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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Plot points A(0, 3), B(4, 0), C(6, 2) and D(5, 0). Reflect the points as given below and write their coordinates :
(a) Reflect A on x-axis to A’.
(b) Reflect B on y-axis to B’.
(c) Reflect C on x-axis to C’.
(d) D remain invariant when reflected on the line whose equation is …………… .
(e) Join the points A, B, C, D, C’, B, A’, B’ and A to form a closed figure. Name the closed figure BCDC’.
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.
Assertion (A) : The point (-2, 8) is invariant under reflection in line x = -2
Reason (R) : If a point has its x-coordinate 0, it is invariant under reflection in both axes.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
Both A and R are true.
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.