Mathematics, 05.01.2022 01:10 Tcutety
 The medians of ΔMNO are concurrent. Proof:StatementsReasons1. ∆MNOGiven2. Use rigid transformations to transform ΔMNO to the congruent ΔM'N'O' so that M' is at the origin and M'O' lies on the x-axis in the positive direction. Rigid transformations result in congruent shapes.3. Any property that is true for ΔM'N'O' will also be true for ΔMNO. Definition of congruence4. Let r, s, and t be real numbers such that the vertices of ΔM'N'O' are M'(0,0), N'(2r,2s), and O'(2t,0).Defining constants5. Let P', Q', and R' be the midpoints of M'N', N'O', and M'O', respectively. Defining points6. P' = (r, s); Q' = (r + t, s); R' = (t,0)?7. Definition of slope8. Applying point-slope formula9. and intersect at point S. Algebra10. Point S lies on .The coordinates of S satisfy the equation of .11. All three lines share point S. Follows from 9 and 1012. The medians are concurrent. Definition of concurrent linesWhich reason completes the proof for step 6?A. Definition of medianB. Definition of slopeC. Definition of midpointD. Definition of midsegment
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 The medians of ΔMNO are concurrent. Proof:StatementsReasons1. ∆MNOGiven2. Use rigid transformation...
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