Test: Parallelograms Basic Properties

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This mock test of Test: Parallelograms Basic Properties for Class 9 helps you for every Class 9 entrance exam. This contains 15 Multiple Choice Questions for Class 9 Test: Parallelograms Basic Properties (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Parallelograms Basic Properties quiz give you a good mix of easy questions and tough questions. Class 9 students definitely take this Test: Parallelograms Basic Properties exercise for a better result in the exam. You can find other Test: Parallelograms Basic Properties extra questions, long questions & short questions for Class 9 on EduRev as well by searching above.

QUESTION: 1

In a parallelogram ABCD, if ∠A = 115°, then ∠B, ∠C and ∠D are

Solution:

In a parallelogram ABCD, ∠D = 115° (Given)

Since, ∠A and ∠D are adjacent angles of parallelogram.

We know, Adjacent angles of a parallelogram are supplementary.

∠A + ∠D = 180°

∠A = 180° – 115° = 65°

Measure of ∠A is 65°.

QUESTION: 2

Choose the correct statement

A.
A trapezoid is a parallelogram.
B.
The diagonals of a parallelogram are congruent, if it is a rectangle.
C.
If one pair of opposite sides of a quadrilateral are parallel the quadrilateral is called a parallelogram
D.
Diagonals of a square are not equal.

Solution:

QUESTION: 3

Which of the following is not a parallelogram?

A.
Rectangle
B.
Rhombus
C.
Square
D.
Trapezium

Solution:

QUESTION: 4

In the figure ABCD is a ||^gm in which ∠DAB = 80° and ∠DBC = 60°, then ∠CDB and ∠ADB are equal to

A.
∠CDB = 60°, ∠ADB = 80°
B.
∠CDB = 30°, ∠ADB = 70°
C.
∠CDB = 50°, ∠ADB = 60°
D.
∠CDB = 40°, ∠ADB = 60°

Solution:

QUESTION: 5

A quadrilateral is a ______ if a pair of opposite sides is equal and parallel

A.
Square
B.
Parallelogram
C.
Rhombus
D.
Rectangle

Solution: Parallelogram because it have pair of opposite sides are equal and parallel

QUESTION: 6

If every pair of adjacent sides of a quadrilateral are equal, then the quadrilateral is a

A.
Rectangle or a trapezium
B.
Square or a Rhombus
C.
Square only
D.
Rhombus only

Solution:

QUESTION: 7

In a parallelogram ABCD, if ∠A = 60°, then ∠D is equal to:

A.
140°
B.
130°
C.
120°
D.
110°

Solution:

QUESTION: 8

Each diagonal of a parallelogram divides it into two

A.
Right triangles
B.
Triangles
C.
Equilateral triangles
D.
Congruent triangles

Solution:

QUESTION: 9

Statement 1: AB||DC and AD||BC

Statement 2: AB = DC and AD=BCFor a quadrilateral ABCD to be a parallelogram,__________

A.
Either Statement 1 or Statement 2 should be true
B.
Both Statement 1 and Statement 2 should be true .
C.
Only Statement 1 should be true.
D.
Only Statement 2 should be true

Solution:

QUESTION: 10

Perimeter of a parallelogram is 22 cm. If the longer side, measures 6.5 cm, the measure of the shorter side will be:

A.
2.5 cm
B.
3 cm
C.
4.5 cm
D.
6.5 cm

Solution:

Let the length of the shorter side be x cm

length of longer side= 6.5 cm

perimeter= 22 cm

>2[sum of adjacent sides]=22

>2[longer side+shorter side]=22

>2[6.5+x] = 22 = 22/2 =11

>6.5 + x =11 = 11 - 6.5 = 4.5

> x= 4.5

QUESTION: 11

In the figure ABCD is a square. A line segment DX cuts the side BC at X and the diagonal AC at O such that ∠COD = 105° and ∠OXC = y. Then y is equal to

A.
90°
B.
60°
C.
45°
D.
50°

Solution:

Given :In the figure ABCD is a square. A line segment DX cuts the side BC at X and the diagonal AC at O such that COD = 105 degree and OXC = y

To find :y

Since DX is a line segment, then

angle COD + angle COX = 180 degrees {Angle sum property}

=> angle COX = 180 -105 = 75 degrees..(1)

Since ABCD is a square and AC is a diagonal , therefore all the angles in a square is 90 degree each and AC bisects the angle in half. {property}

=> angle ACB { also OCX } = 90 /2 =45 degrees...(2)

In traingle COX

=> angle OCX + angle COX + y = 180 degree { sum of angles in a triangle is 180 degree}

=> y = 180 - (45+75) {using eq 1 and 2}

=> y = 60 degrees Answer

QUESTION: 12

Which of the following is not true for a parallelogram?

A.
Diagonals bisect each other
B.
Opposite sides are equal
C.
Opposite angles are equal
D.
Opposite angles are bisected by diagonals

Solution:

QUESTION: 13

In a parallelogram, if ∠A = (2x +25)° and ∠B = (3x – 5)°, the value of x is

A.
60
B.
100
C.
45
D.
32

Solution:

QUESTION: 14

If an angle of a parallelogram is four-fifths of the adjacent angle, then the angles of the parallelogram are

A.
80°, 100°, 80°, 100°
B.
40°, 140°, 40°, 140°
C.
45°, 135°, 45°, 135°
D.
60°, 120°, 60°, 120°

Solution:

QUESTION: 15

In fig., PQRS is a parallelogram in which ∠PSR = 125°, ∠RQT is equal to

A.
125°
B.
55°
C.
65°
D.
75°

Solution:

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Test: Parallelograms Basic Properties

15 Questions MCQ Test Mathematics (Maths) Class 9 | Test: Parallelograms Basic Properties

In a parallelogram ABCD, if ∠A = 115°, then ∠B, ∠C and ∠D are

Choose the correct statement

Which of the following is not a parallelogram?

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