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9-2 & 9-3 Independent Review

9-2 & 9-3 Independent Review. Complete each problem on each “PROBLEM” slide showing ALL work on your dry-erase board. Click the next slide to check your work and solution (“Solution” slide). Quietly ask another student in your group about a “Solution” slide if you have any questions.

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9-2 & 9-3 Independent Review

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  1. 9-2 & 9-3 Independent Review • Complete each problem on each “PROBLEM” slide showing ALL work on your dry-erase board. • Click the next slide to check your work and solution (“Solution” slide). • Quietly ask another student in your group about a “Solution” slide if you have any questions. • Repeat steps #1 - 3.

  2. PROBLEM1.) Write and use an equation to find the measure of ∠ SRZ & ∠ SRN.

  3. Solution #1 Equation: 5x – 27 = 3x + 31 (alternate interior angles) Value of x: x = 29 ∠ SRZ = 3x + 31 = 3(29) + 31 = 118° ∠ SRN = 180 – 118 = 62°

  4. PROBLEM2.) Write and use an equation to find the m ∠WRB and m ∠WRL.

  5. Solution #2 Equation: 6x + 4 + 2x – 16 = 180 (supplementary angles) Value of x: x = 24 ∠ WRB = 2x - 16 = 2(24) - 16 = 32° ∠ WRL = 6x + 4 = 6(24) + 4 = 148°

  6. PROBLEM3.) Write and use an equation to find m ∠FTB & m ∠BTP. P

  7. Solution #3 Equation: 5x – 18 = 4x + 7 (vertical angles) Value of x: x = 25 ∠ FTB = 5x - 18 = 5(25) - 18 = 107° ∠ WRL = 180 – 107 = 73°

  8. PROBLEM4.) Write an use an equation to find m LUN & m LUD. d u (2x – 12)° n (3x – 35)° p z

  9. Solution #4 Equation: 2x – 12 = 3x - 35 (corresponding angles) Value of x: x = 23 ∠ LUN = 2x - 12 = 2(23) - 12 = 34° ∠ LUD = 180 – 34 = 146°

  10. PROBLEM5.) Write an equation to find the # of sides in a polygon whose angle measures have a sum of 2,340°.

  11. Solution #5 s = 180(n – 2) 2340 = 180(n – 2) 2340 = 180n – 360 + 360 + 360 2700 = 180n 180 180 n = 15 sides

  12. PROBLEM6.) Write an equation to find the measure of the sum of the angles for the polygon below.

  13. Solution #6 s = 180(n – 2) s = 180(10 – 2) s = 180(8) s = 1,440°

  14. PROBLEM7.) Can a parallelogram have two angles that measure 75° and two angles that measure 110 °?

  15. Solution #7 No. The sum of the angles in a parallelogram must equal 360°. The angles in this problem add up to 370° (110 + 110 + 75 + 75 = 370).

  16. PROBLEM8.) Chris claims that a figure must be a rhombus if it has two pairs of parallel sides and all sides congruent. Is this true?Defend your argument with a written statement.

  17. Solution #8 No. The figure could also be a square because the problem does not mention anything about the measures of the angles.

  18. PROBLEM9.) Find the perimeter of a scalene triangle if the sides are 14 ft, 6 ft, and the last side is half the other two sides.

  19. Solution #9 Last side: 14 + 6 = 20 20 ÷ 2 = 10 ft Perimeter: P = 14 + 6 + 10 P = 30 ft

  20. PROBLEM10.) ΔABC ≅ ΔDEF. If m ∠A = 95° and m ∠F = 43°, what is m ∠E?

  21. Solution #10 95 + 43 = 138° 180 – 138 = 42° m ∠E = 42 °

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