Question

Which pair of triangles can be used to show that the slope of line a is the same anywhere along the line?





A.
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B.
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C.
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D.
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Answer 1

I can’t see the pictures you’re referring to. Could you upload the image or describe the four choices?

Meanwhile, here’s how to pick the correct pair: the slope is constant because any two right triangles whose hypotenuses lie along line a are similar — they share the same acute angle made with a horizontal (or equivalently they have corresponding angles equal by alternate interior angles). So the correct choice will be the pair of triangles that both have their hypotenuses on line a (or otherwise share the same angle with a horizontal line). Pick the option that shows two such right triangles.