Question

R(3, 2), S(5, -2), and T(6, 0) are the coordinates of a triangle's vertices. If the triangle is translated down 6 units, what are the coordinates of the image?

Option 1: R'(3, -4), S'(5, -8), T'(6, -6)
Option 2: R'(3, 8), S'(5, 4), T'(6, 6)
Option 3: R'(-3, -4), S'(-1, -8), T'(0, -6)
Option 4: R'(-3, 2), S'(-1, -2), T'(0, 0)

Answer 1

option 1

Step-by-step explanation:

A translation of 6 units down , means subtract 6 from the original y- coordinates , while the x- coordinates remain unchanged , that is

R (3, 2 ) → R' (3, 2 - 6 ) → R' (3, - 4 )

S (5, - 2 ) → S' (5, - 2 - 6 ) → S' (5, - 8 )

T (6, 0 ) → T' (6, 0 - 6 ) → T' (6, - 6 )

Answer 2

To translate a triangle down 6 units, subtract 6 from the y-coordinates of each vertex.

Step-by-step explanation:

To translate a point or shape in a coordinate plane, we need to add or subtract a constant value to the x and y coordinates. In this case, the triangle is translated down 6 units, so we subtract 6 from the y-coordinates of each vertex.

For R(3, 2), the y-coordinate becomes 2 - 6 = -4. Therefore, the new coordinate for R' is (3, -4).

Similarly, for S(5, -2), the y-coordinate becomes -2 - 6 = -8. Therefore, the new coordinate for S' is (5, -8). For T(6, 0), the y-coordinate remains the same, as it is already at the x-axis. Therefore, the new coordinate for T' is (6, 0).