Question

question 23, 1.4.93
part 1 of 10
either prove or disprove the statement, \the points (-6, -1), (-1, -3), and (5,2) are the vertices of a right triangle.\ use a graph only as a guide.
let the three points (-6, -1), (-1, -3), and (5,2) be labeled as a, b, and c respectively. graph the triangle formed by the vertices a, b, and c. choose the correct graph below.
(options a, b, c, d with coordinate plane graphs)

Explanation:

Step1: Identify coordinates

Points: \( A(-6, -1) \), \( B(-1, -3) \), \( C(5, 2) \).

Step2: Analyze graph options

Check the position of each point:

• \( A(-6, -1) \): x=-6, y=-1 (left, slightly below x-axis).
• \( B(-1, -3) \): x=-1, y=-3 (right of A, lower y).
• \( C(5, 2) \): x=5, y=2 (right, above x-axis).

Look for graph with these positions. Option D (assuming D has A at (-6,-1), B at (-1,-3), C at (5,2) correctly plotted).

Answer:

D (assuming the graph in option D correctly plots \( A(-6, -1) \), \( B(-1, -3) \), and \( C(5, 2) \) as described)