Checking and securing understanding of constructing a perpendicular to a given line through a point
I can use the properties of a rhombus to construct a perpendicular to a given line through a given point.
Checking and securing understanding of constructing a perpendicular to a given line through a point
I can use the properties of a rhombus to construct a perpendicular to a given line through a given point.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A rhombus can be constructed from two congruent isosceles triangles.
- This can be used to construct a perpendicular to a line through a point.
- This perpendicular has special properties that can be investigated.
- The line and point could be part of a shape.
Keywords
Bisect - To bisect means to cut or divide an object into two equal parts.
Rhombus - A rhombus is a parallelogram where all sides are the same length.
Congruent - If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are congruent.
Common misconception
"My construction didn't accurately bisect the line segment"
Check that your compasses construct a full circle, and do not slip (and create a spiral-shape). Tighten the screw on your compasses, if possible. Then, if only using construction arcs that look confusing, you can construct full circles to help.
Equipment
Pair of compasses, protractor, ruler.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Starter quiz
6 Questions
Exit quiz
6 Questions
