It is asking you to work out the coordinates for the fourth vertex of the parallelogram.
Let's practise
What are the missing coordinates for the vertex of the parallelogram?
( , )
- Read the question and then read it again. What is it asking you to do?
Show me
- Three coordinates are given.
Show me
Write known numbers on the axes using the coordinates you have been given.
- What else do you already know?
Show me
The missing coordinate is at the same position on the y axis as the coordinate (–1,–6) because it is a horizontal line.
- The name of the shape is given. Think about the properties of the shape.
How does this help you?
Show me
The shape is a parallelogram so it has two pairs of parallel sides.
The distance between the coordinates (–3,5) and (2,5) must be equal to the distance between the missing coordinates and (–1,–6).
- Do you have enough information now to identify the missing coordinate?
Show me
Yes; the distance between (–3,5) and (2,5) is 5, so this pair of parallel sides are both 5.
You need to count 5 back along the x axis from (–1,–6).
This is (–6,–6).
- What is your answer?
Check your working. Have you given the x coordinate first?
Show me
(–6,–6)