Question

Look at the triangles below.6BaiС4.321А-4-3-2-1 012.345B-1-2-3-419Point D will be added to the graph so thatAABC = AADC. What could be the coordinatesof point D?(1, -3)(2,-5)(3, -1)O (1, -2)

Answer 1

EXPLANATION

In order to get coordinates of D such that △ABC ≅ △ADC, the distance between the point A and the point D should be the same that the distance from the point A to the point B. Therefore, we just need to reflect the point B over the point A.

Reflecting the point B over the point A give us a point that is located 4 units right and 8 units down from the point B.

Thus, the coordinates of the point D are: (1,-3)