Maths 5 Mark Question

Given: AB= 7.5cm and CD = 2.5cm Draw AB and CD
Draw a line/ and take point Eon it. Now, take a divider and open it such that the ends of both its arms are at A and B. Then, we lift the divider and place its one end at E and other end (say F) on the line 1, as shown in the figure. Again, lift the divider and place its one end at F and another end (G) on the line 1, opposite to E. Now, reset the divider in such a way that the ends of its one hand are at C and the end of other hand is at D. Then, we lift the divider and place its one end at G and another end (say H) on the line 1, opposite to E as shown in the figure. Again, lift the divider and place its one end at H and other end (say I) on the line 1, opposite to E as shown in the figure. Again, lift the divider and place its one end at I and another end (say J) on the line 1, opposite to E as shown in the figure. EG is required line segment, whose length is equal to (2AB + 3CD).

We draw a line l and take two points C and D on it.
Take a divider and open it such that its end of both arms is at C and D.
Then, we lift the divider and place its one end at D and other end on the line l opposite to C as shown in the figure.
Let this point be A.
Lift the divider again and place its one end at A and other end on the line 1 opposite to C.
Name this point as E.
Here CD = DE = AE
Therefore, CE = CD + DE + AE
= CD + CD + CD (As, CD ± DE = AE)
or, CE = 3CD

	Column A		Column B
i	Line segment has	c	two end-point
ii	Two segments may intersect	a	at a point
iii	Two segments are congruent	b	if they have equal lengths
iv	Line segment is	d	portion of a line

Solution:

1. A line segment is a part of a line that is bounded by two distinct end points.

2. Two line segments will either not intersect at all or intersect at one point. It can never intersect at more than one point.

3. Line segments are congruent if they have the same lengths. If AB = 6cm and CD = 6cm Then, AB and CD are congruent.
4. A line segment is a part of a line that is bounded by two distinct end points.