Draw the angle. Label its vertex O
Place the compass at O and draw a circle that intersects the two rays of the angle. Label the points of intersection A and B. (Extend OA and OB if necessary)
Now, you want angle BOC which shares a side OB with angle AOB, and is congruent to it. It will thus subtend an arc equal to AB. So,
Place the compass at B and draw a circle with radius AB.
It will intersect circle O at A and at another point, labeled C.
angle BOC is adjacent to and congruent with angle AOB.
If you google these exercises, you will find many online diagrams with instructions.
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?
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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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