1. Geometry – Midterm Exam
Created by Educational Technology Network

2. 10 20 30 40 50 Chapter One Chapter Two Chapter Three Chapter Four
Chapter Six 10 20 30 40 50

3. Question
What is the intersection of two distinct, non parallel planes?

4. Answer 1 – 10
line

5. Question
Point S lies between R and t on segment RT. If RS = 8y + 4, ST = 4y+8, and RT = 15y – 9, find the value of y. Then find RS, ST, and RT.

6. Answer 1 – 20
y = 7, RS = 60, ST = 36, and RT = 96

7. Question
<MLN and <JKL are complementary. M<MLN = 7x – 1, and m<JLK = 4x + 3.
Solve for x. And find m<MLN and m<JKL.

8. Answer 1 – 30
X = 8, m<MLN = 55 and m<JKL = 35

9. Question
Find LM to the nearest tenth if L(-4, -2) and M(1, 3).

10. Answer 1 – 40
7.1

11. Question
Ray SV bisexts <RST. If <RSV = 60, what is m<RST?

12. Answer 1 – 50
120

13. Question 2 - 10 Find a counterexample to prove this statement false.
The cube of a number is always greater
than that number.

14. Answer 2 – 10
0 or any negative number

15. Question
What does it mean to be a good definition.

16. Answer 2 – 20
clear and reversible

17. Question
The measure of an angle is 48 degrees more than the measure of its complement. What is the measure of the larger angle?

18. Answer 2 – 30
69 degrees

19. Question
What does it mean to be a counterexample?

20. Answer 2 – 40
Statement that proves something false.

21. Question
Find the values of the variables.

22. Answer 2 – 50
x = 7 y = 9

23. Question
Find the value of x and y:

24. Answer 3 – 10
x = 68 y = 32

25. Question
Solve for x:

26. Answer 3 – 20
x = 90

27. Question
Find the equation of the line that is perpendicular to y = 1/2x – 5 going through the coordinate point (4, 0)

28. Answer 3 – 30
y = -2x + 8

29. Question
Find the equation of the line that is perpendicular to the line y = -2x – 8 and goes through the coordinate point (4, 4).

30. Answer 3 – 40
y = ½x + 2

31. Question
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (-9, 3) and (-5, 7)
Line 2: (-11, 6) and (-7, 2)

32. Answer 3 – 50
perpendicular

33. Question
Find the values of the variables.

34. Answer 4 – 10
x = 10 and y = 20

35. Question
Is it possible to prove the triangles congruent? If so, how?

36. Answer 4 – 20
Yes, SAS

37. Question
Is it possible to prove the triangle congruent? If so, how?

38. Answer 4 – 30
yes, HL

39. Question
Write an equation of the line that passes through (-2, 1) and is parallel to 10x + 4y = -8

40. Answer 4 – 40
y = -5/2x – 4

41. Question
Find x, y, and z.

42. Answer 4 – 50
x = 70, y = 110, z = 30

43. Question
Find the sum of the measures of the interior angles of a 25-gon

44. Answer 5 – 10
4140

45. Question
Each interior angle of the regular n-gon has a measure of Find the number of sides in the polygon.

46. Answer 5 – 20
18 sides

47. Question
Find the values of the variables:

48. Answer 5 – 30
x = 14

49. Question
Find the values of the variables:

50. Answer 5 – 40
x = 5 y = 11

51. Question
Find the measure of each angle:

52. Answer 5 – 50
90, 30, 60, 30, 30, 60