The plate is rotated 90° about the origin in the counterclockwise direction. in the rotated trapezoid, what are the coordinates of the endpoints of the side congruent to side fg?

F'(-5,-7) and G'(-3,-4).

Step-by-step explanation:

Consider the below figure attached with this question.

From the below figure it is clear that the vertices of trapezoid are E(-4,8), F(-7,5), G(-4,3) and H(-2,5).

If a figure is rotated 90° about the origin in the counterclockwise direction, then the rule of rotation is

We need to find the coordinates of the endpoints of the side congruent to side FG. It means we have to find F' and G'.

Using the above rule we get

Therefore, the endpoints of the side congruent to side FG are F'(-5,-7) and G'(-3,-4).

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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