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Practice each question, then open the answer or worked solution.
If three angles of a quadrilateral are each equal to 75o, the fourth angle is
(a) 150o (b) 135o (c) 45o (d) 75o
Solution:-
(b) 135o
We know that, sum of interior angles of quadrilateral is equal to 360o.
From the question it is given that, three angles of a quadrilateral are each equal to 75o.
Let us assume the fourth angle be x.
Then, 75o + 75o + 75o + x = 360o
225 + x = 360o
x = 360o – 225
x = 135o
For which of the following, diagonals bisect each other?
(a) Square (b) Kite (c) Trapezium (d) Quadrilateral
Solution:-
(a) Square
For which of the following figures, all angles are equal?
(a) Rectangle (b) Kite (c) Trapezium (d) Rhombus
Solution:-
(a) Rectangle
So, in rectangle all angles are equal to 90o.
For which of the following figures, diagonals are perpendicular to each other?
(a) Parallelogram (b) Kite
(c) Trapezium (d) Rectangle
Solution:-
(b) Kite
In kite, diagonals are perpendicular to each other is as shown in the figure below.
For which of the following figures, diagonals are equal?
(a) Trapezium (b) Rhombus
(c) Parallelogram (d) Rectangle
Solution:-
(d) Rectangle
For rectangle, diagonals are equal is as shown in the figure below.
Which of the following figures satisfy the following properties?
– All sides are congruent.
– All angles are right angles.
– Opposite sides are parallel.
Solution:-
(c) R
So, square has all sides are congruent, all angles are right angles and opposite sides are parallel.
Which of the following figures satisfy the following property?
– Has two pairs of congruent adjacent sides.
Solution:-
(c) R
Which of the following figures satisfy the following property?
– Only one pair of sides are parallel.
Solution:-
(a) P
By observing the above figure we can able say that trapezium has only one pair of sides are parallel.
Which of the following figures do not satisfy any of the following properties?
– All sides are equal.
– All angles are right angles.
– Opposite sides are parallel.
Solution:-
(a) P
By observing the above figure we can able say that trapezium do not satisfy any of the properties mentioned in the question.
Which of the following properties describe a trapezium?
Solution:-
(a) A pair of opposite sides is parallel.