If
If B is between A
and C, then
1
If P is in the
interior of RST,
then
2
If B is the
midpoint of AC ,
then
3
If two angles are
vertical, then
4
If angles are
adjacent, then
5
If angles are a
linear pair, then
6
If angles are
supplementary,
then
7
If angles are
complementary,
then
8
Angle Add. Post.
mRSP  mPST
 mRST
2
Seg. Add. Post.
AB BC  AC
1
they are formed
by 2 pairs of
opposite rays.
4
6
AB  BC
3
2 adjacent angles
whose noncommon
sides form opposite
rays.
They share a
common vertex
and side.
5
Their sum is 90
degrees.
8
Their sum is 180
degrees.
7
If lines are
perpendicular,
then
9
If two points,
then
10
If there is a line,
then
11
If two lines
intersect, then
12
If two planes
intersect, then
13
If there is a
plane, then
14
If there are at least
3 noncollinear
points, then
15
If two points lie
in the plane,
then
16
There is exactly
one line.
10
They form right
angles.
9
Their
intersection is a
point.
12
There is at least
2 points.
11
The plane contains
at least 3
noncollinear points.
14
Their
intersection is a
line.
13
A line containing
those points lies
in the plane.
16
There is exactly
one plane.
15
If a ray bisects an
angle, then
17
Conditional
Statement
18
Converse
19
Inverse
20
If a segment
bisector, then
Contrapositive
21
22
If polygons is
equilateral, then
23
If polygon is
equiangular,
then
24
If hypothesis,
then conclusion.
18
The ray forms 2
pairs of
congruent angles.
17
Negation of the
original
conditional
20
19
It finds the
midpoint
22
Negation of the
converse
21
All angles are
congruent
24
Switching the
hypothesis and
conclusion of the
original conditional
All sides are
congruent.
23
If polygon is
regular, then
25
Undefined terms
of Geometry
26
1
1
2
What is the name for 1& 2 ?
What is the name for 1& 2 ?
27
28
1
1
2
2
What is the name for 1& 2 ?
29
If two parallel lines are
cut by a transversal,
then consecutive
interior angles are ___.
31
2
What is the name for 1& 2 ?
30
If two parallel lines are
cut by a transversal,
then corresponding
angles are ____.
32
Point, Line, and
Plane
26
It is convex and all
sides and angles
are congruent
25
Consecutive
interior angles
28
Corresponding
angles
27
Alternate
interior angles
30
Alternate
exterior angles
29
congruent
32
supplementary
31
If two parallel lines are
cut by a transversal,
then alternate interior
angles are ____.
33
If two parallel lines are
cut by a transversal,
then alternate exterior
angles are ____.
34
If a transversal,
then
35
If skew lines,
then
36
Name the
property
QW=QW
37
Name the property
If AB=DE and
DE=RT, then AB=RT
39
Name the
property
MN=HJ, HJ=MN
38
Name the property
If DE=GH+5 and
GH=x, then DE=x+5
40
congruent
34
congruent
33
The lines do not
intersect and are
noncoplanar
36
A line that
intersects two
other lines
35
Symmetric
Property
38
Reflexive
Property
37
Substitution
Property
40
Transitive
Property
39
Linear Pair
Postulate
41
Vertical Angles
congruence
theorem
42
Right Angles
congruence
theorem
Right Angle
43
44
Corresponding
angles postulate
45
Consecutive
interior angles
theorem
46
Alternate
Interior angles
theorem
47
Alternate
exterior angles
theorem
48
Vertical Angles
are congruent
42
If two angles form a
linear pair, then
they are
supplementary
41
All right angles
are congruent
An angle that
measures 90
degrees
44
43
If parallel lines are cut by
transversal, then
consecutive interior
angles are supplementary
If parallel lines are cut
by transversal, then
corresponding angles
are congruent.
46
45
If parallel lines are cut
by transversal, then
alternate exterior
angles are congruent.
If parallel lines are cut
by transversal, then
alternate interior
angles are congruent.
48
47
Converse
Corresponding
angles postulate
49
Converse
Consecutive interior
angles theorem
50
Converse
alternate interior
angles theorem
51
Converse
alternate exterior
angles theorem
52
Triangle Sum
Theorem
53
Exterior Angle
Theorem
54
Corollary to
Triangle Sum
Theorem
55
Third Angle
Theorem
56
If consecutive interior
angles are
supplementary, then
the lines are parallel.
50
If alternate exterior
angles are
congruent, then the
lines are parallel.
If corresponding
angles are
congruent, then the
lines are parallel.
49
If alternate interior
angles are
congruent, then the
lines are parallel.
52
51
The measure of the
exterior angle is equal to
the sum of the two
nonadjacent interior
angles.
54
The sum of the
interior angles of
a triangle is 180.
If two angles of one
triangle are congruent to
two angles of another
triangle, then the third
56 angles are congruent.
53
The acute angles of
a right triangle are
complementary
55
SSS Congruence
Postulate
57
ASA Congruence
Postulate
59
SAS Congruence
Postulate
58
AAS Congruence
Theorem
60
Hypotenuse Leg
Congruence
Theorem
61
Base Angles
Theorem
62
Converse of the
Base Angles
Theorem
63
CPCTC
64
If three sides of one
triangle are congruent to
three sides of a second
triangle, then the
57 triangles are congruent
If two sides and an included
side of one triangle are
congruent to an included angle
and two sides of an another
triangle, then the triangles are
congruent.
58
If two angles and the included
side of one triangle are
congruent to two angles and
the include side of another
triangle, then the triangles are
congruent.
59
If two angles and a nonincluded side of one triangle
are congruent to two angles
and a non-included side of
another triangle, then the
triangles are congruent.
60
If the hypotenuse and a leg of
a right triangle are congruent
to the hypotenuse and a leg of
another right triangle, then the
triangles are congruent.
If two side of a triangle
are congruent, then the
angles opposite them
are congruent.
61
62
If two angles of a triangle
are congruent, then the
sides opposite them are
congruent.
63
Corresponding Parts
of Congruent
Triangles are
Congruent
64
Congruent
Supplement
Theorem
65
Congruent
Complement
Theorem
66
Equilateral
Triangle
67
Isosceles
Triangle
68
Scalene Triangle
69
Midsegment of a
Triangle
70
Perpendicular
Bisector
71
Median of a
triangle
72
If two angles are
complementary to the same
angle (or to congruent
angles), then the two angles
are congruent.
If two angles are
supplementary to the same
angle (or to congruent
angles), then the two angles
are congruent.
66
65
Triangle with 2
congruent sides
68
Triangle with 3
congruent sides
67
A segment that
connects the
midpoints of two
sides of the triangle.
70
A segment from one
vertex of the triangle
to the midpoint of the
opposite side.
72
Triangle with no
congruent sides
69
A segment, ray, line, or
plane that is
perpendicular to a
segment at its midpoint.
71
Altitude of a
Triangle
73
Angle Bisector of
a Triangle
74
Circumcenter
75
Incenter
76
Centroid
77
Orthocenter
78
Converse of
Perpendicular
Bisector Theorem
Perpendicular
Bisector
Theorem
79
80
A segment from one vertex
of a triangle to the side
opposite and divides the
angle into two congruent
angles.
The perpendicular segment
from one vertex of the
triangle to the opposite side
or to the line contains the
opposite side.
74
73
The point of concurrency of
the three angle bisectors of
the triangle. The point is
equidistant from the sides
of the triangle.
The point of concurrency of
the three perpendicular
bisectors of the triangle. It
is equidistant from the
vertices.
76
The point of concurrency of
the three altitudes of the
triangle.
78
If a point is equidistant from
the endpoints of a segment,
then it is on the
perpendicular bisector of
the segment.
80
75
The point of concurrency of
the three medians of the
triangle. The point is two
thirds the distance from each
vertex to the midpoint of the
opposite side.
77
If a point is on a
perpendicular bisector of a
segment, then it is
equidistant from the
endpoints of the segment.
79
Angle Bisector
Theorem
81
Converse of the
Angle Bisector
Theorem
82
If one side of a
triangle is longer than
another side, then
If one angle of a
triangle is larger than
another angle, then
83
84
Hinge Theorem
If two sides of one triangle are
congruent to two sides of another
triangle, and the included angle of
the first is larger than the included
angle of the second, then
Converse of Hinge Theorem
If two sides of one triangle are
congruent to two sides of another
triangle, and the third side of the
first is longer than the third side of
the second, then
85
86
Triangle
Inequality
Theorem
87
If two polygons
are similar, then
88
If a point is in the interior of
an angle and is equidistant
from the sides of the angle,
then it lies on the bisector
of the angle.
If a point is on the
bisector of an angle, then
it is equidistant from the
two sides of the angle.
82
81
The side opposite the
larger angle is longer
than the side opposite
the smaller angle.
84
The angle opposite the
longer side is larger
than the angle opposite
the shorter side.
83
The included angle of
the first is larger than
the included angle of
the second.
The third side of the
first is longer than the
third side of the
second.
86
85
The ratio of their
perimeters is equal to the
ratios of their
corresponding side
lengths.
88
The sum of the lengths of
any two sides of a triangle is
greater than the length of
the third side.
87
Side-Side-Side
Similarity
Theorem
89
Side-Angle-Side
Similarity
Theorem
90
Angle-Angle
Similarity
Postulate
91
93
Triangle
Proportionality
Theorem
92
Converse of the
Triangle
Proportionality
Theorem
If three parallel
lines intersect two
transversals, then
94
If a ray bisects an
angle of a
triangle, then
95
Proportion
96
If an angle of one triangle is
congruent to an angle of a
second triangle and the
lengths of the sides including
these angles are proportional,
90then the triangles are similar.
If a line parallel to one
side of a triangle
intersects the other two
sides, then it divides the
two sides proportionally.
92
they divide the
transversals
proportionally.
94
89
If two angles of one triangle
are congruent to two angles
of another triangle, then
the two triangles are
similar.
91
If a line divides two sides
of a triangle
proportionally, then it is
parallel to the third side.
93
extreme  mean
mean extreme
An equation of two equal
ratios.
96
If the corresponding side
lengths of two triangles are
proportional, then the
triangles are similar.
It divides the opposite side
into segments whose
lengths are proportional to
the lengths of the other two
sides.
95
97
98
99
100
101
102
103
104
98
97
100
99
102
101
104
103