Question

Is RS a translation of DF? Select Yes or No for each statement.

R(2, 2), S(5, 2), D(3, 3), F(5, 3)
R(-1, 3), S(2, -2), D(-4, 2), F(-1, -3)
R(5, -1), S(2, 2), D(1, -4), F(-1, -3)

a. Yes, Yes, No
b. Yes, No, No
c. No, No, Yes
d. No, Yes, Yes

Answer 1

After comparing the changes in coordinates between points R to S and D to F for each set, the correct answer is that RS is a translation of DF only for the second set of points. The correct sequence of Yes or No for each statement is Yes, No, No.

Step-by-step explanation:

To determine whether RS is a translation of DF for each set of points, we need to compare the changes in the x and y coordinates between R to S and D to F.

For the first set of points, R(2, 2) to S(5, 2), the change is (+3, 0). For D(3, 3) to F(5, 3), the change is (+2, 0). These changes are not equal, so RS is not a translation of DF.

The second set, R(-1, 3) to S(2, -2), the change is (+3, -5). For D(-4, 2) to F(-1, -3), the change is also (+3, -5). These changes are equal, so RS is a translation of DF.

For the third set of points, R(5, -1) to S(2, 2), the change is (-3, +3). For D(1, -4) to F(-1, -3), the change is (-2, +1). These changes are not equal, meaning RS is not a translation of DF.

The correct answer is therefore Yes, No, No, corresponding to option b.