Use what you have learned to perform the following constructions. (They can all be done on the same piece of paper) 6 points 1) Construct a right angle using what you have learned in this lesson. Describe the steps you used and justify how you know your construction created a right angle. 2) Construct an angle that measures 45º Describe the steps you used and justify how you know your construction created an angle that measures 45º. 3) Construct an angle that measures 22.5º. Describe the steps you used and justify how you know your construction created an angle that measures 22.5º. In this example, we will use the construction of the angle bisector to construct two congruent triangles. You will use what you have learned in this unit to justify your reasoning as to why the triangles must be congruent. 6 points 1) On your own paper, construct the bisector of ∠BAC. Label your construction as shown. 2) Use what you have learned in this unit to write a proof that shows ΔADF≅ΔAEF. Justify your statements and reasons using your construction and the postulates, definitions and theorems you have learned in this unit . In the diagram shown below, the perpendicular bisector of AB was constructed. Line segments were drawn to connect AC and CB. 6 points Use the construction of a perpendicular bisector to prove ΔACB is isosceles. ABC Company has locations in Colorado Springs and Gunnison. 4 points The CEO wants to expand to other parts of Colorado. He would like the new location to be equidistant from Colorado Springs and Gunnison. Use a construction to find two locations to recommend to the CEO. Justify your response. Complete the construction on the map below.