Introduction to Construction of Quadrilaterals

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

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

Q. The trapezium is the quadrilateral that has all the properties of a parallelogram, rectangle, and square.

1. False
2. True

Q. Which of the following option(s) can be used to construct a triangle?

1. 3 angles
2. 2 sides and 1 included angle
3. 3 sides
4. 2 angles and an included side

Q. Can we construct a unique quadrilateral when 4 sides of the quadrilateral are given?

1. Yes, we can.
2. It's never possible.
3. Possible when a diagonal is given.
4. Cannot determine.

Q. The minimum number of measurements required to construct a quadrilateral is .

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

Q. Construction of is possible when, the measurement of 2 sides and an included angle is given.

1. triangle
2. quadrilateral
3. pentagon

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. Trapezium

2. Square

3. Rhombus

4. Parallelogram

Q. Steps for the construction of a quadrilateral ABCD with AB = 4 cm, BC = 6 cm, CD = 5.5 cm, AD= 5 cm and AC = 8 cm is given below.

Choose the correct order.

1. Draw a line segment AC of 8 cm.

2. With 4 cm as radius from A draw an arc.

3. With 5 cm as radius from A draw an arc to the opposite side of AC.

4. With 6 cm as radius cut the arc drawn in step 2. Let that point of intersection be B. Join AB and CB.

5. From C take 5.5 cm as radius and cut the arc drawn in step 4. Let the point of intersection be D. Join AD and CD.

1. 1, 2, 4, 3, 5
2. 1, 2, 3, 4, 5
3. 1, 2, 5, 4, 3
4. 1, 2, 3, 5, 4

Q.

Which of the following geometric apparatus is used to make two line segments meet when their lengths and one point in each line segment is known?

1. Compass

2. Protractor

3. None of these

4. Divider

Q. Minimum number of measurements required for the construction of a unique parallelogram is _____.

1. 5
2. 4
3. 3
4. 6