Trapezium and Its Property

Q.

If diagonals of a quadrilateral are equal, then it will be a rectangle.

1. True

2. False

Q.

If three sides of a quadrilateral are equal and the fourth is not equal to the first three, then which of these can the quadrilateral possibly be?

1. Trapezium

2. Kite

3. Parallelogram

4. square

Q.

During maths lab activity, teacher gives four sticks of lengths 6 cm, 6 cm, 4 cm and 4 cm to each student to make different types of quadrilateral.

She asks following questions from the students:
Q. Write the name of quadrilateral that can be formed with these sticks.

1. Kite, rectangle, parallelogram
2. Kite, rectangle, rhombus
3. Parallelogram, rectangle , trapezium
4. Square, rectangle, kite

Q.

All trapeziums are parallelograms, but all parallelograms are not trapeziums.

1. True

2. False

Q.
ABCD is a trapezium in which AB is parallel to DC. If $\angle A$ = $\angle B$ = ${40}^{\circ }$, what are the measures of the other two angles?

1. $\angle BCD$= ${140}^{\circ }$ and $\angle ADC$ = ${40}^{\circ }$
2. $\angle BCD$= ${140}^{\circ }$ and $\angle ADC$ = ${140}^{\circ }$
3. $\angle BCD$= ${40}^{\circ }$ and $\angle ADC$ = ${140}^{\circ }$
4. $\angle BCD$= ${40}^{\circ }$ and $\angle ADC$ = ${40}^{\circ }$

Q.

If the ratio of angles (taken in order) of a quadrilateral is 1:2:3:4, then it could be a

1. trapezium

2. parallelogram

3. cyclic quadrilateral

4. kite

Q. The angles P, Q, R and S of a trapezium PQRS are in the ratio of 1:3:7:9. Then:

1. $\angle P$ = ${81}^{\circ }$, $\angle Q$ = ${45}^{\circ }$, $\angle R$ = ${126}^{\circ }$ and $\angle S$ = ${162}^{\circ }$
2. $\angle P$ = ${18}^{\circ }$, $\angle Q$ = ${54}^{\circ }$, $\angle R$ = ${126}^{\circ }$ and $\angle S$ = ${162}^{\circ }$
3. $\angle P$ = ${18}^{\circ }$, $\angle Q$ = ${54}^{\circ }$, $\angle R$ = ${216}^{\circ }$ and $\angle S$ = ${62}^{\circ }$
4. $\angle P$ = $8^{\circ }$, $\angle Q$ = ${94}^{\circ }$, $\angle R$ = ${26}^{\circ }$ and $\angle S$ = ${62}^{\circ }$

Q. A line EF parallel to the base, divides the trapezoid into two trapezoids of equal perimeters. Calculate the ratio in which each of the non-parallel sides is divided.

1. 1:3
2. 4:1
3. 3:5
4. 2:3

Q.

Choose the correct statement

1. Diagonals of a square are not equal

2. A trapezoid is a parallelogram

3. If one pair of opposite sides of a quadrilateral are parallel the quadrilateral is called a parallelogram

4. The diagonals of a parallelogram are congruent, if it is a rectangle

Q. If in a kite ABCD, AB=3 cm and BC=5 cm, then AD + CD = .

1. 3 cm
2. 5 cm
3. 8 cm
4. 10 cm

Q.

Quadrilateral in which only one pair of opposite sides is parallel is known as__

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

1. True
2. False

Q.

A trapezium is a parallelogram.

1. True

2. False