Geo_Book_Answers
Geo_Book_Answers
Geo_Book_Answers
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Use segment addition to show that each sum of<br />
lengths of opposite sides is composed of four lengths:<br />
AB DC (AP BP) (DR CR) and AD <br />
BC (AS DS) (BQ CQ). Using the Tangent<br />
Segments Conjecture, AP AS, BP BQ,<br />
CR CQ, and DR DS, and the four lengths in<br />
each sum are equivalent. Here are the algebraic<br />
steps to show that the whole sums are equivalent.<br />
AB DC (AP BP) (DR CR) Segment<br />
addition.<br />
(AS BQ) (DS CQ) Substitute AS<br />
for AP, BQ<br />
for BP, DS for<br />
DR, and CQ<br />
for CR.<br />
(AS DS) (BQ CQ) Regroup the<br />
measurements<br />
by common<br />
points of<br />
tangency.<br />
AB DC AD BC Use segment<br />
addition to<br />
rewrite the<br />
right side as<br />
the other sum<br />
of opposite<br />
sides.<br />
29.<br />
ANSWERS TO EXERCISES 133<br />
<strong>Answers</strong> to Exercises
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