Worksheet 7
Worksheet 7
Worksheet 7
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Geometry M217 Name<br />
Chapter 3: Test Review Date Hour<br />
<strong>Worksheet</strong> 7 Teacher<br />
Use the given diagram to list all pairs of angles that apply.<br />
1. Alternate Interior Angles<br />
2. Alternate Exterior Angles<br />
3. Same-side Interior Angles<br />
(Consecutive Interior)<br />
4. Same-side Exterior Angles<br />
(Consecutive Exterior)<br />
5. Corresponding Angles<br />
6. Vertical Angles<br />
7. Linear Pair<br />
8. If lines are parallel, then…<br />
1. _________________________<br />
2. _________________________<br />
3. _________________________<br />
4. _________________________<br />
5. _________________________<br />
6. _________________________<br />
7. _________________________<br />
a. Alternate Interior Angles are ____________________________.<br />
b. Alternate Exterior Angles are ___________________________.<br />
c. Corresponding Angles are _____________________________.<br />
d. Same-side (Consecutive) Interior Angles are __________________________.<br />
e. Same-side (Consecutive) Exterior Angles are __________________________.<br />
9. Given the diagram below, determine if the segments are parallel, perpendicular, skew, or neither. All<br />
segments intersect to make right angles.<br />
A<br />
D<br />
B<br />
G<br />
H<br />
F<br />
C<br />
E<br />
2<br />
1<br />
7<br />
8<br />
a. BG, AD ___________________________<br />
b. BC, AD ___________________________<br />
c. CF, FE ___________________________<br />
d. AB, FE ___________________________<br />
10. Using the diagram above list three pairs of parallel planes. Be sure to label them properly by using three<br />
points per plane.<br />
a. __________________________________<br />
b. __________________________________<br />
c. __________________________________<br />
M217 – Chapter 3 <strong>Worksheet</strong> 7 10/13/2010<br />
a<br />
3<br />
6<br />
4<br />
5<br />
b
11. In the figure ln and ris a transversal. Which of the following is not necessarily true?<br />
a. 5@ 3<br />
b. 8@ 2<br />
c. 7@ 4 d. 2@ 6<br />
12. Which lines, if any, can be proved parallel given the following diagram? For each conclusion, provide<br />
the justification.<br />
13. Which lines, if any, must be parallel if 2 is supplementary to 9 ?<br />
Explain your answer.<br />
14. Which line is the transversal that forms 3 and 5 ? ________<br />
15. Which line is the transversal that forms 2 and 9 ? ________<br />
16. Which line is the transversal that forms 5 and 9 ? ________<br />
M217 – Chapter 3 <strong>Worksheet</strong> 7 10/13/2010
17. Given1@ 3,<br />
determine which lines must be parallel. Explain your reasoning.<br />
18. Refer to the figure. Which theorem guarantees l and m are parallel?<br />
a. Alternate Exterior Angles Converse c. Corresponding Angles Converse<br />
b. Alternate Interior Angles Converse d. Same-side Interior Angles Converse<br />
19. Which lines, if any, can be proved parallel given the following diagram?<br />
M217 – Chapter 3 <strong>Worksheet</strong> 7 10/13/2010
For #20 – 21 solve for x and y. Show the equation used to solve.<br />
20.<br />
2x + 2y<br />
4y<br />
4x – y<br />
21. 20. x = __________<br />
(4x + 5) ◦<br />
For #22 – 25 find the slope between the given points. Show work.<br />
M217 – Chapter 3 <strong>Worksheet</strong> 7 10/13/2010<br />
y = __________<br />
21. x = __________<br />
y = __________<br />
22. (3, -6) (-7, 10) 23. (3, 9) (3, -6) 22. __________<br />
24. (2, 5) (8, 3) 25. (1, 8) (-6, 8)<br />
For #26 – 31 write an equation of the line in the format specified. Show work.<br />
26. Passing through the points (2, 5) and (4, 10) in point-slope form.<br />
27. Passing through the points (3, 6) and (-1, 2) in slope-intercept<br />
form.<br />
(6y – 3) ◦<br />
23. __________<br />
24. __________<br />
25. __________<br />
26. ___________________________<br />
27. ___________________________
28. Through the point (3, 8) and parallel to y= 2x-4in slopeintercept<br />
form.<br />
29. Through the point (6, -4) and perpendicular to y= 2x-4in slopeintercept<br />
form.<br />
30. Horizontal line passing through the point (3, 6).<br />
31. Vertical line passing through the point (-2, 5).<br />
28. ___________________________<br />
29. ___________________________<br />
30. ___________________________<br />
31. ___________________________<br />
For 32 - 35 determine if the two lines are parallel, perpendicular, or neither. Show work.<br />
32.<br />
34.<br />
y 4x3 y4x 5<br />
2x3y 15<br />
3x2y 8<br />
4x2y 8<br />
33.<br />
y 2x 3<br />
35.<br />
y 2<br />
x 3<br />
32. ________________<br />
33. ________________<br />
34. ________________<br />
35. ________________<br />
M217 – Chapter 3 <strong>Worksheet</strong> 7 10/13/2010
Use the properties of parallel lines to solve for the variables indicated. Show ALL work.<br />
m x x m x 37. m16a5 b, m22a m315 b, m480<br />
2<br />
36. 1 650, 2430<br />
2<br />
38. m125 , m 7110<br />
1<br />
2<br />
4<br />
3 5<br />
1<br />
6<br />
7<br />
8<br />
M217 – Chapter 3 <strong>Worksheet</strong> 7 10/13/2010<br />
1<br />
2<br />
3<br />
4<br />
36. x = ____________<br />
m 1<br />
_______<br />
37. a = ___________<br />
b = __________<br />
38. m2<br />
_______<br />
m3<br />
_______<br />
m4<br />
_______<br />
m5<br />
_______<br />
m6<br />
_______<br />
m8<br />
_______
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