Download Find the distance between the points (-6,6) and (-21,2)

Geometry
Semester 1 Final Review
1. Find the distance between the points (-6,6)
and (-21,2).
Given:
Name _____________________
2. Find the midpoint of (-1,-6) and (-15,8)
mIGH  2x  6  and mFGH  13x  3
4. Name an angle supplementary to DOE .
and mFGI  63
3. Find mIGH and mFGH
5. In the figure, if mAED  103 , what is
mBEC and mAEB ?
6. In the figure, l || n and r is a transversal.
Which of the following is not necessarily true?
A.5  3
B.7  4
C.8  2
D.2  6
7. Use the diagram to the right to complete the
statement using corresponding, alternate interior,
alternate exterior, or consecutive interior
 3 and  6 are ____________ angles
 1 and  5 are ____________ angles
 2 and  8 are ____________ angles
 4 and  6 are ____________ angles
8. Given m2  91, m8  91 , are lines
a and b parallel? Write yes or no.
Geometry
Semester 1 Final Review
2
Find the value of x in each diagram.
9.
10.
Assume l || m in problems #11-13.
11.
12.
13.
14.
15. Find the value of x and the measure of B
16. If mA  60 and mDBC  70 , find
mABD
Decide whether it is possible to prove the triangles are congruent. If possible, state the theorem
or postulate you would use.
17.
18.
19.
20.
21.
22.
Geometry
Semester 1 Final Review
Find the value of x
23.
3
24.
25. Find the value of x:
26. Find the value of x:
27. What is the measure of each base angle of
the triangle?
29. Solve the proportion:
x 9

4 2
30. Find the geometric mean
of the two numbers 9 and 2.
32. Find the scale factor of ABCD to
WXYZ.
Find the values of
33. s
34. t
35. u
28. Classify the transformation as a reflection,
rotation, translation, or dilation.
31. If XYZ has sides of
lengths 4,5,and 8 units, and
ABC has lengths 8,10, and
16 are the triangles similar?
Geometry
Semester 1 Final Review
4
Are the triangles similar? If so, write the similarity statement and the postulate or theorem that
can be used to prove that the triangles are similar.
36.
37.
38. Use the diagram to find the
missing part of the proportion:
YO AE

OB
?
You intend to write an indirect proof of the following theorems. What is the first statement of the
proof?
39. If x2 is odd, then x is odd.
40. If 1  2 ,then line j bisects AB .
41. Name the plane with 3 letters.
42. Name line g with two letters.
Tell if the logic given is inductive or deductive.
43. If Cedric plays in a big game, then he gets
nervous. If Cedric gets nervous, then he
performs well. Therefore if Cedric plays in a
big game, then he performs well.
44. While working with several triangles you
notice that the sum of the angles of the
triangles is 180 degrees. You conclude that the
sum of the angles of all triangles is 180
degrees.
Geometry
Semester 1 Final Review
45. Find PT
46. Find x
47. Find the restrictions on the third side of a
triangle given the two lengths: 11.17
48. Can you make a triangle with the side
lengths 15, 112, 113?
Use the property of equality to complete the statement.
49. Symmetric Property of Equality
If mG  mH then ________________
50. Transitive Property of Equality
If a = b and __________, then a = c
51. Reflexive Property of Equality
A  _____
Write the converse, inverse and contrapositive of the statement “If he is a Senator, then he is a
politician.”
52. Converse
53. Inverse
54. Contrapositive
Find the value of x.
55.
56.
57. Find BC
58. Find x
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Geometry
Semester 1 Final Review
List the angles and sides in order from smallest to largest.
59.
60.
Complete with <, >, or –
61. PR_____VT
62. m<1 _____ m<2
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