Construct a Quadrilateral PQRS where PQ = 3.6 cm QR = 5.5 cm RS = 5cm angle Q = 125 degree and Angle R

January 2023 2 6 Report

Construct a Quadrilateral PQRS where PQ = 3.6 cm QR = 5.5 cm RS = 5cm angle Q = 125 degree and Angle R equal to 80 degree

Step 1. Draw a line segment PQ=3.5 cm.

Step 2. With P as centre and radius =4.5 cm, draw an arc.

Step 3. With Q as centre and radius =6.5 cm, draw an arc to cut the arc in the previous step at point S

Step 4. Join PS and QS

Step 5. With S as centre and radius =5 cm, draw an arc.

Step 3. With Q as centre and radius =4 cm, draw an arc to cut the arc in the previous step at point R

Step 4. Join SR and QR

Hence, required quadrilateral PQRS is constructed.

Answer:

Step 1. Draw a line segment PQ=3.5 cm.
Step 2. With P as centre and radius =4.5 cm, draw an arc.
Step 3. With Q as centre and radius =6.5 cm, draw an arc to cut the arc in the previous step at point S
Step 4. Join PS and QS
Step 5. With S as centre and radius =5 cm, draw an arc.
Step 3. With Q as centre and radius =4 cm, draw an arc to cut the arc in the previous step at point R
Step 4. Join SR and QR

Hence, required quadrilateral PQRS is constructed.