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The vertices of a triangle are A(2,5), B(1, 2), C(3,1). Find the coordinates of the image after a reflection in the x-axis, and then a rotation 90° counterclockwise about the origin.

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User Elytscha Smith
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5 votes
Answer:
The images are;
A' (5,2) B' (2,1) and C' (1,3)
Explanation:
Firstly, we want to reflect across the x-axis
When we reflect a point (x,y) over X-axis, we
get (x,-y)
SO;
A (2,5) becomes (2,-5)

B (1,2) becomes (1,-2)
C(3,1) becomes (3,-1)
Then we proceed to rotate 90 degrees
counterclockwise about the origin
Here we have;
(×,y) becomes (-y,x)
(2,-5) becomes (5,2)
(1,-2) becomes (2,1)
(3,-1) becomes (1,3)
User Abhijeet Dhumal
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