Question

Triangle QRS is similar to triangle TUV. Using the image below, prove that lines RS and UV have the same slope. You must show all of your work to receive credit​

Answer 1

Explanation:

Lines will have same slope if they make the same angle with respect to the vertical or horizontal

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The similarity statement ∆QRS ~ ∆TUV tells you that ∠R ≅ ∠U.

Angle R is the angle measured clockwise from vertical segment RQ to segment RS. Angle U is the angle measured clockwise from vertical segment UT to segment UV.

Segments RS and UV both make the same angle with a vertical segment, so have the same slope.