Construction of Perpendicular from a Point on a Line Using a Compass

Q. Draw a line AB. Using a compass, draw a line perpendicular to AB at the point B.

Q. Draw line AB. Take point M anywhere outside the line. Using a compass and ruler, draw a line MN perpendicular to line AB.

Q. Arrange the steps of construction of a perpendicular to a line at a point on the line using a compass in correct order:
(A). Draw line MN and take point K anywhere on the line.
(B). Place the compass point at A and, taking a convenient distance greater than half the length of AB, draw AN ARC on one side of the line.
(C). Place the compass point on point K. Draw TWO ARCS on either side of point K to cut the line MN at equal distances from K. Name the points of intersection A and B respectively.
(D). Draw a line passing through points K and T.
(E). Place the compass point at B and using the same distance, draw ANOTHER ARC to intersect the first one at T.
(F). The line KT is perpendicular to line MN at K.

1. A, B, C, D, E, F
2. A, C, D, B, E, F
3. A, C, B, E, D, F
4. A, D, C, F, E, B

Q.

AB is a line segment. Construct PQ if PQ is twice the length of AB. [3 MARKS]

Q.

Draw a line 8.4 cm and divide it into four parts using a compass. [4 MARKS]

Q.

Which is the easiest and most accurate method to copy a given line segment AB?

1. Tracing it using a transparent paper

2. Using a ruler

3. Using a compass and ruler

4. Using a set square of $({30}^{\circ }-{60}^{\circ }-{90}^{\circ })$

Q. Draw a line segment of length 9.5 cm and construct its perpendicular bisector.
[3 marks]

Q. Which device will you use to construct a proper circle?

1. Protractor
2. Scale
3. Compass
4. Divider

Q. Which of the following angles can NOT be made using a compass?

1. 60 degrees
2. 22.5 degrees
3. 20 degrees
4. 45 degrees

Q. Draw a line segment AB and by ruler and compasses, obtain a line segment of length $\frac{3}{4}$ (AB).

Q. Draw a circle with centre at point O and radius 5 cm. Draw its chord AB, draw the perpendicular bisector of line segment AB. Does it pass through the centre of the circle?

Q. Draw a line segment AB and bisect it. Bisect one of the equal parts to obtain a line segment of length $\frac{1}{2}$ (AB).

Q. Draw a line MN. Take a point L anywhere on it. Through point L, draw a perpendicular to line MN (using a compass)

Q. Compass and ____ are necessary tools to construct a circle and its diameter.

1. Ruler
2. Protractor
3. Set square
4. Divider

Q. Which of the following are found in a geometry box?

1. Ruler
2. Protractor
3. Set square
4. Compass
5. Divider
6. Angle
7. Graph
8. Door
9. Line