Question

The vertices of figure ABCD and its image A’B’C’D’are given below:A(25, 22), B(23, 21), C(21, 21), D(23, 24)A’(2, 22), B’(4, 21), C’(6, 21), D’(4, 24) What single transformation could you use to map figure ABCD onto figure A9B9C9D9? Explain how you know.

Answer 1

To map figure ABCD onto figure A'B'C'D', a translation transformation can be used. The translation vector is (-23, 0), which means moving all the points 23 units to the left.

Step-by-step explanation:

To map figure ABCD onto figure A'B'C'D', we can use a translation transformation. This is because all the corresponding vertices have the same y-coordinate. We can calculate the translation vector by subtracting the coordinates of point A from the coordinates of point A', which gives us (2 - 25, 22 - 22) = (-23, 0).

So the translation vector is (-23, 0). This means that we need to move all the points 23 units to the left. We can do this by subtracting 23 from the x-coordinates of all the points in figure ABCD.

Applying the translation to figure ABCD, we get A9(25 - 23, 22) = (2, 22), B9(23 - 23, 21) = (0, 21), C9(21 - 23, 21) = (-2, 21), and D9(23 - 23, 24) = (0, 24).