Perpendicular to a given line through a given point
I can use the properties of a rhombus to construct a perpendicular to a given line through a given point.
Perpendicular to a given line through a given point
I can use the properties of a rhombus to construct a perpendicular to a given line through a given point.
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.
- Shortest distances can be found using constructions with perpendicular lines.
Common misconception
You can't accurately draw the perpendicular to a point on a line segment close to its endpoint.
The perpendicular to a line segment through any point can be found; some line segments just require extending in length first.
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 -
A bisector to line segment QV
b -
A perpendicular to line segment QV
c -
A perpendicular bisector to line segment QV
d -
An intersecting line to line segment QV
Exit quiz
6 Questions
14 cm -
the shortest distance from X to an extension of JK
15 cm -
the shortest distance from X to line segment JK
17 cm -
the radius of circle with centre at point X
28 cm -
the shortest distance from X to point J