Geometry
Lesson 2.1
Point, Line, Plane
Name:_______________
1
Review:
18. What is the next number in the sequence? 3, 9, 81,…
19. Give a counterexample to the statement: All cats are gray.
20. Is having gas in the car a necessary or sufficient condition to the car being able to
run?
21. What is the inverse of, If you are over 16 years old, then you may get your drivers
license.
22. What would be your first step in proof by contradiction to prove the following
statement: The solution to x-8=12 is not 20.
23. Solve the following equation and justify your steps.
3x-12+6x=18
24. Given the statements, “If it is a rose, then it is a flower”, which of the following is
logically equivalent?
A. If it is a flower, then it is a rose.
B. If it is a rose, then it is not a flower.
C. If it is not a rose, then it is not a flower.
D. If it is not a flower, then it is not a rose.
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Geometry
Lesson 2.2
Line Segments
Name:______________
Use the segment addition postulate to find the indicated length.
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2.
3.
Use the number line to find the indicated distances.
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5.
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8.
9.
10
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11.
The endpoints of two segments are given. Find the length of each segment. Tell if the two
segments are congruent.
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13
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14.
15
Find the coordinates of the midpoint using the given endpoints.
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Find the coordinates of the endpoint using the other endpoint, r, and the midpoint, M.
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23.
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In the diagram, M is the midpoint of the segment. Find the indicated length.
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25
26
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Review:
Use the following statements to construct the propositions.
p: you complete the geometry homework assignments
q: you do well on the geometry tests
27. p → q
28. ∼ p
29. ∼ q →∼ p
30. Construct a truth table for the following:
p
q
p→q
31. If there are 20 boys and 5 girls in a class, what is a logical argument that would
support the statement that a person in class selected at random will be a boy.
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Geometry
2.3 Angles and their Measures
Name:______________________
5
Assignment
Review:
31. In the diagram, M is the midpoint of the segment. Find MQ.
32. Find the coordinates of the midpoint of the segment with endpoints
A(6, -3) and B(10, 5).
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33. Find the length of the segment. Round to the nearest tenth.
34. What does it mean for two points to be coplanar?
35. Draw 3 collinear points. Label them A, B, and C.
36. What is the contrapositive of, If you drive to school, you need a parking sticker.
37. Solve the equation below and justify your steps.
2( x + 5) + 3 x = 180
38. Predict the next number in the sequence: 5, -3, -1, -9, -7, -15, -13, _______
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Geometry
2.4 Angle Relationships
Name:_________________________
8
Assignment
9
Review:
39.
10