Constrcution of a Perpendicular to a Line from an External Point.

Q.

In each of the following, draw perpendicular through point P to the line segment AB :

Q.

Study the diagram. The line l is perpendicular to line m.

(a) Is CE = EG?

(b) Does PE bisect CG?

(c) Identify any two line segments for which PE is the perpendicular bisector.

(d) Are these true?

(i) AC > FG.

(ii) CD = GH.

(iii) BC < EH.

Q.

In the following image:

To draw perpendicular from P on AB, the next step will be:

1. Join P to the mid-point of AB.

2. Join AP and BP and then join P to the mid-point of AB.

3. Draw arcs of equal length from A and B and let them intersect.

4. Join AP and BP.

Q.

If number of end points in a line, ray and a line segment are represented by X, Y and Z, what is the value of X + Y + Z? [2 MARKS]

Q.

Let be a line segment and let C be the midpoint of. Extend to D such that B lies between A and D. Prove that AD + BD = 2CD.

Q. Draw a line segment AB=5.5 cm. Mark a point P, such that PA=6 cm and PB=4.8 cm. From the point P draw perpendicular to AB.

Q. Draw a line segment AB=5.5 cm. Mark a point P, such that PA=6 cm and PB=4.8 cm. From the point P draw perpendicular to AB.

Q. A perpendicular line bisects the original line segment.

1. True
2. False

Q. We can draw infinite number of perpendicular lines for a line segment.

1. False
2. True

Q. If a line segment AB bisects a line segment CD, then AB and CD are perpendicular to each other.

1. False
2. True

Q.

As shown in above fig. AB is a straight line.
If a perpendicular is drawn from point 'P' to 'AB' then that perpendicular will always divide AB into two equal parts

1. True

2. False