Bisecting an angle
I can use the properties of a rhombus to construct an angle bisector.
Bisecting an angle
I can use the properties of a rhombus to construct an angle bisector.
Lesson details
Key learning points
- A rhombus can be constructed from two congruent isosceles triangles.
- The diagonals of a rhombus bisect the angles.
- It is possible to construct an angle bisector without drawing the rhombus.
Common misconception
I can use a protractor to measure an angle, then half that angle to bisect it.
Constructions, such as bisecting an angle, are methods of creating & modifying shapes & angles in ways that don't require measurement tools.
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.
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
$$a$$ -
118°
$$b$$ -
31°
$$c$$ -
59°
$$d$$ -
90°