SOLUTION: Suppose PQ has endpoints P(2,3) and Q(8,-9). Find the coordinates of R and S so that R lies between P and S and PR=RS=SQ.
I know that the answer is R(4,-1) S(6,-5) but I don't kno
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Question 157432This question is from textbook
: Suppose PQ has endpoints P(2,3) and Q(8,-9). Find the coordinates of R and S so that R lies between P and S and PR=RS=SQ.
I know that the answer is R(4,-1) S(6,-5) but I don't know how? Help me understand.
Thanks.
-Liz
This question is from textbook
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Find the x distance from R to S.
Find the y distance from R to S.
Divide both equally into thirds.
Find the coordinates using this x and y spacing.
.
.
.
From P to Q, the total x change is,
1/3 of the x change (x spacing) is,
From P to Q, the total y change is,
1/3 of the y change (y spacing),
.
.
.
Now start at P, find the coordinate of R using the x and y spacing,
R:(2,3)+(2,-4)=(4,-1)
Continue to the next point, S.
S:(4,-1)+(2,-4)=(6,-5)
You can verify that the next point is Q.
Q:(6,-5)+(2,-4)=(8,-9)
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.
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