Mathematics
(i) Plot the points A(3, 2) and B(5, 4) on a graph paper.
(ii) Reflect A and B in the x-axis to A' and B' respectively. Plot A' and B' on the same graph paper. Write the co-ordinates of A' and B'.
(iii) Write down :
(a) the geometrical name of the figure ABB'A'.
(b) m∠ABB'.
(c) the image A" of A when reflected in the origin.
(d) the single transformation that maps A' to A".
Reflection
1 Like
Answer
(i) The graph is shown below:
(ii) From graph,
The coordinates of A' = (3, -2) and B' = (5, -4).
(iii) Join points ABB'A'.
(a) On reflection distance between points does not changes.
Thus, AB = A'B'.
Also, AA' // BB' as both are perpendicular to x-axis.
ABB'A' is an isosceles trapezium.
(b) On measuring,
∠ABB' = 45°.
Hence, ∠ABB' = 45°.
(c) From figure,
When A is reflected in origin, from graph
A(3, 2) ⇒ A"(-3, -2).
Hence, co-ordinates of A" = (-3, -2).
(d) From figure,
On reflection in y-axis, point A' becomes A".
Hence, reflection of A' in y-axis maps A' to A".
Answered By
3 Likes
Related Questions
The points P(-2, 4), Q(3, -1) and R(6, 2) are the vertices of a triangle. Δ PQR is reflected in y-axis to form ΔP'Q'R'. Find the co-ordinates of P', Q' and R'.
Use a graph paper for this question (Take 2 cm = 1 unit on both x and y axis).
(i) Plot the following points : A(0, 4), B(2, 3), C(1, 1) and D(2, 0)
(ii) Reflect points B, C, D on the y-axis and write down their co-ordinates. Name the images as B', C', D' respectively.
(iii) Join the points A, B, C, D, D', C', B' and A in order, so as to form a closed figure. Write down the equation of the line of symmetry of the figure formed.
Points P and Q have co-ordinates (0, 5) and (-2, 4).
(i) P is invariant when reflected in an axis. Name the axis.
(ii) Find the image of Q on reflection in the axis found in (1).
(iii) (0, k) on reflection in the origin is invariant. Write the value of k.
(iv) Write the co-ordinates of the image of Q, obtained by reflecting it in the origin followed by reflection in the x-axis.
Use a graph paper for this question. Plot the points P(3, 2) and Q(-3, -2). From P and Q, draw perpendiculars PM and QN on the x-axis.
(i) Name the image of P on reflection in the origin.
(ii) Assign the special name to the geometrical figure PMQN and find its area.
(iii) Write the co-ordinates of the point to which M is mapped on reflection in
(a) x-axis
(b) y-axis
(c) origin