Dotty Relationship
Thank you to those of you who sent in solutions.
Several of you including Shuaib correctly identified that the lines AB and CD cross at $90$ degrees. Flora observes that the number of squares horizontally and vertically are swapped around when you draw a perpendicular line:
They are the same number of squares although the number of squares has been rotated.Flora goes on to observe that there is more than one solution each time :
because perpendicular lines can be any distance apart.
Alden and Jimmy from Woodstock Primary correctly point out that :
They do not have to be the same length because they can be any length as long as it's a $90$ degree angle.You may also like
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A Cartesian Puzzle
Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.
Transformation Tease
What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?