Advertisements
Advertisements
Question
Find the coordinates of points A, B, C, D in Fig. 27.7.

Advertisements
Solution

Draw perpendiculars AP, BP, CQ and DR from A, B, C and D on the x-axis. Also, draw perpendiculars AW, BX, CY and DZ on the y-axis.
From the figure, we have:
AW = 1 unit and AP= 1 unit
So, the coordinates of vertex A are (1, 1).
Similarly, BX=1 unit and BP= 4 units
So, the coordinates of vertex B are (1, 4).
CY = 4 units and CQ= 6 units
So, the coordinates of vertex B are (4, 6).
DZ = 5 units and DR= 3 units
So, the coordinates of vertex B are (5, 3).
APPEARS IN
RELATED QUESTIONS
Find the coordinates of points P, Q, R and S in Fig. 27.8.

In the given graph the coordinates of point x are ______.

The distance of any point from the y-axis is the ______ coordinate.
All points with y-coordinate as zero lie on the ______.
Write the x-coordinate (abscissa) of the given point.
(0, 5)
Write the y-coordinate (ordinate) of the given point.
(3, 5)
Explain the situations represented by the following distance-time graph.

Locate the points P(3, 4), Q(1, 0), R(0, 4), S(4, 1) on a graph sheet and write the coordinates of the point of intersection of line segments PQ and RS.
Draw a parallelogram ABCD on a graph paper with the coordinates given in Table I. Use this table to complete Tables II and III to get the coordinates of E, F, G, H and J, K, L, M.
| Point | (x, y) |
| A | (1, 1) |
| B | (4. 4) |
| C | (8, 4) |
| D | (5, 1) |
Table I
| Point | (0.5x, 0.5y) |
| E | (0.5, 0.5) |
| F | |
| G | |
| H |
Table II
| Point | (2x, 1.5y) |
| J | (2, 1.5) |
| K | |
| L | |
| M |
Table III
Draw parallelograms EFGH and JKLM on the same graph paper.
Plot the points (2, 4) and (4, 2) on a graph paper, then draw a line segment joining these two points.
The following graph shows the journey made by two cyclists, one from town A to B and the other from town B to A.
- At what time did cyclist II rest? How long did the cyclist rest?
- Was cyclist II cycling faster or slower after the rest?
- At what time did the two cyclists meet?
- How far had cyclist II travelled when he met cyclist I?
- When cyclist II reached town A, how far was cyclist I from town B?

