QuestionThe midpoint of has coordinates . Point has coordinates . Find the coordinates of point .
Write the coordinates as decimals or integers.
Studdy Solution
STEP 1
1. The midpoint formula is used to find the coordinates of the midpoint of a segment .
2. The midpoint formula states that if is the midpoint of , then where and .
3. We know the coordinates of and and need to find the coordinates of .
STEP 2
1. Set up the midpoint formula with the known values.
2. Solve the equations for the coordinates of .
STEP 3
Set up the midpoint formula for the -coordinate:
STEP 4
Multiply both sides of the equation by 2 to isolate :
STEP 5
Add 9.7 to both sides of the equation to solve for :
STEP 6
Simplify the right-hand side to find :
STEP 7
Set up the midpoint formula for the -coordinate:
STEP 8
Multiply both sides of the equation by 2 to isolate :
STEP 9
Add 4.4 to both sides of the equation to solve for :
STEP 10
Simplify the right-hand side to find :
STEP 11
The coordinates of point are therefore:
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