Advertisements
Advertisements
Question
Find the coordinates of points P, Q, R and S in Fig. 27.8.
Advertisements
Solution
Draw perpendiculars PA, QB, RC and SD from vertices P, Q, R and S on the x-axis. Also ,draw perpendiculars
PE, QF, RG and SH on the y-axis from these points.
PE = 10 units and PA = 70 units
Therefore, the coordinates of vertex P are (10, 70).
QF = 12 units and QB = 80 units
Therefore, the coordinates of vertex Q are (12, 80).
RG = 16 units and RC = 100 units
Therefore, the coordinates of vertex R are (16, 100).
SH = 20 units and SD = 120 units
Therefore, the coordinates of vertex S are (20, 120).
APPEARS IN
RELATED QUESTIONS
Write the coordinates of each of the vertices of each polygon in Fig. 27.9.
Decide which of the following statements is true and which is false. Give reasons for your answer.
Points whose x and y coordinates are equal, lie on a line passing through the origin.
In the given graph the letter that indicates the point (0, 3) is ______.
The distance of any point from the x-axis is called the x-coordinate.
Write the x-coordinate (abscissa) of the given point.
(0, 5)
Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order.
(1, 1), (1, 2), (2, 1), (2, 2)
Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order.
(4, 2), (2, 4), (3, 3), (5, 4)
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 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 |
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.
