Mathematics
Points A and B have the coordinates (-2, 4) and (-4, 1) respectively. Find :
(i) the co-ordinates of A', the image of A in the line x = 0.
(ii) the coordinates of B', the image of B in the y-axis.
(iii) the coordinates of A", the image of A in the line BB'.
Hence, write the angle between the lines A'A" and BB'. Assign a special name to the figure B'A'BA".
Reflection
7 Likes
Answer
(i) x = 0 is the y-axis.
On reflection in y-axis,
A(-2, 4) ⇒ A'(2, 4).
Hence, coordinates of A' = (2, 4).
(ii) On reflection in y-axis,
B(-4, 1) ⇒ B'(4, 1).
Hence, coordinates of B' = (4, 1).
(iii) From graph,
On reflection in line BB'
A(-2, 4) ⇒ A"(-2, -2).
Hence, coordinates of A" = (-2, -2).
From graph,
Angle between lines A'A" and BB' = 56° 19' and B'A'BA" is a parallelogram.
Answered By
2 Likes
Related Questions
Find the sum of first n terms of the G.P. , ………..
Find the values of m and n, in each case; if :
(i) (4, -3) on reflection in x-axis gives (-m, n).
(ii) (m, 5) on reflection in y-axis gives (-5, n - 2)
(iii) (-6, n + 2) on reflection in origin gives (m + 3, -4).
Triangle OA1B1 is the reflection of triangle OAB in origin, where A1 (4, -5) is the image of A and B1 (-7, 0) is the image of B.
``` kboatpngend
(i) Write down the co-ordinates of A and B and draw a diagram to represent this information.
(ii) Give a special name to the quadrilateral ABA1B1. Give reason.
(iii) Find the co-ordinates of A2, the image of A under reflection in x-axis followed by reflection in y-axis.
(iv) Find the co-ordinates of B2, the image of B under reflection in y-axis followed by reflection in origin.
In what ratio does the point M(p, -1) divide the line segment joining the points A(1, -3) and B(6, 2) ? Hence, find the value of p.
