Midpoint and distance between two pointsIB MYP Maths Standard: Mind map

Exam questions on Midpoint and distance between two points

1. On a map of an island, a straight path runs from a lighthouse at $A(-2, 3)$ to a jetty at $B(6, 7)$. One unit on the grid represents 1 km.
   Find the exact length of the path $AB$.2 marks
2. A triangular garden has its corners at $P(1, 1)$, $Q(7, 1)$ and $R(4, 5)$ on a plan where one unit represents 1 m.
   Find the area of the garden.2 marks
3. A quadrilateral $ABCD$ is drawn on a coordinate grid with $A(0, 0)$, $B(4, 3)$, $C(7, -1)$ and $D(3, -4)$.
   Find the lengths of $AB$ and $BC$.3 marks