Checking and securing understanding of constructing the perpendicular bisector of a line segment
Lesson details
Learning outcome
I can use the properties of a rhombus to construct a perpendicular bisector of a line segment.
Key learning points
- A rhombus can be constructed from two congruent isosceles triangles
- The diagonals of a rhombus meet at right angles and bisect each other
- It is possible to construct the perpendicular bisector of a line segment without drawing the rhombus
- The line segment could be part of a shape
Keywords
Bisect - To bisect means to cut or divide an object into two equal parts.
Perpendicular - Two lines are perpendicular if they meet at right angles.
Rhombus - A rhombus is a parallelogram where all sides are the same length.
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.
Teacher tip
If your pupils need further support on this, you can find more lessons in the year 8 constructions unit.
Equipment
Pair of compasses, ruler.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.A is a parallelogram where all sides are the same length and the angles are not equal to 90°.
Q2.Sofia takes this item from her geometry set. What is the name of this item?
Q3.Jacob takes this item from his geometry set. What is the name of this item?
Q4.Triangle ABC has 2 equal sides and 2 equal angles. What type of triangle is ABC?
Q5.A is a quadrilateral with two pairs of parallel and equal sides.
Q6.Part of a circle's circumference is called...
Assessment exit quiz
6 Questions
Q1.To means to cut or divide an object into two equal parts.
Q2.Select the properties of a rhombus.
Q3.Two triangles are put together to form a quadrilateral. Which quadrilateral is a rhombus?
Q4.Aisha correctly draws three of the four arcs needed to construct the perpendicular bisector of LM. Point A is 5 cm away from point L. Point B is cm away from point M.
Q5.Jacob correctly draws three of the four arcs needed to construct the perpendicular bisector of AB. Which of these statements is correct?
Q6.Which of these diagrams show an accurate construction of a perpendicular bisector of the line segment AB?
To help you plan your 11 maths lesson on: Checking and securing understanding of constructing the perpendicular bisector of a line segment, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 11 maths lesson on: Checking and securing understanding of constructing the perpendicular bisector of a line segment, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Loci and construction unit, dive into the full secondary maths curriculum, or learn more about lesson planning.