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
Study the graph and answer each of the following :
(a) Write the coordinates of points A, B, C and D.
(b) Given that, point C is the image of point A. Name and write the equation of the line of reflection.
(c) Write the coordinates of the image of the point D under reflection in y-axis.
(d) What is the name given to a point whose image is the point itself ?
(e) On joining the points A, B, C, D and A in order, a figure is formed. Name the closed figure.
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.
Points (8, 0) and (-3, 0) are invariant points under reflection in the line L1, points (0, -9) and (0, 5) are invariant points under reflection in the line L2.
(i) Name or write down equations of the lines L1 and L2.
(ii) Write down the images of points P(3, 5) and Q(-8, 3) after reflection in line L1. Name the images as P' and Q' respectively.
(iii) Write down the images of P and Q on reflection in L2. Name the images as P" and Q" respectively.
(iv) Describe a single transformation that maps P' to P".