The point (4, 1) undergoes the following two successive transform… - Vidyadip

Question

The point (4, 1) undergoes the following two successive transformations:

Reflection about the line y = x.
Translation through a distance 2 units along the positive x-axis.

Then the final coordinates of the point are:

(4, 3)
(3, 4)
(1, 4)
$\frac{7}{2},\frac{7}{2}$

✓

Answer

(3, 4)

Solution:

Reflection of A(4, 1) in y = x is 5(1, 4).

Now translation of point B through a distance '2' units along the positive x-axis shifts B to C(1 + 2, 4) or C(3, 4).

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