Question

Which two of the following mapping statements describe the same translation?

A.(6,−9)↦(0,1)(6,−9)↦(0,1)
B.(−3,7)↦(−9,10)(−3,7)↦(−9,10)
C.(2,4)↦(−4,1)(2,4)↦(−4,1)
D.(1,−5)↦(−5,−2)(1,−5)↦(−5,−2)

Answer 1

The two mapping statements that describe the same translation are (6,-9) --> (0,1) and (1,-5) --> (-5,-2).

Step-by-step explanation:

The two mapping statements that describe the same translation are:

(6,-9) --> (0,1) and (1,-5) --> (-5,-2).

To determine if two mapping statements describe the same translation, we need to check if the corresponding coordinates have the same difference. For example, in the first mapping statement, the x-coordinate changes by -6 (=0-6) and the y-coordinate changes by 10 (=1-(-9)). In the second mapping statement, the x-coordinate changes by -6 (= -5-1) and the y-coordinate changes by 7 (= -2-(-5)). Since the differences in both cases are the same, these two mapping statements describe the same translation.