Advertisements
Advertisements
Question
The following table shows points on a number line and their co-ordinates. Decide whether the pair of segments given below the table are congruent or not.
| Point | A | B | C | D | E |
| Co-ordinate | -3 | 5 | 2 | -7 | 9 |
seg BC and seg AD
Advertisements
Solution
The co-ordinates of points B and C are 5 and 2 respectively.
We know that 5 > 2
∴ l(BC) = 5 − 2
∴ l(BC) = 3
The co-ordinates of points A and D are −3 and −7 respectively.
We know that −3 > −7
∴ l(AD) = − 3 − (−7)
∴ l(AD) = − 3 + 7
∴ l(AD) = 4
∴ l(BC) ≠ l(AD)
∴ seg BC and seg AD are not congruent.
APPEARS IN
RELATED QUESTIONS
Point M is the midpoint of seg AB. If AB = 8 then find the length of AM.
Point P is the midpoint of seg CD. If CP = 2.5, find l(CD).
If AB = 5 cm, BP = 2 cm and AP = 3.4 cm, compare the segments.
Write the answers to the following questions with reference in the given figure.
- Write the name of the opposite ray of ray RP.
- Write the intersection set of ray PQ and ray RP.
- Write the union set of ray PQ and ray QR.
-
State the rays of which seg QR is a subset.
-
Write the pair of opposite rays with common end point R.
-
Write any two rays with common end point S.
-
Write the intersection set of ray SP and ray ST.
How many line segments are there in the given line? Name them.
Construct a line segment using ruler and compass.
AB = 7.5 cm
If line PQ || line m, then line segment PQ || m.
Two line segments may intersect at two points.
Name all the line segments in the following figure.
Name the points and then the line segments in the following figure:
Name the points and then the line segments in the following figure:
Which points in the following figure appear to be mid-points of the line segments? When you locate a mid-point, name the two equal line segments formed by it.
Is it possible for the same line segment to have two different lengths?
In the following figure how many line segments are there? Name them.
Consider the following figure of line \[\overleftrightarrow{MN}\]. Say whether the following statement is true or false in the context of the given figure.
O and N are end points of line segment `overline"OP"`.
Consider the following figure of line \[\overleftrightarrow{MN}\]. Say whether the following statement is true or false in the context of the given figure.
M is one of the end points of line segment `overline"QO"`.
A line segment is defined as:
A line segment differs from a line because it:
