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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?