Chapter 1 Quiz Review • Name a line that contains point F. m n B A H D C K J • Give another name for line n. • Name three collinear points. G F p • Name the plane containing lines n and p. • Find the measure of the given segment. (draw a picture, show all work, and include labels) – Point H is between points G and I. GH = 12.5 in GI = 17.3 in HI = ? • Find the value of the variable and XY, if Z is between X and Y. (draw a picture then solve) XZ = 5b + 1 ZY = 4b – 5 XZ = 11 • Find the distance and midpoint for the given segment. KN G H K L M N P Q –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 R 6 7 8 • Find the distance and midpoint for the segment between A(-3, 7) and B(6, 2) • In the figure, ray GK bisects angle FGH – Find y if angle FGK = 6a +7 and angle KGH = 8a - 2 F x G y K H • In the figure rays JK and KL are opposite rays, angles 1 and 2 are congurent and ray KM bisects angle NKL J What bisects angle JKN? P 1 If angle JKM = 5x + 8 and angle 4 = x, what is the measure of angle 4? 2 3 4 N If angle JKN is a right angle and angle 1 = 4t + 5, what is t? K M L Answers • Name a line that contains point F. m n B A H D C K J G F p – FG, GF, line p • Give another name for line n. – AD, AC, CA, CD, DC, DA • Name three collinear points. – A, C & D or J, D, & B • Name the plane containing lines n and p. – Plane K Answers • Find the measure of the given segment. (draw a picture, show all work, and include labels) – Point H is between points G and I. GH = 12.5 in GI = 17.3 in HI = ? G 12.5 in H x 17.3 in 12.5 + x = 17.3 -12.5 -12.5 x = 4.8 HI = 4.8 in I Answers • Find the value of the variable and XY, if Z is between X and Y. (draw a picture then solve) XZ = 5b + 1 ZY = 4b – 5 XZ = 11 x 5b + 1 11 5b + 1 = 11 -1 -1 5b = 10 /5 /5 b=2 Z 4b - 5 Y XY = 5(2) + 1 + 4(2) – 5 = 10 + 1 XY = 14 + 8–5 Answers • Find the distance and midpoint for the given segment. KN G H K L M N P Q –8 –7 –6 –5 –4 –3 –2 –1 0 Distance: Midpoint: KN = 3 - -3 = 6 3 + -3 2 1 =0 2 3 4 5 R 6 7 8 Answers • Find the distance and midpoint for the segment between A(-3, 7) and B(6, 2) ( 2 7 ) (6 3) 2 5 9 2 25 81 106 2 2 36 7 2 , 2 2 3 9 , 2 2 Answers • In the figure, ray GK bisects angle FGH – Find y if angle FGK = 6a +7 and angle KGH = 8a - 2 F x 6a + 7 -6a 7 = 2a – 2 +2 +2 9 = 2a /2 /2 a = 4.5 y K 6a + 7 = 8a – 2 -6a G y = 8(4.5) – 2 = 36 – 2 = 34o 8a - 2 H Answers • In the figure rays JK and KL are opposite rays, angles 1 and 2 are congurent and ray KM bisects angle NKL What bisects angle JKN? KP If angle JKM = 5x + 8 and angle 4 = x, 5x + 8 + x = 180 P 6x + 8 = 180 what is the measure of angle 4? - 8 -8 6x = 172 /6 /6 x = 28.666…. If angle JKN is a right angle and angle 1 = 4t + 5, what is t? 2(4t + 5) = 90 8t + 10 = 90 8t = 80 t=8 J 1 K 2 3 4 N M L