Final answer:
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:
- 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.
- 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).
- 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.