Showing posts with label Exercise 22A. Show all posts
Showing posts with label Exercise 22A. Show all posts

S.chand class 6 Mathematics Chapter 22 Exercise 22A

 Exercise 22A

Question 1

1. Write 'T' for True or 'F' for False.

(i) A scalene triangle has no line of symmetry.

(ii) An isosceles triangle with more than one line of symmetry is an equilateral triangle.

(iii) A right-angled triangle can have at the most one line of symmetry.

(iv) A right-angled triangle with more than one line of symmetry is an equilateral triangle.

(v) A pentagon which has more than one line of symmetry must be regular.

(vi) A regular hexagon has only one line of symmetry.


2. If the shape is cut along the dashed line, will the two parts fit if we flip one over on top of the other?

<img>


3.Write $\mathrm{S}$, if the shape is symmetrical about the dashed line or NS, if it is not symmetrical.

<img>



Multiple Choice Questions.

Tick (✔) the correct option in question 4 to 7 .


4. How many lines of symmetry are there in a rectangle that is not a square?

(a) 1

(b) 2

(c) 4

(d) 6


5. How many lines of symmetry does the given flower have?

(a) 4

(b) 3

(c) 5

(d) 6


6. How many lines of symmetry does a regular pentagon have?

(a) 1

(b) 2

(c) 4

(d) 5


7. Which of the following letters does not have a vertical line of symmetry?

(a) $\mathrm{M}$

(b) $\mathrm{H}$

(c) $E$

(d) $V$


8. Draw the line (or lines) of symmetry of the following shapes and count their number.

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9.Draw the line/lines of symmetry in the following letters of the English alphabet.

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10. Draw a line of symmetry for the word DOCK.

11. Do your body and face appear to have a vertical line of symmetry or a horizontal line of symmetry?

12. Nirja says that the diagonals of a rectangle are also the lines of symmetry. Do you agree? Explain,

13. Construct a line segment $6.8 \mathrm{~cm}$ long. Construct its line of symmetry.

14. Draw an angle measuring $75^{\circ}$ with equal arms. Construct its line of symmetry.
















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

Exercise 22A

page-247

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

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

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

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

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

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

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

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

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

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

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)


Page-248

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

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

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

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)

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