Question

Draw the figure and its reflection in the y-axis. Identify the coordinates of the image. J(2, 2), K(7.4), L(9. - 2). M(3, -1) Polygon Undo 5. 2 -10 2 6 8 10 4 - -19 The coordinates of the image are:

Answer 1

We are given the coordinates of a polygon and are requested in the first step to draw its image. The plot is shown below:

We are then asked to draw the image that results from reflecting this polygon over the y-axis. So we recall that such reflection changes the coordinate of the points as shown below:

(x, y) --> (-x, y) changing the x coordinate to its opposite and keeping the y coordinate intact.

Then the transformation of the vertices would be:

J = (2, 2) --> J' = (-2, 2)

K = (7,4 ) --> K' = (-7, 4)

L = (9, -2) --> L' = (-9, -2)

M = (3, -1) --> M' = (-3, -1)

These new vertices are plotted below in red: