Triangle ABC has vertices A(1,1), B(4,7), C(7,1). [br][list=1][*]Plot the points on the coordinate grid. Use the polygon tool to make the vertices into a triangle. [br][br][/*][*]What kind of triangle is ABC? Explain your reasoning.[br][br][/*][*]Plot the midpoints of sides AC and BC. Note the coordinates of the midpoints. How do they relate to the endpoints of the segment? [br][br][/*][*]Construct the segment connecting these midpoints. Find the slopes of AB and the segment joining the midpoints. What do you notice? What does this tell you about the two segments?[br][br][/*][*]What other questions might be investigated about this triangle?[/*][/list]