Advertisements
Advertisements
Question
This graph shows a map of an island just off the coast of a continent. The point labelled B represents a major city on the coast. The distance between grid lines represents 1 km.
Point A represents a resort that is located 5 km East and 3 km North of Point B. The values 5 and 3 are the coordinates of Point A. The coordinates can be given as the ordered pair (5, 3), where 5 is the horizontal coordinate and 3 is the vertical coordinate.
(i) On a copy of the map, mark the point that is 3 km East and 5 km North of Point B and label it S. Is Point S in the water or on the island? Is Point S in the same place as Point A?
(ii) Mark the point that is 7 km east and 5 km north of Point B and label it C. Then mark the point that is 5 km east and 7 km north of Point B and label it D. Are Points C and D in the same place? Give the coordinates of Points C and D.
(iii) Which point is in the water, (2, 7) or (7, 2)? Mark the point which is in water on your map and label it E.
(iv) Give the coordinates of two points on the island that are exactly 2 km from Point A.
(v) Give the coordinates of the point that is halfway between Points L and P.
(vi) List three points on the island with their x-coordinates greater than 8.
(vii) List three points on the island with a y-coordinate less than 4.
Advertisements
Solution
(i) The points is in the water. No, it is not in the same place as point A
(ii) No, they are not in the same place. The coordinates of points C and D are (7, 5) and (5, 7), respectively.
(iii) (2, 7) is in the water.
(iv) (7, 3), (5, 5)
(v) (8.5, 3)
(vi) (9, 4), (10, 4), (11, 5)
(vii) (5, 3), (6, 2), (7, 2)
Notes
Answer for option (vi) and (vii) may vary from student to student
APPEARS IN
RELATED QUESTIONS
State whether True or False. Correct those are false.
A point whose y coordinate is zero and x-coordinate is 5 will lie on y-axis.
In the given graph the coordinates of point x are ______.
We need ______ coordinates for representing a point on the graph sheet.
For fixing a point on the graph sheet we need two coordinates.
The distance of the point (3, 5) from the y-axis is 5.
Write the x-coordinate (abscissa) of the given point.
(5, 7)
The following is the time-distance graph of Sneha’s walking.
- When does Sneha make the least progress? Explain your reasoning.
- Find her average speed in km/hour.
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 two graphs below compare Car A and Car B. The left graph shows the relationship between age and value. The right graph shows the relationship between size and maximum speed.
 |
 |
Use the graphs to determine whether each statement is true or false, and explain your answer.
- The older car is less valuable.
- The faster car is larger.
- The larger car is older.
- The faster car is older.
- The more valuable car is slower.
