OCR MEI C1 — Question 8

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
TopicStraight Lines & Coordinate Geometry

8 \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{d2142d2d-661b-4340-893f-f97f828c6855-2_447_763_602_690} \captionsetup{labelformat=empty} \caption{Fig. 10}
\end{figure} Fig. 10 is a sketch of quadrilateral ABCD with vertices \(\mathrm { A } ( 1,5 ) , \mathrm { B } ( - 1,1 ) , \mathrm { C } ( 3 , - 1 )\) and \(\mathrm { D } ( 11,5 )\).
  1. Show that \(\mathrm { AB } = \mathrm { BC }\).
  2. Show that the diagonals AC and BD are perpendicular.
  3. Find the midpoint of AC . Show that BD bisects AC but AC does not bisect BD .