Question

Graph ARST with vertices R (2,3), S(-2, 1) and T (-1,5). Use ARST and complete the following composition.

First reflect the triangle over the I - axis
Secondly, rotate the reflected triangle 270 clockwise about the origin.

Answer 1

To graph triangle ARST and complete the transformations on a coordinate plane, first plot the vertices, then reflect over the x-axis, and finally rotate the reflected triangle 270 degrees clockwise about the origin.

Step-by-step explanation:

To graph triangle ARST with given vertices and complete the composition, follow these steps:

• Plot the points R (2,3), S(-2, 1), and T (-1,5) on a coordinate plane.
• Connect the points to form triangle ARST.
• Reflect triangle ARST over the x-axis (I - axis) to obtain the new coordinates of the reflected triangle.
• Rotate the reflected triangle 270 degrees clockwise about the origin.

The reflection over the x-axis will invert the y-coordinates of the vertices, resulting in the points R' (2,-3), S'(-2, -1), and T' (-1,-5).

To rotate 270 degrees clockwise about the origin, new coordinates can be found by transforming each point (x, y) to (y, -x). Thus, after the rotation, the final points will be R" (3, -2), S" (1, 2), and T" (5, 1).