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 paper for this question :
Use 1 cm = 1 unit on both the axes.
(i) Plot the points A(4, 5) and B(-1, -3)
(ii) A' is the image of A when reflected in the y-axis. Write down the co-ordinates of A' and plot it on the graph paper.
(iii) B' is the image of B when reflected in the x-axis followed by reflection in the origin. Write down the co-ordinates of B' and plot it on the graph paper.
(iv) Write down the geometrical name of the figure AA'BB'.
(v) Name two invariant points under reflection in y-axis.
Use graph sheet to answer this question. Take 2 cm = 1 unit along both the axes.
(a) Plot A, B, C where A(0, 4), B(1, 1) and C(4, 0).
(b) Reflect A and B on the x-axis and name them as E and D respectively.
(c) Reflect B through the origin and name it F. Write down the coordinates of F.
(d) Reflect B and C on the y-axis and name them as H and G respectively.
(e) Join points A, B, C, D, E, F, G, H and A in order and name the closed figure formed.
ABC is a triangle as shown in the figure below.
(a) Write down the coordinates of A, B and C on reflecting through the origin.
(b) Write down the coordinates of the point/s which remain invariant on reflecting the triangle ABC on the x-axis and y-axis respectively.