To analyze the information provided, let's break it down step by step.
Part (a): Find the run, rise, and slope given by triangle A
Assuming triangle \( A \) is constructed based on points along the line, we can denote:
- Run: The horizontal distance between the two points of the triangle.
- Rise: The vertical distance between the two points of the triangle.
- Slope: The slope formula is given by \(\text{slope} = \frac{\text{rise}}{\text{run}}\).
Without specific coordinates or a graph indicated, we can't compute exact values, but if triangle \( A \) was determined using points on the line, record the points and compute the run and rise accordingly.
Part (b): Find the run, rise, and slope given by triangle B
Using the same method as above for triangle \( B \):
- Run: The horizontal distance between the two points of the triangle.
- Rise: The vertical distance between the two points of the triangle.
- Slope: Again use \(\text{slope} = \frac{\text{rise}}{\text{run}}\).
The specific values depend on the coordinates of triangle \( B \).
Part (c): Are the two slopes computed above equal? Why or why not?
Given your options, the correct choice depends on the situation. If both triangles are right triangles drawn on the same line, then they are both representing the slope of the same line, which means:
- Yes. They are equal because the two triangles are similar.
Similarity ensures that while the triangles may differ in size, their corresponding ratios (rise/run) remain constant, resulting in the same slope.
Thus, the correct answer you should choose from the options provided is:
Yes. They are equal because the two triangles are similar.