A rotated rectangle
8 written marks
\(A(-1,2), B(5,4), C(4,7)\) are consecutive vertices of a rectangle ABCD.
Part a · 3 marks
Use squared lengths to verify that the angle at B is a right angle.
Part b · 2 marks
Find D and the intersection M of the diagonals.
Part c · 3 marks
Find the exact perimeter and area of the rectangle.
Complete-answer checking, worked solutions and indicative written criteria.
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