Constructing a triangle given three side lengths using compasses

12 questions

1. Supplementary angles are a pair of angles that sum to ___°.
2. The diagram shows the perpendicular bisector of AB that passes through the point P. The perpendicular intersects AB at point O. Which of these constructions will produce a 45° angle?
3. EC is a perpendicular to AD. The angle AOC is bisected. Match each angle to its size.
4. The line segments AB and BC form an angle of 120°. Which of these constructions creates a 60° angle?
5. Line segments AB and BC are the legs of a 136° angle. The diagram shows the two constructions that are applied to ABC. The angle x° is ___°.
6. Line segments AB and BC are the legs of a 136° angle. The diagram shows the two constructions that are applied to ABC. The angle z° is ___°.
7. Jacob sets his compasses to the width shown in the diagram. Without changing the setting, Jacob draws a circle. The diameter of the circle is ___ cm.
8. What equipment do you need in order to accurately construct a triangle given the length of 3 sides?
9. Jun is using GeoGebra to accurately draw a triangle with side lengths 6 units, 8 units and 10 units. Which of these tools should Jun use to draw the first side of the triangle?
10. Jun and Izzy both accurately construct triangles of sides 6 cm, 7 cm and 9 cm. Which statement is correct?
11. Here are two circles with centres A and B. The circles meet at C and D. The radius of the circles are 7.2 cm and 9.1 cm. The distance between their centres is 6.4 cm. Match each length to its value.
12. Starting with the first step, put these instructions in the correct order to construct triangle ABC with sides 4 cm, 5 cm and 6 cm.

License: OGL