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Gnesinka [82]
3 years ago
12

A rectangle with the vertices (3, -2), (3, -4), (7, -2), (7, -4) is reflected across the x-axis and the rotated 90 degrees count

er clockwise
Mathematics
1 answer:
irga5000 [103]3 years ago
4 0

Answer:

The new vertices are: (-2,3),(-4,3),(-2,7),(-4,7)

Step-by-step explanation:

The given vertices are (3,-2),(3,-4),(7,-2),(7,-4)

Rule for reflection about x axis is (x,y)→(x,-y).

So, (3,-2)→(3,2)

     (3,-4)→(3,4)

     (7,-2)→(7,2)

     (7,-4)→(7,4)

Now, new vertices after reflection about x axis are (3,2),(3,4),(7,2),(7,4).

Rule for 90 degree rotation counter-clockwise is (x,y)→(-y,x).

So, (3,2)→(-2,3)

     (3,4)→(-4,3)

     (7,2)→(-2,7)

     (7,4)→(-4,7)

Therefore, the new rectangle after reflection about x axis and rotated 90 degrees counter-clockwise has the following vertices:

(-2,3),(-4,3),(-2,7),(-4,7)

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