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Picture this… Draw this… solve this…. Picture… DRAW… solve…. A is between B & C. Find AB & AC . AB=2x+4, AC=4x+2, BC=42 N is the midpoint of MT. Find MN. MT=4x+12 and x=6 D is the midpoint of FG. Find FG. FD=x+6 and DG=3x+2. 42. X=6, AB=16, AC=26. 2x+4. 4x+2. B. C. A. 4x+12.
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Picture… DRAW… solve… • A is between B & C. Find AB & AC. • AB=2x+4, AC=4x+2, BC=42 • N is the midpoint of MT. Find MN. • MT=4x+12 and x=6 • D is the midpoint of FG. Find FG. • FD=x+6 and DG=3x+2 42 • X=6, AB=16, AC=26 2x+4 4x+2 B C A 4x+12 • MN=18 l l M N T l l • FG=16 F G x+6 D 3x+2
Picture, draw, solve… • H lies between G and J, GH=3x, HJ=x+16 and GJ=32 • find x • find GH • find HJ 4 12 20 • Q lies between A and X, QX=y-1, AQ=2y+1 and AX=45 • find y • find AQ • find QX 15 31 14
Picture, draw, solve… • M is the midpoint of RT, MT=8x-36, RM=5x+9 • find x • find RM • find RT 15 84 168
Picture, draw, solve… Find x, RT, and RS… given that T is the midpoint of segment RS. RT = 5x - 2 RS = 15x - 24 TS = x + 7 RT = 3x – 8 TR = 13x + 2 SR = 30x 15x-24 X = 4; RT = 18; RS = 36 l l R S 5x-2 T X = 7.5; RT = 14.5; RS = 29 l l R 3x-8 x+7 S T X = 1; RT = 15; RS = 30 30x l l R 13x+2 S T
Picture, draw, solve… Angle ABC is a straight angle with rays BD, BE, and BF contained within. Angle EBC is a right angle. Ray BD lies within angle ABE. Ray BF lies within Angle EBC. E D • mABD • m DBE • m CBF • m EBF • m DBF 50o F 40o B A C Given… m DBE = 3x + 10 m DBA = 5x m EBF = 4y + 20 m FBC= 8y + 10 50o 40o 80o
Picture, draw, solve… Angles ABC and CBD are adjacent angles. The measure of angle ABC=(3x+20)o, the measure of angle CBD=(4x+40)o, and the measure of angle ABD=(10x+30)o. Find the measures of all three angles. (10x+30)o C (3x+20)o A (4x+40)o B D
Picture, draw, solve… Angle ABD is bisected by ray BC. The measure of angle ABC=(11x+5)o and the measure of angle ABD=(40x-62)o. Find the measures of all three angles. (40x-62)o C (11x+5)o A B D
So what??? Now what???