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 P is the midpoint of seg CD. If CP = 2.5, find l(CD).
How many lines are determined by three distinct points?
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 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?
Is it possible for the same angle to have two different measures?
Will the measure of ∠ABC and of ∠CBD make measure of ∠ABD in figure?
In which of the following figures, perpendicular bisector is shown?
In the following figure how many line segments are there? Name them.
Use the figure to name Five line segments.
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"`.
Write the names of six line segments.
The line segment joining points A and B is written as:
A line segment differs from a line because it:
All curved or zig-zag paths between two points are:
The shortest distance between two points is represented by a:
