OBR Review Segment addition midpoint distance and Pythagorean
OBR Review Segment addition, midpoint, distance and Pythagorean theorem ◈ YES!! You will be quizzed at the end of class on these topics
Yes
In the following problems, suppose J is between H and K. ! Use the Segment Addition Postulate to solve for x. ! Then find the length of each segment. HJ=3(2)+8=6+8=14 HJ=14 JK=4(2)+6=8+6=14 JK+14 4 x+6+3 x+8=28 combine like terms 7 x+14=28 subtract 14 7 x=14 divide x=2 if you plug it in you get 4(2)+6+3(2)+8= 8+6+6+8=12+16=28
In the following problems, suppose J is between H and K. ! Use the Segment Addition Postulate to solve for x. ! Then find the length of each segment. 6 x-5+4 x-6=129 combine like terms 10 x-11=129 add 11 10 x=140 divide x=14 HJ=6(14)-5=79 HJ=79 JK=4(14)-6=50 JK=50
5 x-2+3=3(x+3) distribute 5 x-2+3=3 x+9 combine like terms 5 x+1=3 x+9 subtract 3 to get x on one side 2 x+1=9 subtract 1 2 x=8 divide x=4 substitute 5(4)-2=20 -2 DE=18 3(4+3)=12+9 DF=21
Find the distance between the two points by using the distance formula. d= squared root of (x^2 -x^1)+(y^2 -y^1)^2 (-7 -(-2))+(7 -3) (all numbers have ^2) combine (-5^2)+(4^2) square them 25+16 add 41 Distance=41
Find the distance between the points, by using the Pythagorean theorem. a^2+b^2=c^2 4^2+9^2=c^2 16+81=97 c^2=97
Find the distance between the points, by using the Pythagorean theorem. 5^2+4^2=c^2 25+16=c^2 41=c^2
Find the mid point between the two points. -1 -6, -6 -5)divided by 2 -7, -11 divide by 2 (3. 5, 5. 5) is the midpoint (
using distance formula: (4 -(-1))^2+(9 -(-3))^2 4+1^2=5^2 and 9+3^2= 12^2 25+144=169 The distance between Walt CIty and Koshville is 169. Halloween town is midway between Walt City and Koshville. What are the coordinates of Halloween town? -1+4, -3+9 divided by 2 3, 6 divided by 2 (1. 5, 3) is the coordinates
the change in the x coords is -8 the change in y coords is -19 now we take the same difference and apply it to the midpoint coords -9 -8=-17 -10 -19=-29 the other endpoint is (-17, -29)
the change in x coords is +3 the change in y coords is -4 now we apply that to the midpoint to find the other endpoint 5+3=8 1 -4=-3 the other endpoint is (8, -3)
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