RS Aggarwal solution class 8 chapter 22 Introduction to Coordinate Geometry Exercise 22A

Exercise 22A

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Q1 | Ex-22A | Class 8 | RS AGGARWAL | chapter 22 | Introduction to Coordinate Geometry

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Question 1:

Write the abscissa of each of the following points:
(i)     (0, 5)
(ii)    (3, 7)
(iii)   (–2, 4)
(iv)   (6, –3)

Answer 1:

(i) Abscissa of (0,5) = 0
(ii) Abscissa of (3,7) =3
(iii) Abscissa of (−2,4) = −2
(iv) Abscissa of (6,−3) = 6

Q2 | Ex-22A | Class 8 | RS AGGARWAL | chapter 22 | Introduction to Coordinate Geometry

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Question 2:

Write the ordinate of each of the following points:
(i)     (4, 0)
(ii)    (5, 2)
(iii)   (1, –4)
(iv)   (–10, –7)

Answer 2:

(i) Ordinate of (4,0) = 0
(ii) Ordinate of (5,2) =2
(iii) Ordinate of (1,−4) =− 4
(iv) Ordinate of (−10,−7) = −7

Q3 | Ex-22A | Class 8 | RS AGGARWAL | chapter 22 | Introduction to Coordinate Geometry

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Question 3:

On a graph paper, plot each of the following points:
(i)      A (4, 3)
(ii)     B (–2, 5)
(iii)    C (0, 4)
(iv)    D (7, 0)
(v)     E (–3, –5)
(vi)    F (5, –3)
(vii)   G (–5, –5)
(viii)  H (0, 0)

Answer 3:

Q4 | Ex-22A | Class 8 | RS AGGARWAL | chapter 22 | Introduction to Coordinate Geometry

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Question 4:

Plot each of the following points on a graph sheet. Verify that they lie on a line.
(i)      A (4, 0),  B (4, 2), C (4, 2.5), and D (4, 6)
(ii)     P (1, 1),  Q (2, 2), R (3, 3), and S (4,4)
(iii)    L (6, 2),  M (5, 3), N (3, 5), and O (2, 6)

Answer 4:

(i) After joining points A, B, C, D, we can see that the given points forms a straight line

(ii) After joining points P, Q ,R, S, we can see that the given points forms a straight line

(iii) After joining points L, M, N, O,  we can see that the given points forms a straight line

Q5 | Ex-22A | Class 8 | RS AGGARWAL | chapter 22 | Introduction to Coordinate Geometry

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Question 5:

Plot the given points on a graph sheet and check if they lie on a straight line. If not, name the shape they form when joined in the given order.
(i)      A (0, 2),  B (0, 3.5), C (0, 5) and D (0, 6)
(ii)     P (1, 3),  Q (1, 5), R (3, 3) and S (3, 5)
(iii)    E (4, 5),  F (5, 5), G (5, 7) and H (6, 5)
(iv)    L (2, 0),  M (2, 3), N (0, 3) and O (0, 0)
(v)     J (4, 3),  K (6, 1), L (6, 5) and M (4, 7)

Answer 5:

(i) After joining the given points, we see that they form a straight line.


(ii) After joining the given points, we see that they form a square.


(iii) After joining the given points, we see that they form a traingle.


(iv) After joining the  given points, we see that they form a rectangle.


(v) After joining the given points, we see that they form a paralellogram.

Q6 | Ex-22A | Class 8 | RS AGGARWAL | chapter 22 | Introduction to Coordinate Geometry

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Question 6:

Locate the points A (1, 2), B (4, 2) and C (1, 4) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D in order to complete the rectangle ABCD.

Answer 6:

Co-ordinates of D = (4,4)

Q7 | Ex-22A | Class 8 | RS AGGARWAL | chapter 22 | Introduction to Coordinate Geometry

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Question 7:

Locate the points A (1, 2), B (3, 4) and C (5, 2) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D in order to complete the rhombus ABCD. Measure the diagonals of this rhombus and check whether they are equal or not.

Answer 7:

Co-ordinates of D =(3,0)
Distance AC = 4 unit
distance BD = 4 unit

Hence, we can see that diagonals of the given rhombus are of equal length i.e, 4 units.

Q8 | Ex-22A | Class 8 | RS AGGARWAL | chapter 22 | Introduction to Coordinate Geometry

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Question 8:

Locate the points P (3, 4), Q (1, 0), R (0, 4) and S (4, 1) on a graph sheet and write the coordinates of the points of intersection of line segments PQ and RS.

Answer 8:

From the graph, we can see that point of intersection of line segment PQ and RS is O(2.2,2.3)

Q9 | Ex-22A | Class 8 | RS AGGARWAL | chapter 22 | Introduction to Coordinate Geometry

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Question 9:

Plot the points A (2, 4) and B (4, 2) on a graph sheet and draw a line passing through these two points. Extend the line on both sides to meet the coordinate axes. What are the coordinates of the points where this line meets the x-axis and the y-axis?

Answer 9:

From the graph, we can see that after extending line AB, it cuts x-axis at P(6,0) and y-axis at Q(0,6).

Q10 | Ex-22A | Class 8 | RS AGGARWAL | chapter 22 | Introduction to Coordinate Geometry

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Question 10:

From the given figure, choose the letters that indicate the location of the following points:
(a)   (2, 1)
(b)   (0,5)
(c)   (2,0)
Also, mention the coordinates of the points A and F.

Answer 10:

(a) Location of (2,1) is shown by E.
(b) Location of (0,5) is shown by B.
(C) Location of (2,0) is shown by G.

Co-ordinates of point A is (4,5) and F is (5.5,0)

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Q11 | Ex-22A | Class 8 | RS AGGARWAL | chapter 22 | Introduction to Coordinate Geometry

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Question 11:

Write the coordinates of all points in the graph given below:

Answer 11:

From the graph
 Co-ordinate of A =(4,7)
 Co-ordinate of B =(7,4)
 Co-ordinate of C =(4,1)
 Co-ordinate of D =(1,4)
 Co-ordinate of E =(3,5)
 Co-ordinate of F =(5,5)
 Co-ordinate of G =(5,3)
 Co-ordinate of H =(3,3)
 Co-ordinate of I =(4,5)
 Co-ordinate of J =(5,4)
 Co-ordinate of K =(4,3)
 Co-ordinate of L =(3,4)

Q12 | Ex-22A | Class 8 | RS AGGARWAL | chapter 22 | Introduction to Coordinate Geometry

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Question 12:

Write the coordinates of the vertices of each of the figures given below:

Answer 12:

From the graph
 Co-ordinate of A =(1,1)
 Co-ordinate of B =(3,0)
 Co-ordinate of C =(4,2)
 Co-ordinate of D =(2,3)
 Co-ordinate of E =(5,1)
 Co-ordinate of F =(6,3)
 Co-ordinate of G =(5,5)
 Co-ordinate of H =(4,3)
 Co-ordinate of I =(1,2)
 Co-ordinate of J =(2,4)
 Co-ordinate of K =(0,5)
 Co-ordinate of L =(2,5)
 Co-ordinate of M =(1,5)
 Co-ordinate of N=(2,6)
 Co-ordinate of O =(3,6)
 Co-ordinate of P =(4,5)
 Co-ordinate of Q =(4,4)

Q13 | Ex-22A | Class 8 | RS AGGARWAL | chapter 22 | Introduction to Coordinate Geometry

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Question 13:

Fill in the blanks to make the given statements true.
(i)     A point in which the x-coordinate is 0 and y-coordinate is 5 will lie on ..... .
(ii)    All point with y-coordinate as 0 lie on ...... .
(iii)   The x-coordinate of any point lying on the y-axis is always ..... .
(iv)   The point where the two axes intersect is called the ..... .
(v)    For the point (5, 2), the distance from the x-axis is ...... units.
(vi)   The distance of any point from the y-axis is the ...... coordinate.
(vii)  The coordinates of the origin are ...... .

Answer 13:

(i) Y- axis
(ii) X-axis
(iii) 0
(iv) origin
(v) 2
(vi) x
(vii) (0, 0)