Page 244 - Ganit Kaushal

Chapter Test

I. Multiple Choice Questions (MCQs)
1. An instrument in the geometry box having the shape of an isosceles triangle is a
(a) set-square 30° – 90° – 60° (b) protractor

(c) set-square 45° – 90° – 45° (d) compass
2. A triangular instrument with two perpendicular sides, where one side is twice the other, is
(a) a ruler (b) a set-square with 30° – 90° – 60°
(c) a set-square with 45° – 90° – 45° (d) none of these
3. Angles can be measured by a
(a) ruler (b) protractor (c) divider (d) compass

4. Any given line segment can be bisected using
(a) Ruler and compass (b) Two set-squares
(c) Protractor (d) Divider and ruler

II. Fill in the blanks.
1. The maximum measure of an angle that can be drawn using a protractor is _______.
2. The distance between two opposite sides of a rectangle is _______ throughout.

3. The number of perpendicular bisectors of a line segment is _______.
4. The perpendicular bisector of any diameter of a circle passes through its _______.
5. The measures of the angles of the set square with all unequal sides are _______, _______ and _______.

III. State whether the following statements are True (T) or False (F).
1. A circle can be drawn by only using a scale.

2. Set-squares can be used to draw an angle bisector of a given angle.
3. We can draw one and only one perpendicular bisector of a given line segment.
4. We can draw a four-sided figure with all angles 90° and different opposite sides.
5. Any line segment passing through the centre of a circle with end points on the boundary is a diameter.

IV. Solve the following questions.
1. Draw two circles of radii 3 cm and 5 cm, using the same centre.

2. Draw two circles of radii 3 cm and 5 cm such that they touch each other internally. Measure the distance
between their centres. Is it related to the radii of circles?
3. Draw two circles having centres at A and B respectively and of equal radii of 4 cm, such that each
one of them passes through the centre of the other.
4. Draw a rectangle whose one side is 3.5 cm and the diagonal is 8 cm. After drawing, check if it satisfies
both the properties of a rectangle.
5. Construct a rectangle in which one of the diagonals divides the opposite angles into 55° and 35°. After
drawing, check if it satisfies both the properties of a rectangle.

242