VALUES INTEC Suppose you are given equations as A shown below. a. Determine how to find the points of intersection. of two overlapping circles doso 1wanA 9wans ada ll w1ed unstaib edd ai tadW 1-0 adinu E wana • B b. If the two circles are tangent to each other as shown on the right, determine how to find the point of tangency. B inioq dat

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
Suppose you are given equations of two overlapping circles as
shown below.
a. Determine how to find the points of intersection.
tome
• B
ewans edJ1 Tawana
staib edd ai tad
WI-0
adina E
001
b. If the two circles are tangent to each other as shown on
the right, determine how to find the point of tangency.
• B
welbniooai inioq
YALUES INTECD
Transcribed Image Text:Suppose you are given equations of two overlapping circles as shown below. a. Determine how to find the points of intersection. tome • B ewans edJ1 Tawana staib edd ai tad WI-0 adina E 001 b. If the two circles are tangent to each other as shown on the right, determine how to find the point of tangency. • B welbniooai inioq YALUES INTECD
A(0, a)
K(-a, 0)
Τα, 0 )
2. Reflect on and relate coordinate and direct proofs of some
geometric theorems. Try to construct coordinate proofs
corresponding to direct proofs of other theorems and/or
corollaries involving properties of geometric figures like
polygons and circles.
3. Given an equation of a circle, determine how to find a point
on the circle. Determine how to find the equation of a tangent
line passing through that point on the circle.
216
Transcribed Image Text:A(0, a) K(-a, 0) Τα, 0 ) 2. Reflect on and relate coordinate and direct proofs of some geometric theorems. Try to construct coordinate proofs corresponding to direct proofs of other theorems and/or corollaries involving properties of geometric figures like polygons and circles. 3. Given an equation of a circle, determine how to find a point on the circle. Determine how to find the equation of a tangent line passing through that point on the circle. 216
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