Page 270 - Start Up Mathematics_6

Some NCERT Textbook Questions

1. With the same centre O, draw two circles of radii 4 cm and 2.5 cm.
2. Given AB of length 3.9 cm, construct PQ such that the length of PQ is twice that of AB.
Verify by measurement.

P X Q
(Hint: Construct PX such that length of PX = length of AB; then cut off XQ such that XQ
also has the length of AB.)
3. Draw a line l and a point X on it. Through X, draw a line segment XY perpendicular to l.

4. Draw an angle of measure 45° and bisect it.

Exemplar Problems

1. Which of the following angles cannot be constructed using a ruler and compass?

(a) 75° (b) 15° (c) 135° (d) 85°
2. Using the set squares 30° - 60° - 90° and 45° - 45° - 90°, we can draw an angle of 75°.
(True/False)
3. Infinitely many perpendiculars can be drawn to a given ray. (True/False)

4. The number of scales in a protractor for measuring the angles is _________________.
B

5. Draw a line segment equal to the sum of two line segments given in figure.

A
C D

6. Draw an angle of 80° using a protractor and divide it into four equal parts, using ruler and
compass. Check your construction by measurement.

D
P
7. Draw an angle equal to the difference
of two angles given in figure.

E F R Q
n
P

8. Draw the images P', Q' and R' of the points P, Q and R respectively
in the line n. Join P' Q' and Q' R' to form an angle P' Q' R'.
Measure ∠PQR and ∠P' Q' R'. Are the two angles equal? Q

R

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