Geo_Book_Answers
Geo_Book_Answers
Geo_Book_Answers
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<strong>Answers</strong> to Exercises<br />
14. The measure of A is 90°. The angle inscribed<br />
in a semicircle appears to be a right angle.<br />
15. The two diagonals appear to be perpendicular<br />
bisectors of each other.<br />
T<br />
M<br />
16.<br />
17.<br />
A<br />
9<br />
y<br />
Construct the incenter by bisecting the two angles<br />
shown. Any other point on the angle bisector of the<br />
third angle must be equidistant from the two<br />
unfinished sides. From the incenter, make congruent<br />
arcs that intersect the unfinished sides. The<br />
intersection points are equidistant from the incenter.<br />
Use two congruent arcs to find another point that<br />
is equidistant from the two points you just<br />
constructed. The line that connects this point and<br />
the incenter is the angle bisector of the third angle.<br />
18. <strong>Answers</strong> should describe the process of<br />
discovering that the midpoints of the altitudes are<br />
collinear for an isosceles right triangle.<br />
19. a triangle<br />
20.<br />
M<br />
6.0 cm 6.0 cm<br />
60 6.0 cm 60<br />
R<br />
O<br />
60 60<br />
6.0 cm<br />
A<br />
x + y = 9<br />
H<br />
9<br />
T<br />
6.0 cm<br />
44 ANSWERS TO EXERCISES<br />
x<br />
21.<br />
K<br />
4.8 cm<br />
Y<br />
40 40<br />
E<br />
6.4 cm<br />
22. construction of an angle bisector<br />
23. construction of a perpendicular line through a<br />
point on a line<br />
24. construction of a line parallel to a given line<br />
through a point not on the line<br />
25. construction of an equilateral triangle<br />
26. construction of a perpendicular bisector<br />
T
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