Mathematics
The point (-3, 0) on reflection in a line is mapped as (3, 0) and the point (2, -3) on reflection in the same line is mapped as (-2, -3).
(i) Name the mirror line.
(ii) Write the coordinates of the image of (-3, -4) in the mirror line.
Reflection
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Answer
Given, the point (-3, 0) is the image of point (3, 0) and (-2, -3) is the image of point (2, -3) in the same line.
Considering graph,
(i) The mirror line is y-axis.
(ii) Since, the mirror line is y-axis. We know that,
Rule to find reflection of a point in y-axis :
- Change the sign of abscissa i.e. x-coordinate.
- Retain the ordinate i.e. y-coordinate.
Let C be the point (-3, -4).
∴ C' (3, -4) is the image on reflection of C (-3, -4) in y-axis.
Hence, the reflection of (-3, -4) in y-axis is (3, -4).
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Related Questions
The image of a point P on reflection in a line l is a point P'. Describe the location of the line l.
Given two points P and Q, and that (1) the image of P on reflection in y-axis is the point Q and (2) the mid point of PQ is invariant on reflection in x-axis. Locate (i) the x-axis (ii) the y-axis and (iii) the origin.
Use graph paper for this question.
Take 2 cm = 1 unit on both the axes.
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(ii) Reflect B, C, D on the y-axis and name them as B', C' and D' respectively.
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Use graph paper for this question.
Take 1 cm = 1 unit on both the axes.
(i) Plot the following points on your graph sheet:
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