Mathematics
A triangle ABC is reflected in y-axis to get triangle A'B'C'. Triangle A'B'C' is reflected in line y = 0, to get △A"B"C". Then which of the following is not true ?
△A'B'C' ~ △A"B"C"
△A'B'C' ≅ △A"B"C"
△ABC ≅ △A"B"C"
△ABC ≠ △A"B"C"
Reflection
2 Likes
Answer
We know that,
Reflections are isometrics.
∴ Triangles are congruent.
Since, triangles are congruent.
∴ Triangles are similar.
Hence, the statement △ABC ≠ △A"B"C" is not true.
Hence, Option 4 is the correct option.
Answered By
3 Likes
Related Questions
The point (-5, 0) on reflection in a line is mapped as (5, 0) and the point (-2, -6) on reflection in the same line is mapped as (2, -6).
(a) Name the line of reflection.
(b) Write the co-ordinates of the image of (5, -8) in the line obtained in (a).
The point P(5, 7) is reflected to P' in x-axis and O' is the image of O (origin) in the line PP'. The co-ordinates of O' are :
(10, 0)
(0, 10)
(10, 10)
(5, 5)
Point A (4, -1) is reflected as A' in the y-axis. Point B on reflection in the x-axis is mapped as B' (-2, 5). Write the co-ordinates of A' and B.
The point P is reflected in x = 0 to get the point P' and the point P' is reflected in y = 0 to get the point P". Which two points out of P, P' and P" are invariant under this reflection.
P" = P
P" = P'
P' = P
no-one