Geometry Chapter 2 Name
Geometry Chapter 2 Name
Geometry Chapter 2 Name
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<strong>Geometry</strong> <strong>Chapter</strong> 2<br />
<strong>Name</strong> ____________________<br />
Practice Test<br />
Per ___ Date ______________<br />
In problems 1-6, use the statement:<br />
If you live in Palmer, then you live in Alaska.<br />
1. Identify the hypothesis: ________________________________<br />
2. Identify the conclusion: ________________________________<br />
3. Draw a venn diagram:<br />
4. Write the converse: ___________________________________<br />
5. Given: Jenn lives in Palmer<br />
Conclusion: Jenn lives in Alaska.<br />
True or false: _________ explain: _________________________________<br />
6. Given: Armand lives in Alaska.<br />
Conclusion: Armand lives in Palmer.<br />
True or false: _________ explain: _________________________________<br />
7. Given: If two angles are supplementary, then they add up to 180 degrees.<br />
If two angles are a linear pair, then they are supplementary.<br />
Conclusion: ____________________________________________________<br />
8. Given: If Alex is in Ms. Miller’s <strong>Geometry</strong> class, then Alex is a CHS student.<br />
If Alex is a CHS student, then Alex lives in the state of Alaska.<br />
Conclusion: If Alex is in Ms. Miller’s <strong>Geometry</strong> class, then Alex lives in Alaska.<br />
True or False ____________ Explain: ________________________________<br />
9. Given: On June 20 th , 2007 Reven was born.<br />
Today is June 20 th , 2007<br />
Conclusion: Today Reven was born<br />
True or False ____________ Explain: _______________________________<br />
10. Given: Eating hundreds of flies can cause a stomach ache.<br />
George has a stomache ache.<br />
Conclusion: George ate hundreds of flies.<br />
True or False ____________ Explain: _______________________________<br />
11. Explain how you use counterexamples: _________________________________<br />
___________________________________________________________________
12. Given: M is the midpoint of AB .<br />
Conclusion: ________________<br />
A<br />
Reason: __________________________________________<br />
13. a. 3x + 2 =8 a. given<br />
b. -2 -2 b. _______________<br />
c. 3x = 6 c. _______________<br />
d. 3 3 d. _______________<br />
e. x = 2 e. _______________<br />
M<br />
B<br />
( )<br />
14. a. 5 x + 2 = 15<br />
a. given<br />
b. 5x + 10=<br />
15<br />
b. _________________<br />
c. -10 -10 c. ___________________<br />
d. 5x = 5<br />
d. __________________<br />
e. 5 5 e. ___________________<br />
f. x = 1<br />
f. __________________<br />
D<br />
C<br />
A<br />
B<br />
15. a.<br />
<br />
AC ⊥ BD<br />
a. given<br />
b. ABD<br />
and CBD<br />
are right angles b. _________________<br />
c. ABD<br />
≅ CBD<br />
c. _________________<br />
16. Given: Diagram as shown<br />
Prove: 1≅<br />
3<br />
a. Diagram a. Given<br />
b. 1 and 3<br />
are b. Assume from diagram<br />
vertical angles<br />
c. _______________ c. _________________________<br />
17. a. AB≅ EF a. given<br />
b. AB = EF b. _________________________<br />
18. a. m ABC = mROC<br />
a. given<br />
b. ABC ≅ ROC<br />
b. ________________________
19. Given: 1 and 3 are complementary<br />
2 and 3 are complementary<br />
Prove: 1≅<br />
2<br />
20. Given: mRSW = mTSU<br />
Prove: mRST<br />
= mWSU<br />
21. Given:<br />
5<br />
2x<br />
+ 6= 3+<br />
x 3<br />
Prove: x =−9
State the property that is used for each statement:<br />
22. AB≅ BA ___________________________<br />
23. If 1≅<br />
2 then 2≅<br />
1. _____________________<br />
24. If r = s and s = t, then r = t. ___________________<br />
25. If x = 5, then 5 can replace x in any equation or expression. ________________<br />
26. If B is between A and C, then AB + BC = AC. _____________________<br />
27. m 6 = ________<br />
m 7 = _________<br />
28. m 11 = ________<br />
m 12 = _________
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