Mathematics
Use graph paper for this question.
The points A(2, 3), B(4, 5) and C(7, 2) are the vertices of ΔABC.
(i) Write down the co-ordinates of A', B', C' if ΔA'B'C' is the image of ΔABC when reflected in the origin.
(ii) Write down the co-ordinates of A", B", C" if ΔA"B"C" is the image of ΔABC when reflected in the x-axis.
(iii) Mention the special name of the quadrilateral BCC"B" and find its area.
Reflection
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Answer
The graph is shown below:
(i) From graph we get,
The coordinates of A', B', C' are (-2, -3), (-4, -5) and (-7, -2) respectively.
(ii) From graph we get,
The coordinates of A", B", C" are (2, -3), (4, -5) and (7, -2) respectively.
(iii) From graph we get,
BB" // CC" and BC = B"C" (As on reflection the length between the points do not changes)
BCC"B" formed is an isosceles trapezium.
We know that,
Hence, BCC"B" formed is an isosceles trapezium and area of BCC"B" = 21 sq.units.
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Use a graph paper for this question. A(1, 1), B(5, 1), C(4, 2) and D(2, 2) are the vertices of a quadrilateral.
(i) Name the quadrilateral ABCD.
(ii) A, B, C, D are reflected in the origin onto A', B', C' and D' respectively. Locate A', B', C', D' on the graph paper and write their co-ordinates.
(iii) Are D, A, A' and D' collinear?
A ΔABC with vertices A(1, 2), B(4, 4) and C(3, 7) is first reflected in the line y = 0 onto ΔA'B'C' and then ΔA'B'C' is reflected in the origin onto ΔA"B"C".
Write down the co-ordinates of :
(i) A', B' and C'
(ii) A", B" and C"
Write down the single transformation that maps Δ ABC directly onto ΔA"B"C".
Use graph paper taking 2 cm = 1 unit along both the axes. Plot the points O(0, 0), A(-4, 4), B(-3, 0) and C(0, -3).
(i) Reflect points A and B on y-axis and name them A' and B' respectively. Write down their co-ordinates.
(ii) Name the figure OABCBA'.
(iii) State the line of symmetry of this figure.
Use a graph paper for this question taking 1 cm = 1 unit along both x and y axes.
(i) Plot the points A(0, 5), B(2, 5), C(5, 2), D(5, -2), E(2, -5) and F(0, -5).
(ii) Reflect the points B, C, D and E on y-axis and name them respectively as B', C', D' and E'.
(iii) Write the co-ordinate of B', C', D' and E'.
(iv) Name the figure formed by BCDEE'D'C'B'.
(v) Name a line of symmetry for the figure formed.