Question

Identify the new coordinates of polygon ABCD after a translation of 2 units down and three units right. Please help I don't know what to do for this question :'(

a) A(3, -2), B(6, -2), C(6, -9), D(3, -9)
b) A(3, -2), B(6, -2), C(6, 9), D(3, 9)
c) A(-3, 2), B(-6, 2), C(-6, 9), D(-3, 9)
d) A(-3, 2), B(-6, 2), C(-6, -9), D(-3, -9)

Answer 1

To find the new coordinates after a translation, add 3 to the x-coordinates and subtract 2 from the y-coordinates of each vertex of the polygon. The correct new coordinates of polygon ABCD after a translation of 2 units down and three units right are given in option (a).

Step-by-step explanation:

The question involves a translation of a polygon in the coordinate plane. To find the new coordinates of a polygon after a translation, you simply add the translation values to the x and y coordinates of each vertex. In this case, we add 3 units to the x-coordinate because we are translating the polygon three units to the right and subtract 2 units from the y-coordinate because we are translating it two units down.

Here's how you calculate the new coordinates step-by-step:

1. Add 3 to the x-coordinate of each vertex.
2. Subtract 2 from the y-coordinate of each vertex.
3. Write down the new coordinates after the addition and subtraction.

Applying these steps to the given options, option (a) A(3, -2), B(6, -2), C(6, -9), D(3, -9) is the correct new coordinates of polygon ABCD after the specified translation.