Mathematics
Study the graph and answer the following questions :
(a) Write down the co-ordinates of points A, B and C.
(b) Calculate the area of triangle ABC.
Reflection
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Answer
(0, 4), (-5, -2) and (5, -2); 30 sq. units
Reason
(a) From graph,
Coordinates of A = (0, 4), B = (-5, -2) and C = (5, -2).
(b) From graph,
1 block = 1 unit and AD is the height of triangle ABC.
BC = 10 units
AD = 6 units
We know that,
Area of triangle =
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Related Questions
Use graph sheet for this question. Take 2 cm = 1 unit along the axes.
(a) Plot A(1, 2), B(1, 1) and C(2, 1)
(b) Reflect A, B and C about y-axis and name them as A', B' and C'.
(c) Reflect A, B, C, A', B' and C' about x-axis and name them as A'', B'', C'', A''', B''' and C''' respectively.
(d) Join A, B, C, C'', B'', A'', A''', B''', C''', C', B' , A' and A to make it a closed figure.
(a) Point P(2, -3) on reflection becomes P'(2, 3). Name the line of reflection (say L1).
(b) Point P' is reflected to P'' along the line (𝐿2), which is perpendicular to the line 𝐿1 and passes through the point, which is invariant along both axes. Write the coordinates of P''.
(c) Name and write the coordinates of the point of intersection of the lines 𝐿1 and 𝐿2.
(d) Point P is reflected to P''' on reflection through the point named in the answer of part I of this question. Write the coordinates of P'''. Comment on the location of the points P'' and P'''.
Use graph paper for this question. Take 2 cm = 1 unit along both the axes.
(i) Plot the points A(2, 3), B(2, 2) and C(3, 2).
(ii) Reflect A, B and C about x-axis and name them as A', B' and C' respectively.
(iii) Reflect A, B, C, A', B' and C' about y-axis and name them as A'', B'', C'', A''', B''' and C''' respectively.
(iv) Join A, B, C, C'', B'', A'', A''', B''', C''', C', B', A' and A to make a closed figure.