Question

How are slope triangles corresponding sides, ratios, and rise-run related?

A. Corresponding sides vary with slope.
B. Ratios express the relationship between rise and run.
C. Rise and run determine the slope.
D. Corresponding sides influence the triangle's shape.

Answer 1

Slope triangles, corresponding sides, ratios, and rise-run are related in mathematics. Corresponding sides vary with slope, ratios express the relationship between rise and run, and rise and run determine the slope.

Step-by-step explanation:

In mathematics, slope triangles, corresponding sides, ratios, and rise-run are related as follows:

1. Corresponding sides of slope triangles vary with slope. The two sides of a slope triangle are the rise and the run, which represent the vertical and horizontal distances between two points on a line.
2. Ratios express the relationship between rise and run. The slope of a line is defined as the ratio of the rise to the run, which can be calculated by dividing the change in the y-coordinate (rise) by the change in the x-coordinate (run).
3. Rise and run determine the slope. The slope of a line is calculated by dividing the vertical change (rise) by the horizontal change (run) between two points.