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Geo_Book_Answers

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

10. The quadrilateral appears to be a rhombus.<br />

11.<br />

Any point on the perpendicular bisector of the<br />

segment connecting the two offices would be<br />

equidistant from the two post offices. Therefore,<br />

any point on one side of the perpendicular bisector<br />

would be closer to the post office on that side.<br />

12. It is a parallelogram.<br />

T<br />

E<br />

R<br />

D<br />

I<br />

V<br />

Ness Station<br />

F L<br />

A<br />

O<br />

C<br />

S<br />

Umsar<br />

Station<br />

13. The triangles are not necessarily congruent,<br />

but their areas are equal. A cardboard triangle<br />

would balance on its median.<br />

34 ANSWERS TO EXERCISES<br />

14. One way to balance it is along the median. The<br />

two halves weigh the same.<br />

sample figure:<br />

C<br />

D<br />

A<br />

Area CDB = 158 in 2<br />

Area DAB = 158 in 2<br />

15. F 16. E<br />

17. B 18. A<br />

19. D 20. C<br />

21. B, C, D, E, H, I, O, X (K in some fonts, though<br />

not this one)<br />

22. Methods will vary.<br />

10 cm<br />

40 70<br />

A B<br />

C<br />

B<br />

Ruler<br />

It is not possible to draw a second triangle with the<br />

same angle and side measures that is not congruent<br />

to the first.

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