Question

Please help me I will give out the brain thing and extra point, please. Image below

△ABC and △CDE similar right triangles. The coordinates of all the vertices are integers.
A. The slope of AC¯¯¯¯¯ is less than the slope of CE¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for AC¯¯¯¯¯ than for CE¯¯¯¯¯ .
B. The slope of AC¯¯¯¯¯ is greater than the slope of CE¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for AC¯¯¯¯¯ than for CE¯¯¯¯¯ .
C. The slope of AC¯¯¯¯¯ is equal to the slope of CE¯¯¯¯¯ . This this because ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for AC¯¯¯¯¯ as for CE¯¯¯¯¯
D. The relationship between the slope of AC¯¯¯¯¯ and the slope of CE¯¯¯¯¯ cannot be determined, because the triangles are congruent.

Answer 1

C I believe it’s the one that makes more sense

Answer 2

C.) The slopes are equal

Explanation:

Since both of the triangles are similar right triangles they have the same slope, in order for triangles to be similar, you must be able to make them look the same. In this case triangle, CDE is a down-scaled version of triangle ABC meaning if you just multiplay all the vertices by the same (and correct) number it will make a triangle the same as ABC, therefore the triangles have equal slopes.