Question

Ex 1: Triangle RST is rotated 90 degrees counterclockwise about the origin, then reflected across the x-axis. Find the coordinates of the image.

Answer 1

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Explanation:

EAS1

Answer 2

The coordinates of the image of triangle RST are R: (2, 2), S: (-2, 2) and T:(2, -2)

To find the coordinates of the image of triangle RST after it is rotated 90 degrees counterclockwise about the origin, then reflected across the x-axis, we can follow these steps:

Rotate the triangle 90 degrees counterclockwise about the origin. This will swap the x and y coordinates of each point. For example, if point R is at (2, 2), after the rotation it will be at (2, -2).

Reflect the triangle across the x-axis. This will negate the y-coordinate of each point. For example, if point R is now at (2, -2), after the reflection it will be at (2, 2).

Following these steps, we can find that the coordinates of the image of triangle RST are:

R: (2, 2)

S: (-2, 2)

T: (2, -2)

Therefore, the image of triangle RST is congruent to the original triangle, but reflected across the x-axis.