Intermediate June 2022 Unit 2 Q2
2.
(a) \(B\) is the midpoint of the line \(AC\).
Find the coordinates of \(C\). [2]
Find the coordinates of \(C\). [2]
\(C\) (………………… , …………………)
(b) \(A\) and \(B\) are two vertices of a right-angled triangle.
Point \(D\) is to be plotted on the grid above so that the triangle \(ABD\) is a right-angled triangle.
The \(x\)-coordinate of \(D\) is negative.
Give the coordinates of a possible position of the point \(D\) that can be plotted on the grid above. [2]
Point \(D\) is to be plotted on the grid above so that the triangle \(ABD\) is a right-angled triangle.
The \(x\)-coordinate of \(D\) is negative.
Give the coordinates of a possible position of the point \(D\) that can be plotted on the grid above. [2]
\(D\) (………………… , …………………)
| Scheme | Marks | Comments |
|---|---|---|
| (1, 0) | B2 | Award B1 for one of the following:
|
| Scheme | Marks | Comments |
|---|---|---|
(-1, 6) OR (-2,7) | B2 | Award B2 for any point that satisfies the conditions e.g. (-1.5, 6.5) Award B1 for one of the following:
(0,5) (1,4) (2,3) (4,1) (5,0) (6,-1) (7,-2) (3,4) (5,2) (2,7) (3,6) (4,5) (6,3) (7,2)  |