Question

The vertices of △ RST are R(-6,5), S(-7,-2) l, and T(1,4). State the coordinates of △ R'S'T 'the image of △ RST after a R₉₀. [The use of the set of axes below is optional.]

Answer 1

The coordinates of triangle R'S'T' after a 90-degree rotation are R'(5, -6), S'(-2, -7), and T'(4, 1).

Step-by-step explanation:

To determine the coordinates of the image of triangle RST after a 90-degree rotation, we can use the formula for rotating a point (x, y) counterclockwise about the origin:

x' = x*cos(θ) - y*sin(θ)

y' = x*sin(θ) + y*cos(θ)

Using this formula, we can substitute the coordinates of each vertex of triangle RST and θ = 90 degrees to find the coordinates of the new vertices.

R' = (5, -6)

S' = (-2, -7)

T' = (4, 1)