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ICSE Class 10 Mathematics Question 1 of 4

Long Answer Questions 1 (Graph-based) — Question 1

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Question 106

Plot the points A(2, 2) and B(6, -2) in the graph and answer the following :

(a) Reflect points A in origin to point D and write the co-ordinates of point D.

(b) Reflect points A in line y = -2 to point C and write the co-ordinates of point C.

(c) Find a point P on CD which is invariant under reflection in x = 0, write its co-ordinates.

(d) Write the geometrical name of the closed figure ABCD.

(e) Write the co-ordinates of the point of intersection of the diagonals of ABCD.

Answer

The graph is shown below:

Plot the points A(2, 2) and B(6, -2) in the graph and answer the following : Maths Competency Focused Practice Questions Class 10 Solutions.

(a) From graph,

Co-ordinates of D = (-2, -2).

(b) From graph,

Co-ordinates of C = (2, -6).

(c) Point P(0, -4) lies on y-axis.

∴ It is invariant under reflection in x = 0.

Co-ordinates of P = (0, -4).

(d) From graph,

ABCD is a square.

(e) From graph,

H is the point of intersection of diagonals of ABCD.

Co-ordinates of H = (2, -2).