New
New
Year 11
Higher

Checking and securing understanding of constructing the perpendicular bisector of a line segment

I can use the properties of a rhombus to construct a perpendicular bisector of a line segment.

New
New
Year 11
Higher

Checking and securing understanding of constructing the perpendicular bisector of a line segment

I can use the properties of a rhombus to construct a perpendicular bisector of a line segment.

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Lesson details

Key learning points

  1. A rhombus can be constructed from two congruent isosceles triangles
  2. The diagonals of a rhombus meet at right angles and bisect each other
  3. It is possible to construct the perpendicular bisector of a line segment without drawing the rhombus
  4. 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.

If your pupils need further support on this, you can find more lessons in the year 8 constructions unit.
Teacher tip

Equipment

Pair of compasses, 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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6 Questions

Q1.
A is a parallelogram where all sides are the same length and the angles are not equal to 90°.
Correct Answer: rhombus
Q2.
Sofia takes this item from her geometry set. What is the name of this item?
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Correct answer: pair of compasses
protractor
ruler
set square
Q3.
Jacob takes this item from his geometry set. What is the name of this item?
An image in a quiz
pair of compasses
Correct answer: protractor
ruler
set square
Q4.
Triangle ABC has 2 equal sides and 2 equal angles. What type of triangle is ABC?
Correct Answer: isosceles
Q5.
A is a quadrilateral with two pairs of parallel and equal sides.
Correct Answer: parallelogram , rectangle
Q6.
Part of a circle's circumference is called...
Correct answer: an arc
a chord
a diameter
a sector
a segment

6 Questions

Q1.
To means to cut or divide an object into two equal parts.
Correct Answer: bisect
Q2.
Select the properties of a rhombus.
Correct answer: Lines of symmetry bisect each other at right-angles
All the angles are of equal size
Correct answer: 2 lines of symmetry
4 lines of symmetry
Q3.
Two triangles are put together to form a quadrilateral. Which quadrilateral is a rhombus?
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Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
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.
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Correct Answer: 5, five
Q5.
Jacob correctly draws three of the four arcs needed to construct the perpendicular bisector of AB. Which of these statements is correct?
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Point C is closer to A than B.
Point C is closer to B than A.
Correct answer: Point C is equidistant from A and B.
It is impossible to tell if C is closer to A or B.
Q6.
Which of these diagrams show an accurate construction of a perpendicular bisector of the line segment AB?
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Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz