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Warm Up Solve each proportion. 1. 2. 3. 4.

Warm Up Solve each proportion. 1. 2. 3. 4. AB = 16. QR = 10.5. x = 21. y = 8. 7-4. Applying Properties of Similar Triangles. Holt Geometry. It is given that ST ll UV, so by the Triangle Proportionality Theorem. Example 1: Finding the Length of a Segment. Find US.

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Warm Up Solve each proportion. 1. 2. 3. 4.

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  1. Warm Up Solve each proportion. 1.2. 3.4. AB = 16 QR = 10.5 x = 21 y = 8

  2. 7-4 Applying Properties of Similar Triangles Holt Geometry

  3. It is given that ST ll UV, so by the Triangle Proportionality Theorem. Example 1: Finding the Length of a Segment Find US. Substitute 14 for RU, 4 for VT, and 10 for RV. Cross Products Prop. US(10) = 56 Divide both sides by 10.

  4. Check It Out! Example 1 Find PN. Use the Triangle Proportionality Theorem. Substitute in the given values. Cross Products Prop. 2PN = 15 PN = 7.5 Divide both sides by 2.

  5. Verify that . Since , by the Converse of the Triangle Proportionality Theorem. Example 2: Verifying Segments are Parallel

  6. by the ∆ Bisector Theorem. Example 4: Using the Triangle Angle Bisector Theorem Find PS and SR. Substitute the given values. 40(x – 2) = 32(x + 5) Cross Products Property 40x – 80 = 32x + 160 Distributive Property x = 30

  7. Lesson Quiz: Part I Find the length of each segment. 1.2. SR = 25, ST = 15

  8. 3.Verify that BE and CD are parallel. Since , by the Converse of the ∆Proportionality Thm. Lesson Quiz: Part II

  9. Verify that BE and CD are parallel. Since , by the Converse of the ∆Proportionality Thm. Warm-Up

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