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8.4 Similar Triangles

Geometry Mrs. Blanco. 8.4 Similar Triangles. Objectives. Identify similar triangles Use similar triangles in real-life problems. Ex. 1: Writing Proportionality Statements. In the diagram, ∆BTW ~ ∆ ETC a) Write the statement of proportionality . b) Find m TEC . mTEC = 79 °

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8.4 Similar Triangles

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  1. Geometry Mrs. Blanco 8.4 Similar Triangles

  2. Objectives • Identify similar triangles • Use similar triangles in real-life problems

  3. Ex. 1: Writing Proportionality Statements In the diagram, ∆BTW ~ ∆ETC a) Write the statement of proportionality. b) Find mTEC. mTEC = 79° c) Find ET and BE NEXT SLIDE 34° 79°

  4. Ex. 1: Writing Proportionality Statements • In the diagram, ∆BTW ~ ∆ETC. • Find ET and BE. 34° CE ET Write proportion. = WB BT 3 ET Substitute values. = 12 20 3(20) = 12ET Cross Multiply 79° 5 = ET Divide So, ET is 5 units and BE is 15 units.

  5. There are three different ways to prove that two triangles are similar. Use the graphic organizer to take notes.

  6. Postulate 25 Angle-Angle Similarity Postulate • If two angles of one triangle are congruent to the two angles of another triangle, then the two triangles are similar. • If K  Y and J  X, then ∆JKL ~ ∆XYZ.

  7. Ex. 2: Are the two triangles similar? If so, find x and y x=24 and y=16 Yes, ΔPQR~ΔLMN

  8. Ex. 3: Are the two triangles similar? If so, write the similarity statement.

  9. Ex. 4: Are the two triangles similar? If so, write the similarity statement.

  10. Ex. 5: Using Similar Triangles BX= 0.75 miles CX= 2.25 miles

  11. Practice—page 484 #18-26 evenpage 485 #34-44 evenTake 15 minutes

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