Name:
Date:
Geometry Ch.3 Step-by-Step
For #1-4, complete the statement by using the picture below.
1.
2.
3.
4.
Use the picture below for #5-
5.
6.
7.
8.
Period:
Use this diagram to answer if the angles are supplementary or congruent.
9.
Show all steps and then explain each step you used in solving the problem.
10.
Steps
Explanation
11. Find the value of x.
12. Find the value of x.
Show all steps and then explain each step you used in solving the problem.
13. Find the value of x.
Steps
Explanation
14. Find the value of x.
15. State the postulate or theorem you would use to prove that the two lines are parallel
Steps
Explanation
16.
17.
Show all steps and then explain each step you used in solving the problem.
18. Find the slope of the line through the given points. A (5, 8 ) B( 7, 11)
Steps
Explanation
19. Find the slope of the line through the given points. C(0, 7), D (4,8)
20. Find the slope of the line through the given points. E (-1, -2 ), F( -6, -4)
Steps
Explanation
21. Find the slope of the line through the given points. C(-3, 5), D (4,6)
22. Using the slope, state whether the lines are parallel, perpendicular, or neither.
y=x+5
y = -x
Steps
Explanation
23. Using the slope, state whether the lines are parallel, perpendicular or neither.
24. Using the slope, state whether the lines are parallel, perpendicular or neither.
25. Using the slope, state whether the lines are parallel, perpendicular, or neither.
Steps
Explanation
26. Using the slope, state whether the lines are parallel, perpendicular, or neither.
27.
28.
Steps
Explanation
29.
30.
31. Complete the proof of the Alternate Exterior Angles Converse.
Answers:
1. Angle 3
2. Angle 7
3. Angle 2
4. Angle 4
5.
6. None
7.
8. FED
9. Supplementary
10. Congruent
11. 20
12. 18
13. 23
14. 18
15.
16. Corresponding Angles Converse
17.
18. 3/2
19. ¼
20. 2/5
21. 1/7
22. Perpendicular
23. Neither
24. Parallel
25. Perpendicular
26. Neither
27.
28.
29.
30.
31.