Properties of Trapezium

Q.

Opposite angles of a parallelogram are $(3x-2{)}^{\circ }$ and $(50-x{)}^{\circ }$. Find the measure of each angle of the parallelogram.

Q. A square is a rectangle whose adjacent sides are equal in length. State whether the statement is true or false.

1. True
2. False

Q. Which of the following is true about a trapezium?

1. It has a pair of diagonals which are equal.
2. It has a pair of opposite sides which are parallel.
3. All the angles are equal.
4. All the sides are equal.

Q.

The measure of two adjacent angle of a parallelogram are in the ratio $3:2$ to find the measure of each of the angle of the parallelogram

Q.

In a trapezium PQRS, PQ || RS; and∠P = 70° and ∠Q = 80°. Calculate the measure of ∠S and ∠R.

Q. A tender is released by a company for making 300 carrom boards. For this, a carpenter submitted a sample but the company rejected his sample because the angle between the adjacent sides were in the ratio 1:2:3:4.

Ques. What should be real angle between adjacent sides

Q.

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.

1. Trapezium

2. Rectangle

3. Parallelogram

4. Square

Q.

The measure of the angle of a quadrilateral are in the ratio 2:3:2:3. What type of quadrilateral is it?

Q.

Three adjacent angles of a quadrilateral are in ratio 4:6:3 . If the fourth angle is 100 degree . Find the other three angles of the quadrilaterals.

Can I get the answer with correct soloution please.

my answer is 449.98

Q.

In the adjoining figure, ABCD is a quadrilateral such that ∠D + ∠C = 100°. The bisectors of ∠A and ∠B meet at ∠P. Determine ∠APB.

Q.

Name the quadrilateral formed in which two pairs of adjacent sides are of the same length.

Q.

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.

1. 

2. 

3. 

4. 

Q.

I construct quadrilateral with 3 sides and 2 included angles being ${75}^{\circ }$ and ${105}^{\circ }$ respectively and no sides are equal. What is the type of quadrilateral I am constructing?

1. Parallelogram

2. Trapezium

3. None of these

4. Square

Q. Question 27
In the trapezium ABCD, the measure of $\angle D$ is
a) ${55}^{\circ }$
b) ${115}^{\circ }$
c) ${135}^{\circ }$
d) ${125}^{\circ }$

Q. What is the name of that quadrilateral which has at least one pair of opposite sides equal?

Q. In the diagram, ABD and BCD are isosceles triangles, where $AB=BC=BD$. What type of a quadrilateral is ABCD?
[2 Marks]

Q.

A trapezium can be divided into a parallelogram and a ___

1. Square

2. Quadrilateral

3. Triangle

4. Rectangle

Q.

If the lengths of three sides of an isosceles trapezium are 10 cm, 5 cm and 4 cm, its perimeter cannot be

1. 23 cm

2. 25 cm

3. 29 cm

4. 31 cm

Q. Which of the properties listed below holds good for trapezium?

1. 1 pair of parallel sides.
2. Sum of opposite angles is 180°.
3. All sides equal.
4. Sum of all interior angles is 360°.

Q. One pair of the opposite angles of a cyclic quadrilateral is congruent. Write the measures of these angles.

Q.

Look at the following matchstick pattern

Construct a table showing the number of matchsticks against the number of trapeziums and write down the generalised statement for $n$ trapeziums.

Q. Question 92
State whether the statements are True or False.
All angles of a trapezium are equal.

Q. In the figure, m∠B = 85° and m∠C = 105°. Find the measures of ∠A and ∠D.

Q. In quadrilateral LMNP, m∠L = m∠M = m∠N = 90°. Find m∠P. What type of quadrilateral is □LMNP?

Q.

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.

1. Parallelogram

2. Rectangle

3. Square

4. Trapezium

Q.

Statement 1: A parallelogram is a trapezium.
Statement 2: A trapezium has one pair of opposite sides parallel. A parallelogram has both pairs of opposite sides parallel.

1. Statement 1 is true, statement 2 is false

2. Both statements are true, statement 2 is the correct explanation of statement 1

3. Both statements are false
4. Statement 1 is false, statement 2 is true

Q.

A square satisfies all the properties of a

1. Quadrilateral

2. Trapezium

3. Parallelogram

4. Rhombus

Q. A quadrilateral with only one pair of opposite sides parallel is called a trapezium.

1. True
2. False

Q. A kite is quadrilateral with two pairs of adjacent sides equal in length.

1. True
2. False