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Geo_Book_Answers

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<strong>Answers</strong> to Exercises<br />

9.<br />

Sample description: Draw a segment and draw an<br />

angle at one end of the segment. Mark off a<br />

distance equal to that segment on the other side of<br />

the angle. Draw an angle at that point and mark off<br />

the same distance. Connect that point to the other<br />

end of the original segment.<br />

10.<br />

Sample description: Draw an angle and mark off<br />

equal lengths on the two sides. Use that length to<br />

determine another point that distance from the<br />

points on the sides. Connect that point with the<br />

two points on the side of the angle.<br />

11. <strong>Answers</strong> will vary. The angle bisector lies<br />

between the median and the altitude. The order of<br />

the points is either M, R, S or S, R, M. One possible<br />

conjecture: In a scalene obtuse triangle the angle<br />

bisector is always between the median and the<br />

altitude.<br />

mABC = 111<br />

B<br />

R Median<br />

A S M<br />

Altitude Angle<br />

bisector<br />

42 ANSWERS TO EXERCISES<br />

C<br />

12. new coordinates: E(4, 6), A(7, 0), T(1, 2)<br />

13.<br />

–5<br />

14. half a cylinder<br />

15. 503<br />

16.<br />

R<br />

–5<br />

–5<br />

y<br />

T'<br />

T<br />

E<br />

E'<br />

110<br />

E<br />

3.2 cm<br />

110 110<br />

A 5.5 cm C<br />

A'<br />

A<br />

Reflectional Rotational<br />

Figure symmetries symmetries<br />

Trapezoid 0 0<br />

Kite 1 0<br />

Parallelogram 0 2<br />

Rhombus 2 2<br />

Rectangle 2 2<br />

x

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