<u>Hello:</u>
<u />
<u>Okay, this problem should be taken in a series of steps</u>:
<u>What is the slope's formula?</u>
<u>Okay, now let's use this knowledge</u>
10. (5,-19) and (-5,21)
11. (12,1) and (12, -1)
12. (8,7) and (4,7)
<u>Answer:</u>
Hopefully that helps!
Answer:
The 2nd picture is right answer as it has coordinates as A'(0, 1), B'(1, 0), C'(3, -2), and D'(2, -3). The corresponding answer picture is attached below.
Step-by-step explanation:
As we know that when a figure is rotated 90° counterclockwise about the origin, the side of the points of the figure are switched, and the sign of the y-coordinated is reversed.
Thus, the rule to rotate the point of any figure is rotated 90° counterclockwise about the origin is:
→
Considering the quadrilateral ABCD in the first figure having the vertices A(-1, 0), B(0, -1), C(-2, -3), and D(-3 , -2) respectively.
So, after quadrilateral ABCD is rotated counterclockwise 90° about the origin,
A' → (-y,x) = (0,1)
B' → (-y,x) = (1, 0)
C' → (-y,x) = (3, -2)
D' → (-y,x) = (2, -3)
So, the coordinates of a quadrilateral ABCD after a rotation of 90° about the origin would be A'(0, 1), B'(1, 0), C'(3, -2), and D'(2, -3) respectively.
Therefore, the 2nd picture is right answer as it has coordinates as A'(0, 1), B'(1, 0), C'(3, -2), and D'(2, -3). The corresponding answer picture is attached below.
Keywords: 90° rotation about the origin, transformation, quadrilateral
Learn more about 90° rotation about the origin and transformation from brainly.com/question/10521609
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