Understanding Quadrilaterals Test

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Understanding Quadrilaterals Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

In a parallelogram ABCD, AB > AD. Then

A
$$\displaystyle \angle ADB=\angle DBC$$

B
$$\displaystyle \angle CBD=\angle DAB$$

C
$$\displaystyle \angle ADB<\angle BDC$$

D
$$\displaystyle \angle ADB>\angle BDC$$

Solution

$$\displaystyle AB>AD$$
$$\displaystyle \therefore \quad \angle ADB>\angle ABD$$ (angle opposite to longer side is greater)
$$\displaystyle \therefore \quad \angle ADB>\angle BDC$$ ($$\displaystyle \because \quad \angle ABD=\angle BDC$$ as ABCD is a parallelogram)
Question 2
1 / -0

Which of the following is not true?

A
Every trapezium is a parallelogram but every parallelogram is not a trapezium

B
Opposite sides of a parallelogram are not equal

C
Opposite angles of a parallelogram are equal

D
both (1) and (2)

Solution

Option(A) is not true. A trapezium has one pair of parallel sides.
A parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezium, but the trapezium cant be a parallelogram.
Option (B) is not true as the opposite sides of a parallelogram are equal and parallel.
Option D is the correct answer.
Question 3
1 / -0

Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram

A
$$90^o$$

B
$$120^o$$

C
$$70^o$$

D
$$80^o$$

Solution

Let $$ABCD$$ be the parallelogram with $$\angle A=\angle B.$$
We know, sum of adjacent angles of parallelogram is $$180^o.$$
$$\Rightarrow$$ $$\angle A+\angle B=180^o$$
$$\Rightarrow$$ $$2\angle A=180^o$$ [ Since, $$\angle A=\angle B$$ ]
$$\Rightarrow$$ $$\angle A=90^o$$
$$\Rightarrow$$ $$\angle B=\angle A=90^o$$
$$\Rightarrow$$ $$\angle A=\angle C=90^o$$ [ Opposite angles of parallelogram ]
$$\Rightarrow$$ $$\angle B=\angle D=90^o$$ [ Opposite angles of parallelogram ]
$$\therefore$$ Each angle of the parallelogram measures is $$90^o.$$
Question 4
1 / -0

What is a curve?

A
It is an angle

B
It is a polygon

C
It is a quadrilateral

D
It is a shape or a line which is smoothly drawn in a plane having a bent or turns in it.

Solution

A curve is a shape or a line which is smoothly drawn in a plane having a bent or turns in it.
Hence, D will be correct answer.
Question 5
1 / -0

Which of the following is an example of an open curve?

A
Circle

B
Triangle

C
A line segment

D
Pentagon

Solution

As the line segment has two end points, so it is an open curve.
Therefore, C is the correct answer.
Question 6
1 / -0

A Rhombus also satisfies the properties of a:

A
Square

B
Parallelogram

C
Trapezium

D
None of these

Solution

A rhombus is a parallelogram. The definition of a parallelogram is a quadrilateral that has $$2$$ pairs of parallel lines.

A parallelogram has properties including $$2$$ pairs of congruent sides, $$2$$ pairs of congruent opposite angles, supplementary consecutive angles, and diagonals that bisect each other.

A rhombus has all of these properties.
Question 7
1 / -0

The ratio of measures of opposite angles of any parallelogram is

A
$$1 : 2$$

B
$$1 : 1$$

C
$$2 : 3$$

D
$$1 : 3$$

Solution

According to the definition of a parallelogram, opposite angles of any parallelogram are congruent.
In any parallelogram $$ABCD,\ \ \angle A=\angle C$$ , and $$\angle B=\angle D.$$
Hence, the ratio of opposite angles of any parallelogram is $$1:1.$$
Question 8
1 / -0

When you draw without lifting your pencil or pen on a paper you get?

A
Plane curve

B
Plane shadow

C
3-dimension

D
Line

Solution

When we join number of points without lifting our pen we make a shape which not necessarily should be straight or curve. We get a plane curve.
Therefore, A is the correct answer.
Question 9
1 / -0

A curve which has 2 end points is called an .....................

A
closed curve

B
simple curve

C
open curve

D
None of the above

Solution

An open curve is a curve whose end points do not join. In other words it has 2 end points.
Therefore, C is the correct answer.
Question 10
1 / -0

The closed curve that crosses _____ is not a simple closed curve.

A
twice

B
itself

C
multiple points

D
All of the above

Solution

The closed curve that doesn't crosses itself is a simple closed curve.
So, the closed curve that crosses itself is not a simple closed curve.
Therefore, $$Op-B$$ is the correct answer.

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Understanding Quadrilaterals Test - 8

Result

Understanding Quadrilaterals Test - 8

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SHARING IS CARING

Question 1

$$\displaystyle \angle ADB=\angle DBC$$

$$\displaystyle \angle CBD=\angle DAB$$

$$\displaystyle \angle ADB<\angle BDC$$

$$\displaystyle \angle ADB>\angle BDC$$

Solution

Question 2

Every trapezium is a parallelogram but every parallelogram is not a trapezium

Opposite sides of a parallelogram are not equal

Opposite angles of a parallelogram are equal

both (1) and (2)

Solution

Question 3

$$90^o$$

$$120^o$$

$$70^o$$

$$80^o$$

Solution

Question 4

It is an angle

It is a polygon

It is a quadrilateral

It is a shape or a line which is smoothly drawn in a plane having a bent or turns in it.

Solution

Question 5

Circle

Triangle

A line segment

Pentagon

Solution

Question 6

Square

Parallelogram

Trapezium

None of these

Solution

Question 7

$$1 : 2$$

$$1 : 1$$

$$2 : 3$$

$$1 : 3$$

Solution

Question 8

Plane curve

Plane shadow

3-dimension

Line

Solution

Question 9

closed curve

simple curve

open curve

None of the above

Solution

Question 10

twice

itself

multiple points

All of the above

Solution

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