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10040813
10040813
19.11.2021 • 
Mathematics

△DEF and △FGH similar right triangles. The coordinates of all the vertices are integers. The slope of DF⎯⎯⎯⎯⎯ is equal to the slope of FH⎯⎯⎯⎯⎯⎯ . 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 DF⎯⎯⎯⎯⎯ as for FH⎯⎯⎯⎯⎯⎯

The relationship between the slope of DF⎯⎯⎯⎯⎯ and the slope of FH⎯⎯⎯⎯⎯⎯ cannot be determined, because the triangles are congruent.

The slope of DF⎯⎯⎯⎯⎯ is less than the slope of FH⎯⎯⎯⎯⎯⎯ . 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 DF⎯⎯⎯⎯⎯ than for FH⎯⎯⎯⎯⎯⎯ .

The slope of DF⎯⎯⎯⎯⎯ is greater than the slope of FH⎯⎯⎯⎯⎯⎯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is

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