Answer: For the first image, D will be the correct answer. For the second image, A will be the correct answer.
Step-by-step explanation:
The first image has a quite simple answer because translating the shape just means moving every point in the direction given according to some many units. In this case, we would be translating points A(-4,3), B(-3,1), and C(-1,2) 5 units right and 5 units down to get us the prime points of A'(1,-2), B'(2,-4), C'(4,-3).
In the second image, a reflection just describes a flip over some line, known as the line of reflection. We change the point's signs depending on the line of symmetry we are given when reflecting (in this case, the y axis). Reflecting the trapezoid over the y axis will result in a change of signs of the x values of the given points. Point A of the trapezoid is located on coordinate (-2,2), after the reflection, it will be located on point (2,2). Points B will reflect from point (-1,2) to point (1,2). Point C will reflect from (-1,1) to (1,1). Finally, point D will reflect from point (-3,1) to (3,1). After this reflection, we have to perform the same one except only the y values of our coordinates will change because we are reflecting over the x axis. After you graph the trapezoid from the previous reflection, do the same thing by just changing the y values of the coordinates to get your desired image.
