Page 279 - ICSE Math 8

Self-Testing Exercise 4

GEOMETRY
B U
1. In the given figure, CLUB is a parallelogram. Find the measures of the x y
angles x, y and z.
35°
C z L 55° T

2. If the four angles of a quadrilateral are in the ratio 2 : 3 : 4 : 3, find all the angles of the quadrilateral.
3. Construct a quadrilateral PQRS, in which PQ = 4 cm, QR = 4.8 cm, RS = 5 cm and PS = 5.4 cm and
∠Q = 90°.

4. Draw an equilateral triangle with side 7 cm. Draw its line(s) of symmetry.

5. Complete the following table.

Reflection in
Point
x-axis y-axis origin
(–3, –5) –––––– –––––– ––––––

(0, 7) –––––– –––––– ––––––
(–2, 3) –––––– –––––– ––––––

(4, –5) –––––– –––––– ––––––

6. Find the coordinates of the point obtained on rotating (–3, –4) through 90° about the origin in clockwise
direction.

7. Draw a line segment AB of length 6 cm. Take a point C below AB and draw a perpendicular from C on
AB.
8. Plot the following points on a graph paper.
(a) (–2, 3) (b) (5, –3) (c) (4, 6) (d) (–2, –5)

9. A solid has 20 faces and 32 edges. How many vertices will it have?

10. Find the order of rotational symmetry of the following figures.
(a) (b)

O
O

11. In a parallelogram ABCD, D and E are the mid-points of sides AD and BC respectively. Prove that EDFB
is a parallelogram.

12. Construct a rhombus PQRS with PQ = 7.5 cm and ∠A = 70°.

13. Find the length of a tangent drawn to a circle of radius 10 cm from a point 26 cm from the centre.

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