Question

Which Pair of Triangles can be used to show that the slope of line a is the same anywhere along the line?

A.
image

B.
image

C.
image

D.
image

Answer 1

To determine which pair of triangles can be used to show that the slope of line \( a \) is the same anywhere along the line, we would generally look for congruent triangles formed by drawing horizontal and vertical lines that create right triangles along the line \( a \).

In practical terms, congruent triangles have the same dimensions and their corresponding angles are equal, which indicates that the rise (vertical change) over run (horizontal change) remains constant along the line.

Without the actual images, I cannot specify which pair corresponds to this property. However, you should identify the option where two triangles have:

1. Equal vertical segments (rise)
2. Equal horizontal segments (run)

This will demonstrate that the slope remains the same.

If you have the specific images or more detailed descriptions, I could provide a more targeted answer.