Download Midterm Review

Midterm Review
Geometry
Name______________________________
1. Segment Addition Postulate ______ + ______ = ______
A
B
C
2. A _____________________ divides a segment into two congruent segments.
3. A segment _____________________ divides a segment into two congruent segments.
A
4. Angle Addition Postulate _____________ + _____________ = _____________
5. An _____________________ angle measures more than 0º and less than 90º.
D
B
C
6. A _____________________ angle measures 90º.
7. An _____________________ angle measures more than 90º and less than 180º.
8. A _____________________ angle measures 180º.
9. Angles that form a linear pair are _____________________.
10. Perpendicular lines form _____________________ angles.
11. Vertical angles are _____________________.
12. Two angles that share a common vertex and side are _____________________ angles.
13. Complementary angles have a sum of _____________ .
14. Supplementary angles have a sum of _____________ .
15. An angle _____________________ divides an angle into two congruent angles.
16. Midpoint Formula:
17. Distance Formula:
18. A _____________________ is a closed figure formed by three or more segments.
19. A _____________________ polygon has all sides congruent, all interior angles congruent and all
exterior angles congruent.
20. Fill in the number for each prefix.
Tri
Hex
Oct
Non
Quad
Pent
Hept
Dec
21. Area is the number of _____________________ units a figure _____________________.
22. Perimeter is the _____________________ around a _____________________.
23. Circumference is the _____________________ around a _____________________.
24. When enclosing 4 sides of a rectangle with a given perimeter, the maximum area is obtained when
all four sides are _____________________.
25. When enclosing 3 sides of a rectangle with a given perimeter, the maximum area is obtained when
the sides have the following ratio: _____________________.
26. A triangle with three congruent sides is an _____________________ triangle.
27. A triangle with at least 2 congruent sides is an _____________________ triangle.
28. A triangle with no congruent sides is a _____________________ triangle.
29. A triangle with all three angles less than 90º is an _____________________ triangle.
30. A triangle with one right angle is a _____________________ triangle.
31. A triangle with one obtuse angle is an _____________________ triangle.
32. Write an example for each of the following properties:
Reflexive property __________________________________________
Symmetric property __________________________________________
Transitive property__________________________________________
33. If two angles are supplements of the same angle (or of congruent angles) then the two angles are
_____________________.
34. If two angles are complements of the same angle (or of congruent angles) then the two angles are
_____________________.
35. All right angles are _____________________.
36. If two angles are congruent and supplementary, then each angle is a _____________________
angle.
37. If two parallel lines are cut by a transversal, then
corresponding angles are _____________________.
alternate interior angles are _____________________.
alternate exterior angles are _____________________.
38. Using the diagram below, identify one example of the following angle pairs:
Corresponding Angles: ________________________
Vertical Angles: ________________________
Adjacent Angles: ________________________
Alternate Interior Angles: ________________________
Same Side Interior Angles: ________________________
Alternate Exterior Angles: ________________________
Same Side Exterior Angles: ________________________
Congruent Angles: ________________________
Supplementary Angles: ________________________
39. If corresponding angles are congruent, then the lines are _____________________.
40. If alternate interior angles are congruent, then the lines are _____________________.
41. If alternate exterior angles are congruent, then the lines are _____________________.
42. If consecutive interior angles are supplementary, then the lines are _____________________.
43. If two lines are parallel to the same line, then they are _____________________ to each
other.
44. If two lines are perpendicular to the same line, then they are _____________________ to
each other.
45. If a line is perpendicular to one of two parallel lines, then it is also _____________________
to the other.
46. The sum of the interior angles of a triangle is _____________________.
47. In a polygon, an interior angle and its adjacent exterior angle are _____________________.
48. An exterior angle of a triangle is equal to the sum of its _____________________ angles.
49. Slope formula:
50. Slope-intercept form of a line _____________________.
51. Point-slope form of a line _____________________.
52. Horizontal lines have a slope of _____________________.
53. Vertical lines have a slope that is _____________________.
54. Parallel lines have the same _____________________.
55. Perpendicular lines have slopes that are _____________________.
56. The exception to the perpendicular lines are horizontal lines which have a slope of
and a vertical lines which have a slope that is
. They are not negative
reciprocals; however, they are still perpendicular.
For questions 57-59, write the definition and draw and label a diagram for each.
57. Perpendicular bisector of a triangle
58. Angle bisector of a triangle
59. Altitude of a triangle
,