11.
1 answer:
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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 (-1, 0)
A' → (-y,x) = (0,1)
- B(0, -1)
B' → (-y,x) = (1, 0)
- C(-2, -3)
C' → (-y,x) = (3, -2)
- D(-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
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The expression which is equivalent to the provided expression of variable x is,
Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given expression in the problem is,
Let the equivalent expression of this expression is f(<em>x)</em>. Thus,
The number, with negative power, can be written in the fraction of 1 with the same but positive power or exponent. Therefore,
Solve it further as,
Hence, the expression which is equivalent to the provided expression of variable x is,
Learn more about the equivalent expression here;