Construction of Trapezium

Q. Which property is used in the construction of a trapezium given the lengths of 3 sides and one of the angles?

1. One pair of opposite sides are parallel
2. Co-interior angles are supplementary
3. Diagonals of a trapezium bisect each other
4. A trapezium can be inscribed in a circle

Q. In an isosceles trapezium, if one angle is 58 deg, find the measure of the angle opposite to it.

1. 32 deg
2. 58 deg
3. 122 deg
4. 148 deg

Q.

A trapezium can be constructed by

1. 3

2. 4

3. 1

4. 2

Q.

The minimum number of measurements required to construct a rectangle are ______.

1. four

2. two

3. one

4. three

Q. Construct a trapezium $ABCD$. where $AB||CD,AD=BC=3.2cm,AB=6.4cm$ and $CD=9.6cm$. Find the measure of $\angle B$ and $\angle A$.


[3 Marks]

Q.

Explain how this figure is a trapezium. Which of its two sides are parallel?

Q. What is the minimum number of measurements we need to construct a trapezium?

1. 1
2. 2
3. 3
4. 4

Q. Which property is used in the construction of a trapezium given the lengths of 3 sides and one of the angles?

1. One pair of opposite sides are parallel
2. A trapezium can be inscribed in a circle
3. Diagonals of a trapezium bisect each other
4. Co-interior angles are supplementary

Q. In a trapezium ABCD if E and F be the mid point of the diagonals AC and BD respectively, then EF =

1. $\frac{1}{2}AB$
2. $\frac{1}{2}CD$
3. $\frac{1}{2}(AB+CD)$
4. $\frac{1}{2}(AB-CD)$

Q. If ABCD is an isosceles trapezium, $\angle$C is equal to _________.

1. $\angle$B
2. ${90}^o$
3. $\angle$D
4. $\angle$A