ICSE Class 8 Maths Geometry Worksheet PDF Download

Worksheet 5

On Constructions and Proof

Assignment 1

Construct the required diagram in the box by following the given steps.

Step 1 - Use a compass to draw a circle with radius 2 cm.

Step 2 - Use a ruler to draw a diameter AB.

Step 3 - Use a compass and ruler to draw perpendicular bisector to diameter AB that intersects the circle at points C and D.

Step 4 - Connect points ACB and D and describe figure ACBD.

Now prove that AC || BD

Assignment 2

Construct the required diagram in the box by following the given steps.

Step 1 - Use a compass to draw a circle with radius 2 cm.

Step 2 - Use a ruler to draw a radius OA.

Step 3 - At centre O construct angle BOA = 120°, such that OB is also a radius of the circle.

Step 4 - At centre O construct angle COB = 120°, such that OC is also a radius of the circle.

Step 5 - Measure the magnitude of angle COA. angle COA = ____°

Now prove that triangles AOB, BOC and COA are congruent to each other.

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