Perpendicular bisector of a line segment
I can use the properties of a rhombus to construct a perpendicular bisector of a line segment.
Perpendicular bisector of a line segment
I can use the properties of a rhombus to construct a perpendicular bisector of a line segment.
Lesson details
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.
Common misconception
I can use a ruler to measure the midpoint of a line segment, and a protractor to find 90°.
Constructions, such as perpendicular bisectors, are methods of creating & modifying shapes & angles in ways that don't require measurements.
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.
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).
Video
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Starter quiz
6 Questions
$$a$$ -
22°
$$b$$ -
44°
$$c$$ -
68°
$$d$$ -
90°
Exit quiz
6 Questions
point A -
7 cm away from Y and greater than 7 cm away from Z.
point B -
7 cm away from Y and less than 7 cm away from Z.
point C -
7 cm away from Z and greater than 7 cm away from Y.
point D -
7 cm away from both Y and Z.