Trapezium

Q.

In which of the following quadrilaterals, diagonals do not bisect each other

1. Rhombus
2. Parallelogram
3. Trapezium
4. Rectangle

Q. Which of the following statements is incorrect?
(A) Every parallelogram is a quadrilateral.
(B) Every rectangle is a parallelogram.
(C) Every square is a rectangle.
(D) Every trapezium is a parallelogram.

1. A
2. B
3. D
4. C

Q.

$\text{In an isosceles-trapezium, show that the opposite angles are supplementary.}$

Q. Question 163
Find the value of x in the trapezium ABCD given below

Q. If a pair of opposite sides of a trapezium are equal, then, it is a parallelogram. State True or False.

1. False
2. True

Q. What is the sum of opposite angles of an isosceles trapezium?

1. 90 degrees
2. 270 degrees
3. 180 degrees
4. 145 degrees

Q. Diagonals of an isosceles trapezium _____ .

1. are equal
2. are not equal
3. bisect at ${90}^{\circ }$
4. bisect at ${180}^{\circ }$

Q. In a trapezium, only one pair of opposite sides are parallel.

1. True
2. False

Q.

Every kite is a trapezium.

1. True

2. False

Q.

Prove that the base angles of an isosceles trapezium are equal.

Q. Question 154
In trapezium HARE, EP and RP are bisectors of $\angle E$ and $\angle R$, respectively. Find $\angle HAR$ and $\angle EHA$.

Q. A quadrilateral in which at least one pair of opposite sides is parallel is known as

1. Parallelogram
2. Kite
3. Rhombus
4. Trapezium

Q. Question 174
ABCD is a trapezium such that $AB\parallel CD$, $\angle A:\angle D=2:1,\angle B:\angle C=7:5$. Find the angles of the trapezium.

Q. In an isosceles trapezium, _____ sides are equal.

1. parallel
2. non parallel
3. adjacent
4. none of the

Q. A quadrilateral in which at least one pair of opposite sides is parallel is known as

1. Parallelogram
2. Kite
3. Rhombus
4. Trapezium

Q. The two non-parallel sides of isosceles trapezium are .

1. equal
2. non-equal
3. infinite

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

Q.

Draw a quadrilateral ABCD. Mark the mid-points E, F, G, H of the sides AB, BC, CD, DA respectively. Join EF, FG, GH and HE. Verify that the quadrilateral EFGH is a parallelogram.

Q.

Two angles of a quadrilateral are 70° and 130° and the other two angles are equal. Find the measure of these two angles.

Q.

There is a pair of parallel lines which intersects with another pair of parallel lines. The quadrilateral formed is trapezium.

1. True

2. False

Q. The diagonal of quadrilateral bisect each other at right angle. State true or false.

Q.

For a trapezium, the non parallel sides are equal.

1. True

2. False

Q.

In a trapezium $\mathrm{ABCD}$ with $\mathrm{AB}\parallel \mathrm{CD}$ if $\angle A=100°$ then find $\angle \mathrm{D}$.

Q.

Consider the figure shown below. What type of quadrilateral can it be?

1. Trapezium

2. Both Options 1 & 2

3. Parallelogram

4. Kite

Q.

Find the measure of $\angle P$ and $\angle S$ if SP || RQ. (If you find m$\angle R$ , is there more than one method to find m$\angle P$ ?

Q.

All angles of a trapezium are equal. State whether the statement is true (T) or (F) false.

1. True
2. False

Q.

Question 1 (h)
State whether true or false.

(h) All squares are trapeziums.

Q.

In which of the following quadrilaterals diagonals do not bisect each other?

1. rhombus

2. square

3. kite

4. rectangle

Q.

The measure of __________ angle of concave quadrilateral is more than $180°$.

Q. Question 8
Which of the following figures satisfy the following property?
- Only one pair of sides are parallel.