Question

1.4 homework question 23, 1.4.93 part 1 of 10 either prove or disprove the statement, \the points (-5, -3), (-2, -4), and (5,1) are the vertices of a right triangle.\ use a graph only as a guide. let the three points (-5, -3), (-2, -4), and (5,1) be labeled as a, b, and c respectively. graph the triangle formed by the vertices a, b, and c. choose the correct graph below. a. graph b. graph c. graph d. graph

Explanation:

Step1: Identify coordinates

Points: \( A(-5, -3) \), \( B(-2, -4) \), \( C(5, 1) \).

Step2: Analyze graph options

Check the position of each point:

• \( A(-5, -3) \): x=-5, y=-3 (left and down).
• \( B(-2, -4) \): x=-2 (right of A), y=-4 (down of A).
• \( C(5, 1) \): x=5 (right), y=1 (up).

Option A: Positions match A, B, C (A left-down, B right-down of A, C right-up). Other options have incorrect y for A/B or C position.

Answer:

A. (Graph with A at (-5,-3), B at (-2,-4), C at (5,1) as per the coordinate analysis)