In which of the following figures, the opposite angles are always equal?
1. Rectangle
2. Square
3. Rhombus
4. Isosceles trapezoid

1, 2, and 3

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2, 3, and 4

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1, 2, and 4

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All four figures

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Solution

The correct option is A $1, 2, and 3$
The opposite angles of a square are equal and they are right angles.
The opposite angles of a rectangle are also equal and they are right angles.
The opposite angles of a rhombus are equal.
The base angles of an isosceles trapezoid are equal, but the opposite angles are not equal.
So, in figures 1, 2, and 3, opposite angles are equal.

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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. 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)

Find which of the following are not true:

1.All the sides of rhombus are always equal in length

2.All the sides of a parallelogram are always equal in length

3.Diagonals of a parallelogram are equal in length

4.Diagonals of a square are equal in length

5.Diagonals of a rectangle are equal in length

Nadeem has created a flowchart to specify whether a given quadrilateral is a square or not. If the answer is yes (for the input question), it is considered as a square, and if it is no, it is not considered as a square. Which of these is the best question to ask to find out whether the quadrilateral is a square or not?

a) "Are all the angles in the square right angles?" (A rectangle also has all angles=90^o)

b) "Are the opposite sides equal?" (opp. sides equal for square, parallelogram, rectangle, rhombus)

c) "Are any two adjacent sides of the figure equal?" (equal for rhombus, square, also for kite, but not any two adjacent sides)

d) "Are the opposite angles of the figure equal?" (equal for square, rectangle, parallelogram, rhombus)

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In which of the following figures, the opposite angles are always equal? 1. Rectangle 2. Square 3. Rhombus 4. Isosceles trapezoid

In which of the following figures, the opposite angles are always equal?
1. Rectangle
2. Square
3. Rhombus
4. Isosceles trapezoid