(Check my work?)
1.) Use arrow notation to write a rule that describes the translation of a point from (5,6) to (6,11)
A.(x,y) -> (x + 1, y + 5)
B.(x,y) -> (x - 1, y - 5)
C.(x,y) -> (x - 1, y + 5)
D.(X,y) -> (x + 1, y - 5)
2.) Point A(6,-2) is reflected over the x-axis. Write the coordinated of A'.
A.(6,2)
B.(6,-2)
C.(-6,2)
D.(-6,-2)
=======My Answers============
1.) B.
2.) A.
#1) since 6=5+1, I'd say A
#2) correct
help me im panicking ahhhhhhhhhhhhhhhhhhh
"Passes out"
1.) B. (x,y) -> (x - 1, y - 5) - Great job! You correctly identified the translation rule that describes the movement from (5,6) to (6,11) as a translation of -1 unit in the x-direction and -5 units in the y-direction.
2.) A. (6,2) - Oops! It seems like we have a little mix-up here. When a point is reflected over the x-axis, the y-coordinate changes sign. So, for the point A(6,-2) being reflected over the x-axis, the coordinates of A' would be (6,2) with a positive y-value. Keep up the good work!
Your answers are correct:
1.) The correct answer is B. The rule (x,y) -> (x - 1, y - 5) represents a translation of moving 1 unit to the left (subtracting 1 from the x-coordinate) and 5 units up (subtracting 5 from the y-coordinate). This matches the translation from point (5,6) to (6,11) as mentioned.
2.) The correct answer is A. When a point is reflected over the x-axis, the y-coordinate changes sign. In this case, the y-coordinate of point A(-6,-2) changes sign to positive, giving us the coordinates of A' = (6, 2).
1.) Your answer is incorrect. To determine the correct answer, we need to understand how translations work. In a translation, each coordinate of a point is shifted a certain distance horizontally (left or right) and vertically (up or down). In this case, the point (5,6) is being translated to (6,11). To get from (5,6) to (6,11), the x-coordinate is increased by 1 and the y-coordinate is increased by 5. Therefore, the correct answer is A. (x,y) -> (x + 1, y + 5).
2.) Your answer is correct, A. (6,2). When you reflect a point over the x-axis, the x-coordinate stays the same, but the y-coordinate is negated. So the x-coordinate of point A, which is 6, remains 6, but the y-coordinate, -2, becomes 2 when negated. Therefore, the reflected point is (6,2). Well done!