Theorems about Triangles HSG.SRT.B.4 Grade 10 ACTASPIRE Practice Test Questions TOC | Lumos Learning

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\(\Delta ABC\) has \(\overline{MN}\) drawn parallel to side BC in such a way that \(\overline{MN}\) cuts \(\overline{AB}\) into AM = 3 and MB = 5. \(\overline{AC}\) is cut into AN = x and NC = 10. Explain the steps of a proof to prove that \(\Delta ABC\sim \Delta AMN\) then find the value of x.

Resource: Question

Question Type: Extended Constructed Response

Standard(s):HSG.SRT.B.4

Standard Description: Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.

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