Page 268 - Start Up Mathematics_6

At a Glance

1. In this chapter we have learnt to draw different shapes using the following instruments.
(i) Ruler (ii) Compass (iii) Pair of set squares

2. The following figures can be constructed using a ruler and compass only.
(i) A circle if its radius is known
(ii) A line segment of given length

(iii) A copy of line segment
(iv) A perpendicular to a line through a point
(a) on the line (b) outside the line

(v) A perpendicular bisector of a line segment
3. We have also learnt how a ruler and compass can help us to copy an angle, bisect it and
draw some special angles.

Review Exercises

Multiple ChoiCe Questions

1. A circle can be constructed with the help of a:
(a) ruler (b) compass (c) protractor (d) divider

2. The number of perpendiculars that can be drawn from a point not on the line are:
(a) 1 (b) 2 (c) 3 (d) infinite
3. The perpendicular bisector of a line segment measuring 8 cm cuts it at:

(a) its end point (b) 2 cm from one end
(c) 4 cm from one end (d) 6 cm from one end
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4. An angle of measure 22 ° can be constructed by using a ruler and compass only:
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(a) bisecting 90° twice (b) bisecting 90° once

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(c) doubling 11 ° (d) drawing 20° and increasing its size
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5. The angle which cannot be constructed using a ruler and compass only is:
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(a) 15° (b) 22 ° (c) 40° (d) 105°
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6. A ruler and pair of set squares can be used to draw:

(a) a perpendicular line (b) a parallel line
(c) an angle of 60° (d) all of these

solve Mentally
True or False

1. An angle of 85° cannot be constructed using a ruler and compass.
2. Using the two set squares present in the geometry box, an angle of 75° can be drawn.
3. Concentric circles have equal radii.

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