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For three collinear points. A between T and Q.

a. Draw a sketch.
b. Write the Segment Addition Postulate.
c. If AT = 10 in and AQ = 5 in, what is TQ?

User Shadow Wizard
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1 Answer

15 votes
15 votes

Final answer:

The Segment Addition Postulate cannot be applied to find TQ given the measurements AT = 10 in and AQ = 5 in, because they conflict with the premise that point A is between T and Q. There may be a typo in the measurements, as TQ cannot be determined with the given values.

Step-by-step explanation:

Let's address this mathematics question step-by-step:

Drawing a Sketch

For three collinear points with A between T and Q, you would simply draw a straight line and place point A somewhere between points T and Q. This visualizes the idea that A lies in between the other two points on the line.

Segment Addition Postulate

The Segment Addition Postulate states that if point B is between point A and point C, then AB + BC = AC. This postulate helps in determining the lengths of segments when given the whole and a part.

Finding the Length of TQ

If AT = 10 in and AQ = 5 in, it seems there might be an error in the given measurements because A cannot be between T and Q if AQ is shorter than AT. However, if AT is supposed to be 10 inches, and TQ (the entire length) is sought, then we'd add AT + AQ to find TQ. But as the measurements stand, TQ cannot be directly computed without the correct measurement for AQ.

User Mark Payne
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2.8k points