Geometry

1 Explain how you can use a straightedge and a compass to construct an angle that is both congruent and adjacent to a given angle.

2 When constructing a perpendicular bisector, why must the compass opening be greater than the 1/2 the length of the segment?

3 When constructing an angle bisector, why must the arcs intersect?

4 __
PB is a line segment on a number line. It has endpoints at -2 and 12. What is the coordinate of its midpoint? Please show work!
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5 The midpoint of CD is E(-1,0). One endpoint is C(5,2). What are the coordinates of the other endpoints? Please show work!

6 Explain the distance formula. Then use it to calculate the distance between A(1,1) and B(7,-7). Please show work!

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