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I-Geometry Quiz 2 Review Prize Show

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A pat on the back Nothing Applause Cookies Cookies! Candy High Five Three Cheers! Good Luck! Applause A big smile Donut holes!! 3. 2. 4. 7. 10. 5. 8. 11. 6. 9. 12. 1.

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1. OV bisects EOL VOE = 5x + 4 VOL = 7x – 14 Draw and label a diagram. 5x + 4 L O V E 7x – 14

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R Y L I E M Y is the midpoint of RL YI bisects LYE 2. m EYL = (6x – 5y) Write and solve a system of equations to find the values of x and y. (2x + y – 10) (x + 4y – 15) x + 4y – 15 = 2x + y – 10 -x + 3y = 5 x + 4y – 15 + 2x + y – 10 = 6x – 5y -3x + 10y = 25 2(x + 4y – 15) = 6x – 5y 2x + 8y – 30 = 6x – 5y -4x + 13y = 30 2(2x + y – 10) = 6x – 5y 4x + 2y – 20 = 6x – 5y -2x + 7y = 20 x = 25 y = 10

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3. Six times an angle’s supplement is 5 less than the angle. Find the measure of the angle’s supplement. 6(180 – x) = x – 5 1080 – 6x = x – 5 1085 = 7x 155 = x Supplement = 180 – 155 = 25

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4. Write an equation and solve for x. 5x + 4 L O V 7x – 14 5x + 4 = 7x – 14 18 = 2x 9 = x

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U 5. O S T H W 1 2 3 a) 2 3 a) Vertical Angle Thm How do you know that: b) TO + OW = TW b) Segment Addition Postulate c) 1 + 2 = HOW c) Angle Addition Postulate d) SO + OU = SU d) Segment Addition Postulate

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R Y L I E M Y is the midpoint of RL YI bisects LYE 6. RY = 6x + 4 YL = 10x – 4 Find the value of x. 6x + 4 = 10x – 4 8 = 4x 2 = x

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7. The sum of an angle’s supplement and its complement is equal to 8 times the angle. Find the measure of the angle. 180 – x + 90 – x = 8x 270 – 2x = 8x 270 = 10x 27 = x

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8. JM intersects GW at point J GJM = 2x + 5 MJW = x + 25 Draw and label a diagram. M 2x + 5 W J G x + 25

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How do you know that: 9. a) RY + YL = RL a) Segment Addition Postulate b) RY YL b) Definition of Midpoint c) RYM IYL c) Vertical angle thm d) RYI + IYL = RYL d) Angle Addition Postulate e) RYI + IYL = 180 e) Definition of Linear Pair f) EYI IYL f) Definition of bisect R Y L I E M Y is the midpoint of RL YI bisects LYE

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10. An angle is twice it’s complement. Find the measure of the angle’s supplement. x = 2(90 – x) x = 180 – 2x 3x = 180 x = 60 Supplement = 180 – 60 = 120

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11. Solve the system using either substitution or elimination. 3x + 2y = 11 -6x + y = -32 x = 5 y = -2

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12. Write an equation and solve for x. 2x + 5 W J G x + 25 x + 25 + 2x + 5 = 180 3x + 30 = 180 3x = 150 x = 50

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