the quadrilateral is .......

(square, rectangle, trapezium)

(iii) A line is drawn from the mid-point of one side of a triangle ......, another side intersects the third side at its mid-point.

(perpendicular to, parallel to, to meet)

(iv) If one angle of a parallelogram is a right angle, then it is necessarily a ......

(rectangle, square, rhombus)

(v) The consecutive angle of a parallelogram is......

(supplementary, complementary)

(vi) If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a ........

(rectangle, parallelogram, rhombus)

(vii) If opposite angles of a quadrilateral are equal, then it is necessarily a ...........

(parallelogram, rhombus, rectangle)

(viii) If consecutive sides of a parallelogram are equal, then it is necessarily a ..........

(kite, rhombus, square)

Q. A quadrilateral can be divided into two congruent triangles. If the opposite sides are non-parallel, the quadrilateral is called

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Properties of Parallelograms

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Theorem 2: Opposite Sides in a Parallelogram Are Equal

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon