First Quarter Geometry Exam Review
Name:______
Period:______
1. What is the value of x?2. Solve for x
(a)30
(b)5
(c)12
(d)25
Directions 3-6: Given , state whether the given angles are congruent or supplementary. If no conclusion can be reached, write no conclusion.
3.______
4.______
5.______
6. ______
Directions 7-9: Given , find the measure of each angle.
7.
8.
9.
10. Write an equation of the line that passes through the point (-7, -8) and is parallel to the line.
11. Write an equation for the line shown.
12. Graph the equation. 13. Graph the equation.
14. Find the value of x and y. 15. Solve for x.
x = ______
y = ______
____16.Which statement is the inverse of the conditional:
If you play guitar, then you are a musician.
a. / You play guitar if and only if you are a musician. / c. / If you are a musician, then you play guitar.b. / If you are not a musician, then you do not play guitar. / d. / If you do not play guitar, then you are not a musician.
____17.Find the midpoint of given S(-8, 5) and T(3, -2)
a. / (-3/2, 1/2) / c. / (-5, 3)b. / (-7/2, -3/ 2) / d. / (-5/2, 3/2)
____18.Which of the following is the converse of the conditional:
If the sum of the measures of two angles is 90, then the two angles are complementary.
a. / If the angles are complementary, then the sum of the measures of the angles is 90. / c. / If the angles are complementary, then the sum of the measures of the angles is not 90.b. / If the angles are not complementary, then the sum of the measures of the angles is 90. / d. / If the angles are not complementary, then the sum of the measures of the two angles is not 90.
____19.Find the coordinates of the missing endpoint if K is the midpoint of and the coordinates for L and K are L(-6, -2) and K(-3, -5)Hint: Draw on the graph
a. / (-9/2, -7/2) / c. / (-9, 1)b. / (-3/2, 3/2) / d. / (0, -8)
20. What is the slope of the line parallel to ?
a) b) c) d)
21. Which of the following would be the equation of the line perpendicular to the one shown?
22. Write an equation that passes through (2,6) and is perpendicular to
23. Use the diagram to identify which argument is valid.
a. / All people who went camping also watched football.b. / Some people watched football and played video games.
c. / No one went camping.
d. / Some people played video games and went camping.
24.Given the two arguments, write a valid conclusion.
If the football team practices hard, then they will win on Friday.
If the football team wins on Friday, students will celebrate.
______
25. Use the Venn Diagram to find the total number of students in the Key Club
26. Use the Venn Diagram to find the number of students who participated in all 3 clubs.
27. Use the Venn Diagram to find the total number of students participating in any of the 3 clubs.
28. Which is the symbolic representation of this argument?
All horses live on farms.
Strider is a horse.
Therefore, Stride lives on a farm.
29. Which is the symbolic representation for this argument?
If Max studies, then Max will pass English.
Max studies.
Therefore, Max will pass English.
30. What does each symbol represent?
a) ______
b) ______
c) ______
31. is parallel to the line that passes through J(6,4) and K(-3, -2). What is the slope of ?
A. -1 B. C. D.
32. Write the equation of the line that is perpendicular to the line y = , and goes through the point (2, 1)?
A. y = 3x – 5 B. y = C. y = 3x + 4 D. y = -3x + 7
33.In the figure to the right, F is between E and G.
What is the length of ?
34. The mall is 5 miles from Sheri’s house. The mall, yogurt shop, record shop, and Sheri’s house are all on the same street in that order. The record shop is 1.25 miles from Sheri’s house, and the yogurt shop is 1.5 miles from the record shop. How far is it, along the street, from the mall to the yogurt shop? Draw a picture.
Use the diagram below for questions 35-37
35. Which is the correct name for the obtuse angle?
A) B) C) D)
36. Which is the correct name for the right angle?
A) B) C) D)
37. Which is the correct name for the acute angle?
A) B) C) D)
38.In the figure to the right, is a(n) ______angle
A) acuteB) rightC) obtuseD) straight
39.In the diagram, the measure of is .
What is the value of x?
A) 27B) 33C) 67D) 73
40.Graph a line perpendicular to
that goes through point P?
41.In the figure to the right, .
Which of the following statements must be true?
A) B)
C) D)
42.The diagram shows a table being constructed. If the leg piece forms a angle with the top of the table,
what must be the value if x so that the top of the table is parallel with the floor?
(A) (B)
(C) (D)
43.Line v is a transversal. Which is a true statement?
(A) and
(B) and
(C) and
(D) and
44..Lines l and m contain the points shown.
Which of the following points must
lie on line m in order for
lines l and m to be parallel?
(A) (B)
(C) (D)
45.Which two points determine a line parallel to ?
(A) and
(B) and
(C) and
(D) and
46.Line l contains points and . Which of the following lines is parallel to line l?
(A) (B) (C)
(D) (E)
47. Identify two pairs of each angle.
- Corresponding ______
- Alternate Interior______
- Consecutive Interior______
- Alternate Exterior ______
48. Line m is parallel to line n when the value of x is
49. If is an angle bisector find mWZY
“If the weather is good, then a picnic is enjoyable”
50. Write a converse statement. ______
51. Write an inverse statement. ______
52. Write the contrapositive statement. ______
53. Write a biconditional statement.______
54. If line s is parallel to line t what is the m1?
55. Point O is a midpoint. Find NP.
56.Given: and
Prove:
StatementsReasons
1)1)______
2) 2)______
3) 3)______
4) 4)______
5) 5)______
57.Given:
Prove:
1)1)______
2) 2)______
3) 3)______
4) 4)______
5) 5)______
58.Given: DW = ON
Prove: DO = WN
1)1)______
2) 2)______
3) DW = ON3)______
4) 4)______
5) 5)______
6) DO = WN6)______
59.Given:
Prove:
1)1)______
2) 2)______
3) 3)______
4) 4)______
5) 5)______