Checking and securing understanding of bisecting an angle

12 questions

1. A perpendicular bisector of the line PQ is a line that is at an angle of ___° to PQ. It cuts PQ exactly in half.
2. Izzy has incorrectly constructed a perpendicular for PQ through R. What is wrong with Izzy's construction?
3. Which of these circles does not help in the construction of the perpendicular to LM through point P?
4. Laura has partially completed a construction for a perpendicular of AB through O. What is incorrect about Laura’s pair of compasses?
5. The diagram shows the perpendicular through Z to the line segment SR. The radius of the circle is ___ cm.
6. The diagram shows the perpendicular through Z to the line segment SR. The shortest distance from Z to the original line segment SR is ___ cm.
7. Aisha constructs the bisector of an angle of 72°. Aisha has made angles of ___°.
8. The diagram shows two congruent isosceles triangles put together to form a rhombus. Match each angle to its size.
9. Starting with the first step, put these steps in order to construct a rhombus given the legs of an angle.
10. Jun wants to construct a rhombus using an angle with leg lengths of 11 cm and 17 cm. The maximum radius of each circle in the construction of this rhombus is ___ cm.
11. Alex begins construction of a rhombus from this angle. The final vertex of the rhombus is at point ___.
12. Sam is constructing an angle bisector. Here are the construction marks. Which two arcs did Sam draw first?

License: OGL