Geometry Help Please!

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Geometry Help Please!

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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I've been trying to help, but my ipad hates me! (; To start, know that parallel lines have the same slope, but different y intercepts I like to use the formula y=mx+b for these types of problems m is the slope b is the y interecept Anyway, since those triangles are similar, the slope of the hypotenuses on each of the triangles should be the same Ignore the shape of the triangles and pretend that the hypotenuses are two individual lines. Then you have to find their formulas
I cannot draw on an ipad with openstudy so I have written this summary The line that makes the hypotenuse of the big triangle has the points (-5,8) and (1,2) The little triangle's hypotenuse has the points (4,5) and (7,2) Then I used the slope formula for both, which is m= (y2 - y1)/(x2-x1) For both triangles I got a slope of -1 I dont know if this is required, but I also proved that the lines are parallel I rewrote the formulas for both triangles as y=-x+b For the big triangle, I plugged in a point to solve for b And got y=-x +3 I did the same for the little triangle and got y = -x + 9 This proves that the hypotenuses are parallel and have the same slope

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And you are correct
You are correct. Doing all of this proves that the triangles' hypotenuses are parallel and have the same slope. The slope was -1 for both . This is the number next to the x.

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