Midpoint and distance between two pointsIB MYP Maths Extended: Flashcards

What these 12 flashcards ask

State the coordinates of the origin.
In (x, y), which number comes first?
Midpoint formula?
Gradient formula?
Distance formula?
Midpoint of (2,8) and (10,-2)?
Gradient through (1,2) and (5,10)?
Distance from (0,0) to (6,8)?
Gradient of a horizontal line?
What does a negative gradient show?
How can you test for a right angle in a triangle on a grid?
How do you show three points are on one straight line?

Exam questions on Midpoint and distance between two points

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
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
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

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).