Practical Geome...

Which of the following steps is incorrect for constructing a quadrilateral ABCD in which AB = 5.1 cm, BC = 4.6 cm, CD = 3.9 cm, AD = 4.0 cm and diagonal AC = 6 cm?

Step 1: Draw AB = 5.1 cm. With A as centre and radius equal to 6 cm, draw an arc.
Step 2: With B as centre and radius equal to 4.6 cm, draw another arc, cutting the previous arc at C and join BC.
Step 3: With A as centre and radius equal to 4.0 cm, draw an arc.
Step 4: With C as centre and radius equal to 3.8 cm, draw another arc, cutting the previous arc at D.Join AD and CD.

Then, ABCD is the required quadrilateral.

To construct a unique parallelogram, the minimum number of measurements required is

Arrange the following steps of construction in the correct order while constructing a rectangle PQRS, given PR = 5.8 cm and angle between the diagonals equal to 60°.

1. From O, draw arcs of radius equal to 2.9 cm to intersect OA at S and OB at D.
2. Draw the perpendicular bisector of PR and find the mid-point of PR. Let the perpendicular bisectors intersect at O.
3. Join PS, RS, PQ and QR.
4. Through O, construct a line AOB such that ∠AOR = 60°.
5. Draw a line segment PR = 5.8 cm.

Then, PQRS is the required rectangle

Arrange the following steps of construction in the correct order while constructing a rhombus of side 3.2 cm with one of its angles equal to 65°.

Steps of Construction:

(1) Join PS.
(2) Construct ∠RQX = 115° and ∠QRY = 65°.
(3) Draw QR = 3.2 cm.
(4) Draw QP = 3.2 cm along QX and RS = 3.2 cm along RY.

If LM || NO, MN || LO and MN ⊥ ON in a quadrilateral LMNO in which side MN = 4 cm and diagonal MO = 6 cm, then which of the following figures can be constructed?

Given below are the steps of construction of a rhombus ABCD with side 9 cm and a diagonal 12 cm. Which of the following is an INCORRECT step?

Steps of Construction:
Step 1. Draw 12 cm.
Step 2. With A as centre and 9 cm as radius, draw two arcs on either side of AC.
Step 3. With C as centre and the same radius, draw two arcs on either side of AC to cut the arcs of step 2 at B and D, respectively.
Step 4. Join BD, AB and CD.

Which of the following is necessary to draw a parallelogram?

Which of the following statements is true about a triangle PQR, where PQ = 7 cm, QR = 5 cm and RP = 15?

Which of the following parts is/are necessary to construct a quadrilateral PQRS?

Which of the following properties of a rhombus will not be helpful in its construction?

Arrange the steps of construction while constructing a quadrilateral given MO = 6 cm, OR = 4.5 cm,
M = 60° O = 105° R = 105°

Step 1: Also construct an angle 105° at R and produce the side RE.
Step 2: Construct another angle of 60° at point M and produce the side ME. Both sides ME and RE intersect at E.
Step 3: It is the required quadrilateral.
Step 4: Draw a line segment MO = 6 cm.
Step 5: Construct O = 105° and taking radius 4.5 cm, draw an arc taking O as centre, which intersects at R.

Match the following:

Arrange the steps of construction while constructing a quadrilateral.

Step 1: Draw a line segment PL = 4 cm.
Step 2: It is the required quadrilateral .
Step 3: Construct A = 110° at A and produce the side AN which intersects PN at N.
Step 4: Construct angle of 75° at L and with L as centre, draw an arc of radius 6 cm, which intersects at A.
Step 5: Construct angle of 90° at P and produce the side PN.

Which of the following cases is incorrect in terms of construction of a kite?

Which of the following steps is/are incorrect while constructing a parallelogram, given HE = 5 cm, EA = 6 cm, R = 85°?

Step 1: Draw a line segment HE = 5 cm.
Step 2: Construct H = 95° and draw an arc of radius 6 cm with centre H, which intersects at R.
Step 3: Join RH.
Step 4: Join RA
Step 5: Draw R = E = 85° and draw an arc of radius 6 cm with E as centre which intersects at A.
Step 6: It is the required parallelogram.