Introduction to Construction of Quadrilaterals

Q.

A quadrilateral can be constructed uniquely if the length of its _______ sides and a diagonal is given.

1. Three

2. One

3. Four

4. Two

Q.

At least 3 measurements are needed to construct a triangle. State true or false.

1. False

2. True

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

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

Q.

To construct an equilateral triangle, the minimum requirement is:

1. Measure of two sides

2. Measure of one angle

3. Measure of one side

4. Measure of one side and one angle

Q.

State True or False. All Squares Are Trapeziums

1. True
2. False

Q. The construction of a triangle is not possible when

1. its perimeter and two base angles are given
2. its base, a base angle and perimeter are given
3. its base, a base angle and the difference of other two sides are given
4. its base, a base angle and the sum of other two sides are given

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

1. triangle
2. quadrilateral
3. pentagon

Q.

Is it possible to form a quadrilateral with 4 collinear points?

Q. Since a quadrilateral has 4 sides, we can construct a unique quadrilateral if 4 sides are given. State true or false.

1. True
2. False

Q.

We can draw a triangle if we know its perimeter and one base angle.

Q. Steps for the construction of a rhombus of diagonals 6.4 cm and 5.2 cm are given below.

Choose the correct order.

1. Draw a line segment AC = 5.2 cm

2.Join points A, B; points B, C; points C, D and points A, D.

3. With O as centre and radius equal to half of BD(3.2 cm) draw arcs on either side of AC on the perpendicular bisector. Let them intersect at B and D.

4.Draw perpendicular bisector of AC. Let it intersect AC at O.

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

Q. ABCD is a quadrilateral and the measure of AB, BC , CD and $\angle ABC$ are known. Which of the following parameter required for the construction of a unique quadrilateral ABCD ?

1. $\angle CDA$
2. $\angle BCA$
3. $\angle BCD$
4. $AC$

Q.

At least 3 measurements are needed to construct a triangle.

1. False

2. True

Q. How many minimum measurements are required to construct a unique quadrilateral?

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

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 diagonal of a square shaped frame ABCD measures 6 cm. Find the length OA.

Q. Match the quadrilaterals with their required parameters to construct.

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

Q.

We cannot construct a quadrilateral PQRS with PQ = 6 cm, QR = 5 cm, = 150^o and the measurement of

1. 80^o

2. 70^o

3. 140^o

4. 100^o

Q.

It is possible to draw a triangle if its base, an angle and the difference of the other two sides is given.

1. True

2. False

Q. A minimum of five measurements are required to construct a quadrilateral.

1. False
2. True

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. A minimum of five measurements are required to construct a quadrilateral.

1. True
2. False

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. A quadrilateral is made of 10 elements, out of which we need just _____ elements to construct it.

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

Q. A minimum of five measurements are required to construct a quadrilateral.

1. True
2. False

Q. How many minimum measurements are required to construct a unique quadrilateral?

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

Q.

At least 3 measurements are needed to construct a triangle.

1. True

2. False

Q. Construct a quadrilateral PQRS in which PQ = 5 cm, QR = 6.5 cm, ∠P = ∠R = 100° and ∠S = 75°.

Q. How many elements, at least, should we know to construct a quadrilateral ?

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

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.