Arrange the following steps in correct order while constructing a trapezium PQRS in which `SR||PQ`, PQ=11cm, Qr=9cmPS=9.5cm and `/_Q=70^(@)`
Step 1: With Q as centre, draw, `/_POY=70^(@)`
Step 2: With R as cenre draw `/_QRZ=110^(@)`
Step 3: Draw PQ=11cm
Step4: With P as centre draw an are of radius 9.5 cm whcih meets RZ at point S.
Step 5: With Q as centre draw an arc of radius 9 cm on `vec(QY)` and mark the point as R.
Step 6: Join PS

Options

A. 3,1,2,5,4,6
B. 2,4,1,3,5,6
C. 3,1,5,2,4,6
D. 3,2,5,1,4,6

Answer

To construct the trapezium PQRS with the given specifications, we need to arrange the steps in the correct order. Here’s the step-by-step solution:

### Step-by-Step Solution:

1. **Step 3**: Draw PQ = 11 cm.
- Start by drawing a horizontal line segment PQ that measures 11 cm.

2. **Step 1**: With Q as the center, draw an angle ∠POY = 70°.
- At point Q, use a protractor to measure and draw an angle of 70° upwards from line PQ.

3. **Step 5**: With Q as the center, draw an arc of radius 9 cm on line QY and mark the point as R.
- From point Q, measure 9 cm along the angle you just drew and mark this point as R.

4. **Step 2**: With R as the center, draw an angle ∠QRZ = 110°.
- At point R, use a protractor to measure and draw an angle of 110° downwards from line QR.

5. **Step 4**: With P as the center, draw an arc of radius 9.5 cm which meets RZ at point S.
- From point P, measure 9.5 cm and draw an arc that intersects the line drawn from R at point S.

6. **Step 6**: Join PS.
- Finally, connect points P and S with a straight line to complete the trapezium PQRS.

### Final Order of Steps:
- The correct order of steps is: **3, 1, 5, 2, 4, 6**.