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






















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






















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 need to consider triangles formed by points on the line. The key feature that indicates the slope remains constant is the similar triangles formed by the vertical and horizontal distances along the line.

If the images of the triangles were provided, we could analyze them directly, but since they are not available here, the general principle is as follows:

- Look for triangles that share a common vertex and are positioned such that they show the vertical change (rise) and horizontal change (run) over the same interval or proportional intervals along the line.
- If you can verify that the ratios of the corresponding sides (rise/run) of these triangles are equal, this indicates that the slope of the line is constant.

If you can provide descriptions or characteristics of each option (A, B, C, D), we could further narrow down which pair accurately represents this concept.