Advertisements
Advertisements
प्रश्न
Write the coordinates of each of the vertices of each polygon in Fig. 27.9.
Advertisements
उत्तर
From the figure, we have:
In polygon OXYZ:
O lies on the origin and the coordinates of the origin are (0, 0). So, the coordinates of O are (0, 0).
X lies on the y-axis. So, the x-coordinate is 0. Hence, the coordinate of X is (0, 2).
Also, YX is equal to 2 units and YZ is equal to 2 units. So, the coordinates of vertex Y are (2, 2).
Z lies on the x-axis. So, the y-coordinate is 0. Hence, the coordinates of Z are (2, 0).
In polygon ABCD:
Draw perpendiculars DG, AH, CI and BJ from A, B, C and D on the x-axis.
Also, draw perpendiculars DF, AE, CF and BE from A, B, C and D on the y-axis.
Now, from the figure:
DF = 3 units and DG = 3 units
Therefore, the coordinates of D are (3, 3).
AE = 4 units and AH = 5 units
Therefore, the coordinates of A are (4, 5).
CF = 6 units and CI = 3 units
Therefore, the coordinates of C are (6, 3).
BE = 7 units and BJ = 5 units
Therefore, the coordinates of B are (7, 5).
In polygon PQR:
Draw perpendiculars PJ, QK and RK from P, Q and R on the x-axis.
Also, draw perpendiculars PW, QE and RF from P, Q and R on the y-axis.
Now, from the figure:
PW = 7 units and PJ = 4 units
Therefore, the coordinates of P are (7, 4).
QE = 9 units and QK = 5 units
Therefore, the coordinates of Q are (9, 5).
RF = 9 units and RK = 3 units
Therefore, the coordinates of R are (9, 3).
APPEARS IN
संबंधित प्रश्न
For the point (5, 2), the distance from the x-axis is ______ units.
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.
From the given graph, choose the letters that indicate the location of the points given below.
- (2, 0)
- (0, 4)
- (5, 1)
- (2, 6)
- (3, 3)
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.
(4, 2), (2, 4), (3, 3), (5, 4)
Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow.
- At what time did the person start from his home?
- How much distance did he travel in the first four hours of his journey?
- What was he doing from 3 pm to 5 pm?
- What was the total distance travelled by him throughout the day?
- Calculate the distance covered by him in the first 8 hours of his journey.
- At what time did he cover 16 km of his journey?
- Calculate the average speed of the man from (a) A to B (b) B to C.
- At what time did he return home?
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.
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.
- 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.
