# geometry chapter 2

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1. perpendicular lines
lines,rays, or segments that intersect at right angles
2. can you assume perpendicularity from a diagram
no
3. given: <1 suppl <2
<1 suppl<3
conclusion: <2 congruent<3
What theorem?
If angles are supplementary to the same angle they are congruent
4. Given: <1 suppl<2
<3 suppl <4
<2 congruent<4
Conclusion: <1congruent<3
If 2 <'s are supplementary to congruent <'s they are congruent
5. Given: <1 complimentary<2
<1 complementary <3
Conclusion: <2 congruent <3
If 2 <'s are complementary to the same < they are congruent
6. Given: <1 complementary<2
<3 complementary <4
<2 congruent<4
Conclusion: <1 congruent<3
If <'s are compl. to congruent <'s they are congruent
7. Given PQcongruentRS
Conclusion:PRcongruentQS
If a segment is added to two conguent segments the sums are congruent- same for angles
8. Given: KR congruent QS; RM congruent SP
COnclusion KM congruent QP
If congruent segments are added to congruent segments the results are congruent- same for angles
9. Given AC congruent BD
Conclusion: AB congruent CD
If a segment is subtracted from congruent segments the differences are congruent- same for angles
10. Given:KO congruent KP
NO congruent RP
Conclusion KN conclusion KR
If congruent segments are subtracted from congruent segments the differences are congruent- same for angles
11. Given: AB congruent EF
Band C are trisectors of AD
F and G are trisectors of EH
Conclusion: AD congruent EH
if segments( or angles ) are congruent their like multiples are congruent
12. Given: DG congruentCT
O is midpoint of DG
A is midpoint of CT
Conclusion DO congruent CA
If segments (or angles) are congruent their like divisions are congruent
13. If AB congruent CD and CD congruent EF then AB congruent EF
if <'s(or segments) are congruent to the same < (segment) they are congruent to each other
14. If QR congruent ST, QR congruent XY, and ST congruent AB then XY congruent AB
If segments(or angles) are congruent to congruent <'s(or segments) they are congruent to each other
15. Opposite rays
• 1) share a common endpoint
• 2) are collinear
• 3) extend in different(opposite) directions
16. vertical angles
2 <'s are vertical <'s when the rays forming the sides of one vertical < are opposite rays to those forming the sides of the other vertical <# this means when 2 lines intersect 2 pairs of vertical <'s are formed
17. <1 and <3 are vertical <'s
<2 and <4 are vertical <'s
verrtical <'s are congruent

### Card Set Information

 Author: verde17 ID: 111833 Filename: geometry chapter 2 Updated: 2011-10-24 21:58:55 Tags: theorems Folders: Description: 2.1-2.8 Show Answers:

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