Big Ideas Math Geometry, 2014
BI
Big Ideas Math Geometry, 2014 View details
1. Perpendicular and Angle Bisectors
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Exercise 4 Page 306

1.3
Explanation: See solution.

Practice makes perfect
Examining the given diagram, we can see that QT=ST. According to the Converse of the Perpendicular Bisector Theorem, if a point is equidistant from the endpoints of a segment, then it lies on the perpendicular bisector of the segment. Therefore, T lies on the perpendicular bisector of QS.

We can see that the point R also lies on the perpendicular bisector. This means that it is also equidistant from the endpoints Q and S. Note that, we already know that the distance to S is 1.3. Therefore, QR=1.3.