Tati_Lee
The coordinates of rectangle ABCD are A(-8, 6), B(-2, 6), C(-2, 3), D(-8, 3). What are the coordinates of the point of intersection of the diagonals of the rectangle after the rectangle is reflected across the x-axis?
(5, 1.5)
(5, 4.5)
(-5, -4.5)
(-5, 1.5)
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Tati_Lee
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@jim_thompson5910 can you help me
jim_thompson5910
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First find the midpoint of segment AB
jim_thompson5910
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Do you know how to do that?
Tati_Lee
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yes
jim_thompson5910
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so what is the midpoint of AB
Tati_Lee
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(-5,6)
jim_thompson5910
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now find the midpoint of BC
jim_thompson5910
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and tell me what you get
Tati_Lee
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0,4.5
jim_thompson5910
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you should have gotten (-2,4.5)
jim_thompson5910
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now call the midpoint of AB point M
call the midpoint of BC point N
Tati_Lee
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ohh i subtracted the first one instead of adding my bad
jim_thompson5910
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the diagonals will cross at the point that has the x coordinate of M and the y coordinate of N
So the diagonals will cross at (-5,4.5)
Tati_Lee
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but thats not one of the choices
jim_thompson5910
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oh, you have to reflect it over the x axis, so the y coordinate will flip in sign and become -4.5
jim_thompson5910
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so the intersection of the diagonals is (-5,-4.5)