English

Find the Coordinates of Points P, Q, R and S in Fig. 27.8. - Mathematics

Advertisements
Advertisements

Question

Find the coordinates of points PQR and S in Fig. 27.8.

Answer in Brief

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).

shaalaa.com
  Is there an error in this question or solution?
Chapter 27: Introduction to Graphs - Exercise 27.1 [Page 6]

APPEARS IN

RD Sharma Mathematics [English] Class 8
Chapter 27 Introduction to Graphs
Exercise 27.1 | Q 5 | Page 6

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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)


State whether True or False. Correct those are false.

The coordinates of the origin are (0, 0).


Plot the points (5, 0), (5, 1), (5, 8). Do they lie on a line? What is your observation?


The following table gives the information regarding length of a side of a square and its area:

Length of a side (in cm): 1 2 3 4 5
Area of square (in cm2): 1 4 9 16 25

Draw a graph to illustrate this information.


The ordinate of a point is its distance from the y-axis.


Write the x-coordinate (abscissa) of the given point.

(7, 3)


Write the y-coordinate (ordinate) of the given point.

(2, 7)


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)


Observe the toothpick pattern given below:

(a) Imagine that this pattern continues. Complete the table to show the number of toothpicks in the first six terms.

Pattern 1 2 3 4 5 6
Toothpicks 4     13    

(b) Make a graph by taking the pattern numbers on the horizontal axis and the number of toothpicks on the vertical axis. Make the horizontal axis from 0 to 10 and the vertical axis from 0 to 30.

(c) Use your graph to predict the number of toothpicks in patterns 7 and 8. Check your answers by actually drawing them.

(d) Would it make sense to join the points on this graph? Explain.


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.

  1. The older car is less valuable.
  2. The faster car is larger.
  3. The larger car is older.
  4. The faster car is older.
  5. The more valuable car is slower.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×