Geometry
Name ____________________________________
Unit 1 Celebration of Knowledge
Find the next two terms or drawings in each sequence.
1. 1, 3, 9, 27,
2.
3. 7, 11, 16, 22,
4.
Critical Thinking
5. True or False: A counterexample can be found for all conjectures. Explain your answer
6. Find a counterexample for the following statement:
All lines intersect in exactly one point.
Use the figure to answer Exercises 7–10.
7. Name four coplanar points.
8. Name three collinear points.
9. Give another name for plane Q.
10. Find each intersection if it exists. If there is no intersection, write “no intersection”.
a.
and plane Q
b. plane P and plane Q
c. plane P and point F
d.
and plane P
e.
f. ME and AO
and
Use the figure to answer Exercises 11-13.
11. Name a segment shown that is skew to EF.
12. Name a segment shown that is parallel to DC.
13. Name a segment shown that is parallel to plane EFGH.
Name an angle or angles in the diagram described by each of the following.
14. supplementary to
15. complementary to
E
16. congruent to
17. a pair of vertical angles
For Exercises 18-20, tell whether the statement is True or False. If false, explain.
18. Supplementary angles must be adjacent angles.
19. If the measure of two angles adds to 180°, those angles are called complementary angles.
20. If two lines are skew, then it can be said they are noncoplanar.
21. Algebra
Use the figure to find a-c.
a. x = ______
b. MR = ______
c. RP = ______
Use the figure to find each measure in Exercises 22–27.
22.
= ______
23.
= ______
24.
= ______
25.
= ______
26.
= ______
27.
= ______
28. Use the points A(-3,4) and B(-5,-6) to find the following.
a. The distance between the points
b. The midpoint of the two points
For Exercises 29-32, complete the following statements by filling in the blank.
29. If two planes intersect, then they intersect in exactly one _______________.
30. Through any three noncollinear points there is exactly one ________________.
31. A(n) ______________ is the part of a line consisting of one end point and all the points of the line
on one side of the endpoint.
32. A(n) ______________ angle is an angle with measure between 0° and 90°.