9.4 proportional parts and triangles lesson

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  1. 9.4 Proportional Parts andTriangles 2. Proportional Parts and TrianglesYou will learn to identify and use the relationships betweenproportional parts of…
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  • 1. 9.4 Proportional Parts andTriangles
  • 2. Proportional Parts and TrianglesYou will learn to identify and use the relationships betweenproportional parts of triangles.Nothing New!
  • 3. Proportional Parts and TrianglesIn ΔPQR,TSRQPAre ΔPQR and ΔPST, similar?QRST || and intersects the other two sides of ΔPQR.STPST PQR corresponding anglesP PΔPQR ~ ΔPST.Why? (What theorem / postulate?)AA Similarity (Postulate 9-1)
  • 4. Proportional Parts and TrianglesTheorem 9-4If a line is _______ to one side of a triangle, and intersects theother two sides, then the triangle formed is _______ to theoriginal triangle.similarparallelAB CD Ethen,|| DEBCIf ΔABC ~ ΔADE.
  • 5. Proportional Parts and TrianglesTWSVRComplete the proportion:?SRSWSTSince RTVW || , ΔSVW ~ ΔSRT.SRSWSTSV
  • 6. Proportional Parts and TrianglesTheorem 9-5If a line is parallel to one side of a triangle and intersects theother two sides, then it separates the sides into segments of__________________.proportional lengthsEDCBACEACBDABDEBC then,||If
  • 7. Proportional Parts and TrianglesCBHGA53x + 5x4xBCGHofvaluetheFind.||figure,theIn543xx534 xx1534 xx15x
  • 8. Proportional Parts and Triangles10 ft6 ft4 ftBraceJacob is a carpenter.Needing to reinforce this roof rafter, he mustfind the length of the brace.4=104 x10x = 16x = 1 35ft4 ftx
  • 9. Proportional Parts and Triangles
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