Plane geometry

Question 1 of 10

Two similar triangles have corresponding sides 4 cm and 6 cm. If the smaller has area 32 cm², find the area of the larger.

Question 2 of 10

A tangent and a radius meet at the point of contact at

Question 3 of 10

The angle between a tangent and a chord at the point of contact is 64°. Find the angle in the alternate segment.

Question 4 of 10

ABCD is a parallelogram with ∠A = 3x + 10 and ∠B = 2x + 20. Find x.

Question 5 of 10

In triangle PQR, PQ = PR and ∠QPR = 40°. Find ∠PQR.

Question 6 of 10

The angles of a triangle are in the ratio 1 : 2 : 3. What is the largest angle?

Question 7 of 10

Two similar triangles have corresponding sides 3 cm and 9 cm. What is the ratio of their areas?

Question 8 of 10

In a cyclic quadrilateral PQRS, ∠P = 3x and ∠R = 2x + 20°. Find x.

Question 9 of 10

The sum of the interior angles of a hexagon is

Question 10 of 10

O is the centre of a circle. ∠AOB = 2y and ∠ACB = 50° where C is on the major arc. Find y.