SSS2 Maths Quiz 13.2 – Tangents from an external point

Draw a rectangle measuring 9 cm by 6 cm. Construct a rhombus, equal in area to the rectangle, with sides of 8 cm. Measure the shorter diagonal of the rhombus.

Draw a rectangle of altitude 4 cm with a base of length 6 cm. On the same base, construct a parallelogram of equal area, with an angle of 60 degrees. Measure the length of the diagonals of the parallelogram.

Draw a parallelogram with sides of 5 cm and 7 cm and an angle of 75 degrees. Construct a rhombus with sides of 6 cm, equal in area to the parallelogram. Measure the shorter diagonal of the rhombus.

Construct a scalene triangle with sides of length 5, 6, and 7 cm. Construct a right-angled triangle equal in area to the scalene triangle such that one of the sides containing the right angle is 6 cm long. Measure the hypotenuse of the right-angled triangle.

Draw a triangle ABC with AB = 8cm, BC = 7cm, and AC = 6cm. Construct a rectangle equal in area to triangle ABC, having one side of 5cm. Measure the other side of the rectangle

Construct a rhombus PQRS with diagonals PR = 10cm and QS = 6cm. Construct a square equal in area to the rhombus PQRS. Measure the side of the square.

Draw a circle with center O and radius 4cm. Mark a point P, 7cm away from O. Construct the tangents from P to the circle. Measure the length of each tangent