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Find the Coordinates of Points A, B, C, D in Fig. 27.7. - Mathematics

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प्रश्न

Find the coordinates of points ABCD in Fig. 27.7.

थोडक्यात उत्तर
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उत्तर

Draw perpendiculars AP, BP, CQ and DR from A, B, C and D on the x-axis. Also, draw perpendiculars AW, BX, CY and DZ on the y-axis.

From the figure, we have:
AW = 1 unit and AP= 1 unit
So, the coordinates of vertex A are (1, 1).

Similarly, BX=1 unit and BP= 4 units
So, the coordinates of vertex B are (1, 4).
CY = 4 units and CQ= 6 units

So, the coordinates of vertex B are (4, 6).
DZ = 5 units and DR= 3 units
So, the coordinates of vertex B are (5, 3).

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पाठ 27: Introduction to Graphs - Exercise 27.1 [पृष्ठ ६]

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आरडी शर्मा Mathematics [English] Class 8
पाठ 27 Introduction to Graphs
Exercise 27.1 | Q 4 | पृष्ठ ६

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A point which lies on both the axis is ______.


A point has 5 as its x–coordinate and 4 as its y–coordinate. Then the coordinates of the point are given by ______.


The point where the two axes intersect is called the ______.


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

(3, 5)


The graph given below compares the sales of ice creams of two vendors for a week.


Observe the graph and answer the following questions.

  1. Which vendor has sold more icecreams on Friday?
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  3. On which day did the sale of vendor A increase the most as compared to the previous day?
  4. On which day was the difference in sales the maximum?
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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

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