Constructing a triangle given two side lengths and an angle not between them

12 questions

1. A pair of compasses is a tool which can be used to draw __________ and __________.
2. To create a right-angle you can construct a ___ bisector.
3. Alex is constructing a right-angled triangle and has drawn a line segment. Which tool can be used to construct the perpendicular bisector of his line?
4. The diagram shows a right-angled triangle constructed from two circles. The length of the hypotenuse is ___ cm.
5. The diagrams below show constructions for two congruent triangles. What is the radius of each circle in the diagram on the right?
6. Match each step to the correct instruction in order to construct the triangle ABC where the hypotenuse, AB, is 13 cm and BC is 5 cm.
7. Which angle is 48°?
8. Match the tools with what they are useful for when constructing a triangle.
9. Match each triangle to the type of triangle it is.
10. Alex makes an accurate drawing of the triangle in the sketch. Which point should Alex join Q to?
11. The following information is given for five different triangles. Alex and Sam both accurately construct each triangle. Which triangle information will definitely produce 2 congruent triangles?
12. Starting with the first step, put these instructions in the correct order to construct the triangle PQR.

License: OGL