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The coordinates of rectangle ABCD are A(3, 6), B(8, 6), C(8, 2), D(3, 2). What are the coordinates of the point of intersection of the diagonals of the rectangle after the rectangle is reflected across the yaxis?
Answer
(5.5, 4)
(5.5, 4)
(2.5, 4)
(5.5, 2)
 one year ago
 one year ago
The coordinates of rectangle ABCD are A(3, 6), B(8, 6), C(8, 2), D(3, 2). What are the coordinates of the point of intersection of the diagonals of the rectangle after the rectangle is reflected across the yaxis? Answer (5.5, 4) (5.5, 4) (2.5, 4) (5.5, 2)
 one year ago
 one year ago

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CompassionateBest ResponseYou've already chosen the best response.2
diagonals intersect at their midpoint, ( (8+ 2)/2, (6+3)/2) which is (5, 4½) ...
 one year ago

CallistoBest ResponseYou've already chosen the best response.4
It might be wrong.... dw:1338856590145:dw The point of intersection of the rectangle should be the ''centre'' of the rectangle.. so, the xcoordinate should share the same xcoordinate with the midpoint of AB the ycoordinate should share the same ycoordinate with the midpoint of BC xcoordinate of the intersection point = [(3)+{8)]/2 = 5.5 ycoordinate of the intersection point = (6+2)/2 = 4 Since the rectangle is reflection along yaxis, the xcoordinate will become positive So, the point is (5.5, 4)
 one year ago

CallistoBest ResponseYou've already chosen the best response.4
dw:1338856970499:dw
 one year ago

CompassionateBest ResponseYou've already chosen the best response.2
When you reflect over the x axis, it negates the y coordinate. A'(8,6); B' (2,6); C' (2,3) ; D'(8,3) The diagonals bisect each other since it is a rectangle. They intersect at their midpoints. The midpoint of A'C' =( (8+2)/2, (6+3)/2 )= (5, 4.5) Hoping this helps!
 one year ago

CallistoBest ResponseYou've already chosen the best response.4
Here's what I've got from GeoGebra : E is the intersection of diagonals, while F is the point reflected along yaxis
 one year ago
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