Constructing a triangle given two side lengths and the angle between them using a compass

12 questions

1. Andeep sets his compasses to the width shown in the diagram. Without changing the setting, Andeep draws a circle. The diameter of the circle is ___ cm.
2. What equipment do you need in order to accurately construct a perpendicular bisector?
3. Sofia is using GeoGebra to accurately draw a triangle with side lengths 6 units, 8 units and 10 units. Which of these tools should Sofia use to find the points where her two circles intersect?
4. Lucas and Sofia both accurately construct triangles of sides 8 cm, 9 cm and 11 cm. Which statement is correct?
5. Here are two circles with centres A and B. The circles meet at C and D. The radius of the circles are 8.5 cm and 9.6 cm. The distance between their centres is 7.3 cm. Match each length to its value.
6. Match each step to the correct instruction needed to construct a triangle ABC with sides 5 cm, 6 cm and 7 cm.
7. The diagram shows part of a protractor measuring an angle. What is the size of the angle?
8. The diagram shows a protractor measuring an angle. What is the size of the angle?
9. Jacob is using GeoGebra to accurately draw a triangle with side lengths 8 units, 9 units and an angle of size 67° between them. Which tool should Jacob use to construct the angle?
10. A pair of compasses is used to draw an arc. The value of x is ___.
11. Jun draws a ray line and a circle with radius 5 units then marks their intersection with point C. Which line segment has a length of 5 units?
12. Starting with the first step, put these instructions in the correct order to construct triangle ABC.

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