Coordinate Geometry Structured Questions | Cambridge O Level Mathematics (Syllabus D)

Question 1 of 5 · 8 marks

Coordinate Geometry · 1 - Coordinates & Parallelograms

3 parts

Mathematics (Syllabus D) 4024 · Question 1Paper 2 · Calculator[8 marks]

Points $A(-2, -3)$ , $B(4, 5)$ , and $C(6, 1)$ are consecutive vertices of parallelogram $ABCD$ .

(a)

Work out the gradient of line segment $AB$ and the coordinates of the midpoint $M$ of diagonal $AC$ .

[2]

(b)

Calculate the coordinates of vertex $D$ .

[3]

(c)

Calculate the exact area of parallelogram $ABCD$ .

[3]