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 2 years 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)
 2 years 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)

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

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.4It 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)

Compassionate
 2 years ago
Best ResponseYou've already chosen the best response.2When 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!

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