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Transcript
Chapter 8 Study Guide
Give the definitions for the following vocabulary for problems #1-9.
1. adjacent angles:
2. parallel lines:
3. perpendicular lines:
4. plane:
5. point:
6. skew lines:
7. equilateral triangle:
8. isosceles triangle:
9. scalene triangle:
10. Two lines always intersect at a what?
11. Two planes always intersect at a what?
12. What are the 4 ways the angle to the right can be named?
13. Draw a line:
14. Draw a line segment:
15. Draw a ray:
16. A plane is named by how many points? _______ What can those points not do?
Use the figure to the right for questions #17 – 20
17. What kind of angle is ABC?
18. What kind of angle is ABF?
19. What kind of angle is CBF?
20. ABC together with CBD form what kind of angle?
21. Complementary angles add to what?
22. Supplementary angles add to what?
23. Straight angles have how many degrees?
24. If A and B are complementary and A = 30°, what is the measure of B?
25. If C and D are supplementary and C = 105°, what is the measure of D?
26. Two angles of a triangle measure 90° and 35°. What is the measure of the third angle of the triangle?
27. A quadrilateral has angles that measure 70°, 60°, 120°, and x°. What is the value of x?
28. A polygon has 8 sides. What is the sum of its interior angles?
Use the figure to the right for problems #29 – 33
29. 3 and 6 are what type of angles?
30. 2 and 7 are what type of angles?
31. 5 and 8 are what type of angles?
32. 1 and 5 are what type of angles?
33. If 1 = 105°, complete the chart to find the measures of the remaining 7 angles.
34. Is it possible to form a triangle with given side lengths of 3, 5, 8?
35. Is it possible to form a triangle with given side lengths of 6, 8, 10?
36. Determine whether the following triangles are similar.
37. ⧍ABC ~ ⧍DEF. Find the unknown measure.
38. Is ⧍ABC ≅⧍DEF?
39. If ⧍ABC ≅⧍DEF and A = 45°, what is the measure of D?
40. If ⧍ABC ≅⧍DEF and 𝐴𝐵 = 12, what is 𝐷𝐸?