Question

A translation is applied to the triangle formed by the points A(−1, 4) , B(−1, 10) , and C(3, 6) . The image is the triangle that has vertices ​ A′(3, 4) ​, ​ B′(3, 10) ​​, and C′(7, 6) ​. Select the phrase from the drop-down menu to correctly describe the translation.

Answer 1

The triangle was translated to the right by 4 points.

Explanation:

If you look at the coordinates, the Y value does not change at all when comparing the original image to the translated image. Only the x value was translated. Since the problem told you it was a translation you can pick a point and subtract the value of the original image from the value of the translated image. If your answer to the subtraction problem is positive, the image moved to up or to the right (for the x-axis), if it is negative then your image moved down or to the left . Up and down is for translations along the Y-axis, and left and right are for translations along the X-axis. This works for both X and Y values. I know I just dumped a bunch of words on you, so to show you lets use points C and C'. C has an X value is 3 and C' has an X value of 7.

Subtract C (3) from C' (7) and that'll give you an answer of 4. Since the answer is positive it will move up or to the right. Since we used the X value, it moved to the right.

If you need a better explanation let me know and I'll try my best.