Triangle ABC has vertices located at A( 0, 2), B (2, 5), and C (−1, 7). Part A: Find the length of each side of the triangle. Show your work. (4 points)

Part B: Find the slope of each side of the triangle. Show your work. (3 points)

Part C: Classify the triangle. Explain your reasoning. (3 points)

Question 2 (Essay Worth 10 points)
(04.02 MC)

Triangle ABC has been rotated 90° to create triangle DEF. Write the equation, in slope-intercept form, of the side of triangle ABC that is perpendicular to segment EF. You must show all work to receive credit.

Triangles ABC and DEF are shown. A is at 4, 2. B is at 4, 5. C is at 1, 2. D is at 2, negative 4. E is at 5, negative 4. F is at 2, negative 1. Line BC and line EF intersect at point 0, 1.

Question 3 (Essay Worth 10 points)
(04.03 MC)

A point Q on a segment with endpoints A (2, −1) and C (4, 2) partitions the segment in a 4:1 ratio. Find Q. You must show all work to receive credit.

Question 4 (Essay Worth 10 points)
(04.03 MC)

Find the area of the following shape. You must show all work to receive credit.

shape with vertices located at negative 4 comma 0, 0 comma 4, 2 comma 2, 0 comma 2, and 0, 0