Understanding Quadrilaterals Test

Result

Understanding Quadrilaterals Test - 5

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Question 1

1 / -0

Match the following.

Column - 1	Column - 2
A. Parallelogram	1. One pair of opposite sides is parallel
B. Trapezium	2. There are two pairs of parallel sides
C. Rectangle	3. Diagonals bisect each other at 90°
D. Kite	4. All the angles are of the same measure

A - 2, B - 1, C - 3, D - 4

A - 3, B - 1, C - 2, D - 4

A - 1, B - 2, C - 4, D - 3

A - 2, B - 1, C - 4, D - 3

Solution

A. In a parallelogram, there are two pairs of parallel sides.
B. In a trapezium, one pair of opposite sides is parallel.
C. In a rectangle, all the angles are of the same measure.
D. In a kite, diagonals bisect each other at 90^o.

Question 2

1 / -0

Fill in the blanks.

(I) A quadrilateral having two pairs of equal and parallel sides is called D .
(II) In a C polygon, all the sides are equal.
(III) The sum of exterior angles of a quadrilateral is always B .
(IV) The sum of measure of interior angles of a polygon with N sides is A .

	A	B	C	D
P	(N - 2) × 180^o	360^o	Regular	Parallelogram
Q	(2N - 1) × 90^o	180^o	Irregular	Rhombus
R	(N - 2) × 180^o	360^o	Regular	Parallelogram
S	N × 180^o	360^o	Irregular	Rhombus

R

S

P

Q

Solution

(I) A quadrilateral having two pairs of equal and parallel sides is a parallelogram.
(II) In a regular polygon, all the sides are equal.
(III) The sum of exterior angles of a quadrilateral is always 360°.
(IV) The sum of measure of interior angles of a polygon with N sides is (N - 2) × 180°.

Question 3
1 / -0

Select the incorrect statement.

A. If the diagonals of parallelogram are equal, then it is a rhombus.
B. The sum of interior angles in any quadrilateral is 360^o.
C. In a parallelogram, diagonals bisect each other at right angles.
D. The base angles of an isosceles trapezium are equal.

A
A and C

B
B and C

C
A and B

D
C and D

Solution

A. If the diagonals of parallelogram are equal, then it is a rhombus. This statement is incorrect because if the diagonals of parallelogram are equal, then it is a rectangle.
B. The sum of angles in any quadrilateral is 360o. This statement is true.
C. In a parallelogram, diagonals bisect each other at right angles. This statement is incorrect. As in a parallelogram, diagonals does not bisect each other at right angles.
D. The base angles of an isosceles trapezium are equal. This statement is true.