Checking and securing understanding of bisecting an angle
I can use the properties of a rhombus to construct an angle bisector.
Checking and securing understanding of 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
- The angle could be the interior angle of a shape
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.
Common misconception
"My construction didn't accurately bisect the angle"
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.
Equipment
Pair of compasses, protractor and 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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Starter quiz
6 Questions
Exit quiz
6 Questions
$$a$$° -
22°
$$b$$° -
44°
$$c$$° -
136°
Not a marked angle -
64°