Question

which sentence explains why the slope of ab is equal to the slope of bc? △adb is similar to △bac because the corresponding angles are congruent. therefore, ab = bc, so the slope of ab is equal to the slope of bc. since ad = be and db = ec, the proportion ad/db is the same as be/ec, so the ratio of the rise to the run is the same in each triangle. △adb is similar to △bec because the corresponding angles are congruent. therefore, ad/db = be/ec, so the ratio of the rise to the run is the same in each triangle. △adb is congruent to △bec because the corresponding

Explanation:

Slope is rise - over - run. Similar triangles with congruent angles have equal ratios of rise to run.

Answer:

$\triangle ADB$ is similar to $\triangle BEC$ because the corresponding angles are congruent. Therefore, $\frac{AD}{DB}=\frac{BE}{EC}$, so the ratio of the rise to the run is the same in each triangle.