Construction of Quadrilateral (4 Sides and 1 Diagonal)

Q.

Construct a quadrilateral ABCD of which AB = 3 cm, BC = 5 cm, AC = 4 cm, AD = 5 cm, BD = 5 cm. Then construct a triangle of area equal to the area of ABCD. Find the dimensions of the triangle.

1. 12, 3, 13.5

2. 9, 4, 8

3. 4, 5, 7

4. 9, 11, 15.5

Q.

If we have the measure of 4 sides of a quadrilateral and measure of one of its diagonals, then which of the following statements is correct?

1. The quadrilateral will always be a square.
2. None of these.

3. We can construct a distinct quadrilateral.

4. We cannot construct a distinct quadrilateral.

Q.

Construct a quadrilateral ABCD of which AB = 4 cm, BC = 8 cm, CD = 6 cm, AD = 4 cm, AC = 9.5 cm. Then construct a triangle of area equal to the area of ABCD. Find the dimensions of the triangle [Use Construction]

1. (4, 11, 12) cm

2. (13, 13, 13) cm

3. (15, 6, 9) cm

4. (6, 6, 6) cm

Q.

Four measurements are sufficient to draw a unique quadrilateral. State with true or false.

1. True

2. False

Q. A quadrilateral with only one pair of opposite sides parallel is called a trapezium.

1. True
2. False

Q.

The minimum number of triangles that can be kept together to construct a quadrilateral is _

1. 1

2. 2

3. 3

4. 4

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. Measurements of which of the following parts would be sufficient to construct a quadrilateral?

1. 3 angles and their 2 included sides
2. 3 sides only
3. 2 diagonals only
4. 5 sides and 3 diagonals

Q.

If you have to draw the quadrilateral ABCD given below, what all measurements will you need to draw the quadrilateral ABCD? The measurements are given in following options which of the options can help to draw ABCD?

1. AB, BC, CD, AC, BD

2. AB, BC, CD, DA, BD

3. AB, BC, CD, DA

4. Both options B & C

Q.

In the construction of quadrilateral ABCD, AB, BC, CD, AC and BD are given. Which of the following triangles cannot be drawn as the first step of construction?

1. ABC

2. ADC

3. BCD

4. ABD

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

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

Q. In a quadrilateral ABCD, AB = 7 cm, BC = 5 cm, AC = 9 cm, AD = 6 cm, CD = 2 cm. Which of the following options is true about the construction of a quadrilateral ABCD?

1. It is not possible to draw the quadrilateral since AD + DC < AC
2. It is possible to draw the quadrilateral since AD + DC < AC
3. It is possible to draw the quadrilateral
4. None of these

Q.

If a quadrilateral with 4 sides and a diagonal is given, which of the following conditions is used in the construction?

1. SSS

2. SAS

3. None of these

4. ASA

Q. Measurements of which of the following parts would be sufficient to construct a quadrilateral?

1. 2 diagonals only
2. 3 angles and their 2 included sides
3. 5 sides and 3 diagonals
4. 3 sides only

Q.

Draw a rough sketch of a quadrilateral KLMN. State,

Two pairs of opposite sides

Q. In a quadrilateral ABCD, AB = 7 cm, BC = 5 cm, AC = 9 cm, AD = 6 cm, CD = 2 cm. Which of the following options is true about the construction of a quadrilateral ABCD?

1. It is possible to draw the quadrilateral
2. It is not possible to draw the quadrilateral since AD + DC < AC
3. It is possible to draw the quadrilateral since AD + DC < AC
4. None of these