Page 275 - ICSE Math 7

Self-Testing Exercise 4

GEOMETRY

1. Find the complement and supplement of the angle 25°30'24".

D
2. In the adjoining figure, find ∠AOC. C 140° – x
x
A O B
3. Find the obtuse angle between the hour and minute hands of a clock at 5 o’clock.

x
4. In the adjoining figure, find x, y and z. 55° z
y

5. Construct a right-angled triangle whose one side is 6 cm and hypotenuse is 10 cm.
6. Find the value of x in the given figures.
X
A
x – 5°
(a) (b)

x 2x
B C x + 5°
Y 60° Z
7. Construct an isosceles triangle XYZ with XY = XZ = 4 cm and ∠X = 80°.

8. Draw a rough sketch of a rectangle ABCD and draw its line(s) of symmetry.
9. Write the coordinates of the reflection of (3, –5) in the x-axis and y-axis.

A

10. In the adjoining figure, prove that:
(a) ∆ABC ≅ ∆ADC B D

(b) ∠BAC = ∠DAC

C
E
11. Find the number of sides of a polygon whose sum of interior angles is 1620°. A

12. In the adjoining figure, DA ⊥ BE and DC ⊥ BF. If ∠ABC = 45°, D
what is the measure of ∠ADC?
45°
B
C F
13. Two angles of a triangle are 75° and 48°, find the measure of the third angle.

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