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Lesson 6-5

Lesson 6-5. Right Triangles. Ohio Content Standards:. Ohio Content Standards:. Formally define geometric figures. Ohio Content Standards:.

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Lesson 6-5

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  1. Lesson 6-5 Right Triangles

  2. Ohio Content Standards:

  3. Ohio Content Standards: Formally define geometric figures.

  4. Ohio Content Standards: Formally define and explain key aspects of geometric figures, including:a. interior and exterior angles of polygons;b. segments related to triangles (median, altitude, midsegment);c. points of concurrency related to triangles (centroid, incenter, orthocenter, and circumcenter);d. circles (radius, diameter, chord, circumference, major arc, minor arc, sector, segment, inscribed angle).

  5. Ohio Content Standards: Use right triangle trigonometric relationships to determine lengths and angle measures.

  6. Ohio Content Standards: Apply proportions and right triangle trigonometric ratios to solve problems involving missing lengths and angle measures in similar figures.

  7. Hypotenuse

  8. Hypotenuse In a right triangle, the side opposite the right angle.

  9. Legs

  10. Legs The two sides that form the right angle.

  11. Hypotenuse Legs

  12. Theorem 6-6 LL Theorem

  13. Theorem 6-6 LL Theorem If two legs of one right triangle are congruent to the corresponding legs of another right triangle, then the triangles are congruent.

  14. Theorem 6-7 HA Theorem

  15. Theorem 6-7 HA Theorem If the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and corresponding angle of another right triangle, then the triangles are congruent.

  16. Theorem 6-8 LA Theorem

  17. Theorem 6-8 LA Theorem If one leg and an acute angle of a right triangle are congruent to the corresponding leg and angle of another right triangle, then the triangles are congruent.

  18. Postulate 6-1 HL Postulate

  19. Postulate 6-1 HL Postulate If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and corresponding leg of another triangle, then the triangles are congruent.

  20. Determine whether each pair of right triangles is congruent by LL, HA, LA, or HL. If it is not possible to prove that they are congruent, write not possible.

  21. Determine whether each pair of right triangles is congruent by LL, HA, LA, or HL. If it is not possible to prove that they are congruent, write not possible. D E F G

  22. Determine whether each pair of right triangles is congruent by LL, HA, LA, or HL. If it is not possible to prove that they are congruent, write not possible.

  23. Determine whether each pair of right triangles is congruent by LL, HA, LA, or HL. If it is not possible to prove that they are congruent, write not possible.

  24. Assignment:Pgs. 254-255 7-19 all, 23-25 all

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