Q7 of 805 Page 17

Using ruler and compasses only, draw a right angle.

The steps of the required construction are:

1) Draw a line segment AB. Keeping A as the center and any radius draw a semicircle, intersecting AB at point C.



2) Keeping C as the center and radius AC, draw an arc, cutting the semicircle at point D. Keeping D as the center and radius AC, draw an arc, cutting the semicircle at point E.



3) Taking D as the center draw an arc of any radius greater than . Now, Taking E as the center and the keeping the same radius, draw another arc, intersecting the previous arc at F. Join AF.



4) ∠BAF=90°.


More from this chapter

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5

Draw a linear pair of angles. Bisect each of the two angles. Verify that the two bisecting rays are perpendicular to each other.

 6

Draw a pair of vertically opposite angles. Bisect each of the two angles. Verify that the bisecting rays are in the same line.

 8

Using ruler and compasses only, draw an angle of measure 135°.

 9

Using a protractor, draw an angle of measure 72°. With this angle as given, draw angles of measure 36° and 54°.