Determine the endpoint given one endpoint and midpoint algebraically

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Mathematics
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main task described in the problem?
Determining the slope of a line
Finding the midpoint of two given points
Finding the other endpoint when given a midpoint and one endpoint
Calculating the distance between two points
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the midpoint of a line segment represent?
The point exactly halfway between two endpoints
The average of the y-coordinates only
The endpoint with the larger coordinates
The average of the x-coordinates only
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula is used to find the midpoint of a line segment?
(X1 * X2) / 2, (Y1 * Y2) / 2
(X1 + X2) / 2, (Y1 + Y2) / 2
X1 - X2, Y1 - Y2
X1 + X2, Y1 + Y2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving for the unknown endpoint using the midpoint formula?
Subtract the coordinates of the known endpoint from the midpoint
Multiply the midpoint coordinates by 2
Divide the coordinates of the known endpoint by 2
Add the coordinates of the known endpoint to the midpoint
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you eliminate the fraction in the midpoint formula equation?
Divide both sides by 2
Subtract the same number from both sides
Add the same number to both sides
Multiply both sides by 2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the coordinates of the unknown endpoint found in the problem?
(-1, 6)
(2, 9)
(4, 3)
(0, 0)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of point D in the context of this problem?
It is the midpoint of the line segment
It is a point outside the line segment
It is the known endpoint
It is the unknown endpoint that was calculated
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