Practical Geome...

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

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:
 

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