Question 2 - A-Level Maths

Exam Board	AQA
Module	C1 (Core Mathematics 1)
Year	2010
Session	January
Topic	Straight Lines & Coordinate Geometry

2 The triangle \(A B C\) has vertices \(A ( 1,3 ) , B ( 3,7 )\) and \(C ( - 1,9 )\).

1. Find the gradient of \(A B\).
2. Hence show that angle \(A B C\) is a right angle.
1. Find the coordinates of \(M\), the mid-point of \(A C\).
2. Show that the lengths of \(A B\) and \(B C\) are equal.
3. Hence find an equation of the line of symmetry of the triangle \(A B C\).