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Alenkinab [10]
3 years ago
10

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?

Mathematics
2 answers:
JulsSmile [24]3 years ago
8 0

Answer:

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

(x,y)\rightarrow (-y,x)

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

F(-7,5)\rightarrow F'(-5,-7)

G(-4,3)\rightarrow G'(-3,-4)

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

Crazy boy [7]3 years ago
4 0

You haven't provided the coordinates of the original trapezium, therefore, I can only help with the concept.

From the givens, we can know that the rotation was 90° counter-clockwise about the origin.

<u>The rule for this rotation is:</u>

(x , y) ..............> (-y , x)

This means that to get the points of the rotated image, negate the y-value then exchange it with the x-value

<u>Examples:</u>

(1 , 3) rotated 90° counter-clockwise about the origin will give (-3 , 1)

(-2 , 4) rotated 90° counter-clockwise about the origin will give (-4 , -2)

(1 , -2) rotated 90° counter-clockwise about the origin will give (2 , 1)

(-3 , -5) rotated 90° counter-clockwise about the origin will give (5 , -3)

Hope this helps :)


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