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Lesson 6-3

Lesson 6-3. Similar Triangles. Ohio Content Standards:. Ohio Content Standards:. Describe and apply the properties of similar and congruent figures; and justify conjectures involving similarity and congruence. Ohio Content Standards:.

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Lesson 6-3

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  1. Lesson 6-3 Similar Triangles

  2. Ohio Content Standards:

  3. Ohio Content Standards: Describe and apply the properties of similar and congruent figures; and justify conjectures involving similarity and congruence.

  4. Ohio Content Standards: Make and test conjectures about characteristics and properties (e.g., sides, angles, symmetry) of two-dimensional figures and three-dimensional objects.

  5. Ohio Content Standards: Use proportions in several forms to solve problems involving similar figures (part-to-part, part-to-whole, corresponding sides between figures).

  6. Ohio Content Standards: Use proportional reasoning and apply indirect measurement techniques, including right triangle trigonometry and properties of similar triangles, to solve problems involving measurements and rates.

  7. Ohio Content Standards: Apply proportional reasoning to solve problems involving indirect measurements or rates.

  8. Postulate 6.1Angle-Angle (AA) Similarity

  9. Postulate 6.1Angle-Angle (AA) Similarity If the two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

  10. Theorem 6.1Side-Side-Side (SSS) Similarity

  11. Theorem 6.1Side-Side-Side (SSS) Similarity If the measures of the corresponding sides of two triangles are proportional, then the triangles are similar.

  12. Theorem 6.2Side-Angle-Side (SAS) Similarity

  13. Theorem 6.2Side-Angle-Side (SAS) Similarity If the measures of two sides of a triangle are proportional to the measures of two corresponding sides of another triangle and the included angles are congruent, then the triangles are similar.

  14. C B D E A

  15. 4 R x + 3 S Q 2x + 10 U 10 T

  16. Josh wanted to measure the height of the Sears Tower in Chicago. He used a 12-foot light pole and measured its shadow at 1 p.m. The length of the shadow was 2 feet. Then he measured the length of the Sears Tower’s shadow and it was 242 feet at that time. What is the height of the Sears Tower?

  17. Assignment:Pgs. 302-306 10-20 evens, 51-61 odds

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