Advertisements
Advertisements
Question
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.
Advertisements
Solution
Complete table is shown below
| Points | (0.5x, 0.5y) | Points | (2x, 1.5y) |
| E | (0.5, 0.5) | J | (2, 1.5) |
| F | (2, 2) | K | (8, 6) |
| G | (4, 2) | L | (16, 6) |
| H | (2.5, 0.5) | M | (10, 1.5) |
APPEARS IN
RELATED QUESTIONS
Plot the following points on a graph sheet. Verify if they lie on a line
A(4, 0), B(4, 2), C(4, 6), D(4, 2.5)
Plot the following points on a graph sheet. Verify if they lie on a line
K(2, 3), L(5, 3), M(5, 5), N(2, 5)
Locate the points:
(1, 1), (1, 2), (1, 3), (1, 4)
A point which lies on both the axis is ______.
All points with y-coordinate as zero lie on the ______.
The distance of the point (3, 5) from the y-axis is 5.
Write the y-coordinate (ordinate) of the given point.
(2, 7)
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?
Draw the line graph using suitable scale to show the annual gross profit of a company for a period of five years.
| Year | 1st | 2nd | 3rd | 4th | 5th |
| Gross Profit (in Rs) |
17,00,000 | 15,50,000 | 11,40,000 | 12,10,000 | 14,90,000 |
Consider this input/output table.
| Input | 1 | 2 | 4 | 5 | 7 |
| Output | 2 | 5 | 11 | 14 | 20 |
- Graph the values from the table by taking Input along horizontal axis from 0 to 8 and Output along vertical axis from 0 to 24.
- Use your graph to predict the outputs for inputs of 3 and 8.
