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Geometry Quiz 6

Geometry Quiz 6. December 7, 2010. Bellringer (reteaching) 10 minutes. Solve the following equations: 15b - 10 = 50 7x + 3 = 2x + 8 -11a = 66. MISSING QUIZZES.

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Geometry Quiz 6

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  1. Geometry Quiz 6 December 7, 2010

  2. Bellringer (reteaching)10 minutes Solve the following equations: • 15b - 10 = 50 • 7x + 3 = 2x + 8 • -11a = 66

  3. MISSING QUIZZES If you are missing Quiz 5 or Quiz 6. You MUST take your quiz before Xmas break. Failure to take your quiz before Wednesday, DECEMBER 15 will result in ZERO. This is an in-class assignment for your binder. Label it QUIZ 6 Discussion 12/7 and place in class work section.

  4. PUT IN BINDER!!!! 1.The temperature in Chicago was -5 below at 6am. Five hours later, the temperature dropped an additional 15 degrees. What is the new temperature? -5 + (-15) = -20 degrees

  5. IN-CLASS WORK • 2. Draw a horizontal number line on your paper with zero in the middle. Label dot on -2 and dot on 6. Label dot on -2 point A and dot on 6 point B. What is the midpoint of segment AB?

  6. A B Midpoint = pt.1 + pt.2 2 = -2 + 6 2 = 4 = 2 2

  7. 3. What is the value of the expression -2x⁵, when x = -3? • -2 (-3)⁵ = Remember order of operations Should you multiply -2 * -3 then raise to 5th power? So 6⁵ = 7776 Should you do -3⁵ then multiply by -2? (-3) x (-3) x (-3) x (-3) x (-3) = (-243) (-2)(-243) = 486

  8. 4. What value of x satisfies the equation 2(x-3) = 4x + 10? 2(x-3) = 4x +10 Operation distribution 2*x + 2(-3) = 4x + 10 2x – 6 = 4x +10 Combine like terms -2x = -2x -6 = 2x + 10 Combine numbers -10 = -10 -16 = 2xSolve for x 2 2 ⇛ -8 = x

  9. 5. Kerry scores 15 points in the first game, 22 in the second game, 8 in the third, and 17 in the fourth game. In the 5th game, he was shut down for 0. What is his scoring average after 5 games? Find average by adding numbers then dividing by the amount of numbers. 15 + 22 + 8 + 17 + 0 = 62 = 12.4 pts/game 5

  10. 5 -2 -2 -8 B A 6. A (-2, -8) 7. B (5,-2)

  11. Find midpoint of AB Midpoint formula= (x₁ + x₂) , (y₁ + y₂) = (x, y) 2 2 • Locate points • Assign points as pt1 and pt2 • Label point1 as (x₁ , y₁) and point2 as (x₂ ,y₂) • Insert into formula

  12. Find midpoint of AB • A (-2, -8) B ( 5, -2) pt.1 ⇛(x₁ , y₁) pt.2 ⇛(x₂ , y₂) Midpoint = (x₁ + x₂) , (y₁ + y₂) = (x, y) 2 2 =(-2 + 5 ) , (-8 + -2) 2 2 =(3/2, -10/2) = (3/2, -5) or (1.5,-5)

  13. Find the Distance of AB Distance formula = √ [(x₂ - x₁)² + (y₂ - y₁) ²] • Locate points • Assign points as pt1 and pt2 • Label point1 as (x₁ , y₁) and point2 as (x₂ ,y₂) • Insert into formula

  14. Find the Distance of AB • A (-2, -8) B ( 5, -2) (x₁ , y₁) (x₂ , y₂) • Distance = √ [(x₂ - x₁)² + (y₂ - y₁) ²] = √ (5 – (-2))² + (-2 – (-8))² = √ (7)² + (6)² = √ 49 + 39 = √85

  15. 10. What is difference between midpoint and distance of a line? • Midpoint is the middle point of a line and the distance of a line is the length from one point to another on the line.

  16. Cooperative notes Students will work in pairs to complete graphic organizer/notes on angle relationships. (30 minutes).

  17. F E Student Parking 1 Science Lab D 2 3 5 H C GE K Office 8 4 6 B Gymnasium 9 10 7 J A • Lesson 1-4 • Use the map of a high school shown. • a. Name all angles that have K as a vertex. • 8, 6, HKJ, and JKC • b. Name the sides of 6. • KJ and KC or KJ and KG • c. What is another name for AJK? • 9, J, and KJA • d. Name a point in the interior of ECG. • Point F.

  18. D M B G A H F J • Example 3 Measure and Classify Angles • In the figure, ABDFHG. If mABD = 3x + 6 and • mFHG = x + 26, find the measures of ABD and FHG. • Given • Definition of congruent angles • 3x + 6 = x + 26 Substitution • 3x = x + 20 Subtract 6 from each side. • 2x = 20 Subtract x from each side. • x = 10 Divide each side by 2. • Use the value of x to find the measure of one angle. • = 3x+ 6 Given • = 3(10) + 6 x = 10 • = 30 + 6 or 36 Simplify. • The measures of ABD and FHG are 36. • You can check you solution by substituting 10 for x in the expression for FHG.

  19. Binder Check Wednesday • Bell ringers (Show 3) • Notes (Distance and Midpoint) • In Class Work (Show 3) • Homework (2 assignments) BINDER CHECK WORTH 100PTS SAME AS QUIZ GRADE

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