Step 1: Swing Set Repair
A swing set needs repair. The support bar that is at the middle of the A-frame is failing and must be replaced.



1. The legs of the frame SI and GI are each 5 ft long. If the crossbar WN intersects legs SI and GI at their midpoints, how far is point W from point S on the leg? Justify your answer and show all calculations.
Insert Answer Here

2. The distance between point S and point G is 5 feet. Will a piece of wood that is 36 in long be long enough to replace the crossbar labeled WN? Justify your answer and show all calculations.
Insert Answer Here

3. Assuming the ground is flat, is WN parallel to the ground? Justify with the applicable theorem.
Insert Answer Here



Step 2: Using the Centroid


4. Explain the relationship between point Z and the triangle. Justify with the applicable theorem.
Insert Answer Here

5. If the length of GU is 18 units, what is the length of GZ? Show all your calculations and unit measurements.
Insert Answer Here

6. If the length of ZT is 4.8 units, what is the length of OT? Show all your calculations and unit measurements.
Insert Answer Here