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.