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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.
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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) |
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