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Perpendicular Lines

Perpendicular Lines. September 23, 2009. Objectives. Review yesterday’s material Practice with perpendicular lines. Classify each of the statements as true or false. 1 . If two angles are complementary and congruent, each has a measure of 45°.

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Perpendicular Lines

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  1. Perpendicular Lines September 23, 2009

  2. Objectives • Review yesterday’s material • Practice with perpendicular lines.

  3. Classify each of the statements as true or false. 1. If two angles are complementary and congruent, each has a measure of 45°. 2. If two angles are congruent and supplementary, then each is a right angles. 3. Perpendicular lines form four right angles. 4. Two vertical angles may be complementary. 5. If m angle 1 = 20, m angle 2 = 40, and m angle 3 = 50, then the three angles are complementary.

  4. Find the measure of a complement and a supplement of angle A. 6. m angle A = 20 7. m angle A = 75 8. m angle A = 89

  5. 9. Two complementary angles have measures in the ration 2:4. What is the measure of the larger angle?

  6. 10. Two congruent angles are complementary. What is the measure of each angle?

  7. 11. If line ABand line CDintersect at E, mangle AEC = 3x, and m angle BED = (5x - 6), find the value of x, andthe measure of each angle.

  8. 12. The measure of two supplementary angles are in the ration 2:7. Find the measure of thesmaller angle.

  9. 13. If angle C is the complement of angle A, and angleS is the supplement of angleA, which statement is alwaystrue? m angle C > m angle S m angle C + m angle S = 90 m angle C + m angle S = 180 m angle C< m angle S

  10. 14. Find the measure of angle EAD. 15. Find the measure of angle FAC. 16. angle DAE and angle EAF may be classified as what kind of special angles?

  11. 17. What is the sum of m angle DAE and m angle EAB? 18. Find the measure of angle BAE.

  12. 19. If m angle BAC = (2x - 5), m angle CAD = (x + 1), and m angle BAD = 50, find the value of x. 20. If AC bisects angle BAD and m angle BAD = 62, find m angle BAC.

  13. 21. If AC bisects angle BAD, m angle BAC = (y - 8), and m angle CAD = (5y - 100), find the value of y. 22. If m angle EAD = 20 and m angle DAC = 45, find m angle EAC.

  14. Review a Parallel Perpendicular Complementary Supplementary Vertical pair Transversal Corresponding b 1 4 2 3 5 8 6 7 y

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