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Geometry
Name __________________________________hr __
First Semester Exam REVIEW
Part I: Vocabulary
Date ____/____/____ Score:
Some terms may be used more than once.
ratio
acute angle
flow proof
rate of change
acute triangle
formal proof
regular polygon
adjacent angles
if –then statement
related conditionals
alternate exterior angles
incenter
remote interior angles
alternate interior angles
included angle
right angle
altitude
included side
right triangle
angle
indirect proof
scale factor
angle bisector
indirect reasoning
scalene triangle
base angles
inductive reasoning
segment bisector
betweeness
informal proof
sides
centroid
interior
similar polygons
circumcenter
interior angles
skew lines
collinear
isosceles triangle
slope
complementary
line
slope-intercept form
compound statement
line segment
space
concave
linear pair
spherical geometry
concurrent lines
logically equivalent
statement
conditional statement
means
supplementary
congruence transformations
median
transversal
congruent
midpoint
truth table
congruent triangles
midsegment
truth value
conjecture
negation
two-column proof
conjunction
n-gon
undefined terms
consecutive interior angles
non-Euclidean geometry
vertex
construction
obtuse angle
vertex angle
contradiction
obtuse triangle
vertical angles
convex
opposite rays
coordinate proof
orthocenter
coplanar
paragraph proof
corollary
parallel lines
corresponding angles
parallel planes
corresponding angles postulate
perimeter
counterexample
perpendicular
cross products
perpendicular bisector
deductive argument
plane
deductive reasoning
plane Euclidean geometry
degree
point
disjunction
point concurrency
distance
point-slope form
equiangular triangle
polygon
equidistant
precision
equilateral triangle
proof
exterior
proof by contradiction
exterior angle
proportion
Choose from the terms above to complete each sentence.
1. Two lines are ____________________________ if they intersect to form a right angle.
2. Two angles are____________________________ if their measures have a sum of 90°.
3. When two rays intersect with a common endpoint a(n) ____________________________ is formed.
4. The____________________________ is the point located halfway between the endpoints of a segment.
5. ____________________________are nonadjacent angles formed by the intersection of two lines.
6. A(n) ____________________________ divides an angle into two congruent angles.
7. Two angles are____________________________ if their measures have a sum of 180°.
8. Two angles that lie in the same plane are called____________________________ if they share a common
side and a common vertex.
9. A(n) ____________________________ is an angle whose measure is less than 90°.
10. Two segments are ____________________________if they have the same measure.
11. A false example is called a ____________________________.
12. A(n) ____________________________ is an educated guess based on known information.
13. ____________________________uses facts, rules, definitions, or properties to reach logical conclusions.
14. 4 and 5 are ____________________________ .
15. According to the____________________________ , line r
is parallel to line t given 3  8.
16. Given r ║
t, then ____________________________ 4 and 6 are supplementary.
17. Line p is a _____________________ since it intersects two or more lines in a plane at different points.
18. When a linear equation is written in the form y = mx + b, m is the ____________________________of the
line and b is the y-intercept.
19. ____________________________ are located between the lines cut by a transversal.
20. If two lines do not intersect and are everywhere equidistant, the lines
are____________________________ .
21. The Perpendicular Transversal Theorem states that in plane, if a line is perpendicular to one of two parallel
lines, then it is____________________________ to the other.
22. The ratio of the rise to the run of a line is called its ____________________________.
23. A triangle that is equilateral is also called a(n) ____________________________ .
24. A(n) ____________________________has at least one obtuse angle.
25. The sum of the ____________________________is equivalent to the exterior angle of a triangle.
26. The ____________________________angles of an isosceles triangle are congruent.
27. A triangle with different measures for each side is classified as a(n) ____________________________ .
28. A(n) ____________________________ organizes a series of statements in logical order written in boxes
and uses arrows to indicate the order of the statements.
29. A triangle that is translated, reflected or rotated and preserves its shape, is said to be a(n) _____________ .
30. The ASA postulate involves two corresponding angles and their corresponding______________________.
31. A(n) ____________________________ uses figures in the coordinate plane and algebra to prove
geometric concepts.
32. The ____________________________is formed by the congruent legs of an isosceles triangle.
33. The ____________________________of a triangle is a segment whose endpoints are a vertex of a triangle
and the midpoint of the side opposite the vertex.
34. The ____________________________of a triangle is the point where the altitudes of the triangle intersect.
35. The point of concurrency of the perpendicular bisectors of a triangle is called the ____________________.
36. The____________________________ of a triangle is the intersection of the medians of the triangle.
37. ____________________________can be used to prove statements in geometry and prove theorems.
38. The _________________________ of a triangle is the intersection of the angle bisectors of the triangle.
39. The ____________________________of a triangle is a line, segment, or ray that passes through the
midpoint of a side and is perpendicular to that side.
40. The____________________________ is the point where three or more lines intersect.
41. An indirect proof is a proof where you assume that the conclusion is false and then show that this
assumption leads to a __________________of the hypothesis, a definition, postulate, theorem, or some other
accepted fact.
42. If there are 15 girls and 9 boys in an art class, the ____________________________of girls to boys in the
class is 5:3.
43. If ABC ~ DEF, AB = 10, and DE = 2.5, then the ________________________of ABC to DEF is 4:1.
44. In LMN, P lies on LM and Q on LN. If PQ = ½MN, PQ is called a(n) ____________________________.
45. If quadrilaterals ABCD and WXYZ have corresponding angles congruent and corresponding sides
proportional, they are called ____________________________.
46. The equation
3 24

is called a(n) __________________________________.
x 30
47. The ___________________________ of the product of the equation
3 24

are 24x and 90.
x 30
Part II: Proofs
Complete each of the following.
Find the measure of each angle.
a = __________
b = __________
c = __________
d = __________
e = __________
f = __________
g = __________
h = __________