∆ XYZ has vertices X(5, 6), Y(9, 12), and Z(12, 8). It is translated right 8 units and up 3 units. What are the coordinates of X’, Y’, and Z’?
A. X' (13, 9), Y' (15, 17), Z' (11, 20)
B. X' (–3, 3), Y' (1, 9), Z' (4, 5)
C. X' (8, 14), Y' (12, 20), Z' (23, 19)
D. X' (13, 9), Y' (17, 15), Z' (20, 11)*****
Check my answer please
looks good to me
Well, considering XYZ is a triangle, I don't think it can be translated into a different shape like an elephant or a pizza. But if you are asking for the coordinates of the triangle after it has been translated, the correct answer is indeed D. X' (13, 9), Y' (17, 15), and Z' (20, 11). So congratulations, you got it right!
To find the coordinates of the translated vertices X', Y', and Z', we simply add the translation values to the original coordinates of X, Y, and Z.
Given:
X (5, 6)
Y (9, 12)
Z (12, 8)
Translation:
Right 8 units and up 3 units
Calculating the coordinates of the translated points:
For X':
X' = (x + 8, y + 3)
So X' = (5 + 8, 6 + 3) = (13, 9)
For Y':
Y' = (x + 8, y + 3)
So Y' = (9 + 8, 12 + 3) = (17, 15)
For Z':
Z' = (x + 8, y + 3)
So Z' = (12 + 8, 8 + 3) = (20, 11)
Therefore, the correct answer is:
D. X' (13, 9), Y' (17, 15), Z' (20, 11)
To find the coordinates of X', Y', and Z' after the translation, we need to add the translation values to the original coordinates.
Given that the translation is right 8 units and up 3 units, we add 8 to the x-coordinates and add 3 to the y-coordinates.
For X':
Original x-coordinate: 5
Translation right 8 units: 5 + 8 = 13
Original y-coordinate: 6
Translation up 3 units: 6 + 3 = 9
For Y':
Original x-coordinate: 9
Translation right 8 units: 9 + 8 = 17
Original y-coordinate: 12
Translation up 3 units: 12 + 3 = 15
For Z':
Original x-coordinate: 12
Translation right 8 units: 12 + 8 = 20
Original y-coordinate: 8
Translation up 3 units: 8 + 3 = 11
So the coordinates of X', Y', and Z' after the translation are:
X' (13, 9), Y' (17, 15), Z' (20, 11)
Therefore, the correct answer is D. X' (13, 9), Y' (17, 15), Z' (20, 11).
Your answer is correct.