# Coordinates and Geometry

Triangle ABC has vertices A(1,1), B(4,7), C(7,1).

- Plot the points on the coordinate grid. Use the polygon tool to make the vertices into a triangle.
- What kind of triangle is ABC? Explain your reasoning.
- Plot the midpoints of sides AC and BC. Note the coordinates of the midpoints. How do they relate to the endpoints of the segment?
- 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?
- What other questions might be investigated about this triangle?

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