1. Name ______________________________________________
I) Theorems You Should Know
Vertical Angles Theorem
Congruent Supplements Theorem
Congruent Complements Theorem
Alternate Interior Angles Theorem, AIA
Same-Side Interior Angles Theorem, CIA
Alternate Exterior Angles Theorem, AEA)
Converse of Alternate Interior Angles Theorem
Converse of Same-Side Interior Angles Theorem
Converse of Alternate Exterior Angles Theorem
In a plane, if a two lines are parallel to the same line, then they are parallel to each other.
In a plane, if a two lines are perpendicular to the same line, then they are parallel.
In a plane if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other.
Triangle Angle Sum Theorem
Triangle Exterior Angle Theorem
Polygon Angle Sum Theorem
Polygon Exterior Angle-Sum Theorem
If two angles of one triangles are congruent to two angles of another triangle then the third angles are congruent
Angle-Angle-Side (AAS) Theorem
Isosceles Triangle Theorem
Converse of Isosceles Triangle Theorem
The bisector of a vertex angle of an isosceles triangle is the perpendicular bisector of the base.
Hypotenuse Leg (HL) Theorem
II) Postulates You Should Know
Segment Addition Postulate
Angle Addition Postulate
Corresponding Angles
Converse of Corresponding Angles Postulate
Side-Side-Side (SSS) Postulate
Side-Angle-Side (SAS) Postulate
Angle-Side-Angle (ASA) Postulate

2. III) Terms You Should Know
Collinear Points Hypotenuse
Congruent Segments Legs of a Right Triangle
Coplanar
Line
Line Segment
Midpoint
Opposite Ray
Parallel Lines
Parallel Planes
Plane
Point
Ray
Segment
Skew Lines
Alternate Exterior Angles
Alternate Interior Angles
Same Side Interior Angles
Corresponding Angles
Same Side Exterior Angles
Transversal
Segment Bisector
Angle
Angle Bisector
Straight Angle
Acute Angle
Obtuse Angle
Right Angle
Vertex
Adjacent Angles
Vertical Angles
Complementary Angles
Supplementary Angle
Exterior Angle of a Polygon
Remote Interior Angles of a Triangle
Polygon
Concave Polygon
Convex Polygon
Regular Polygon
Corresponding Parts of Congruent Triangles are Congruent
Legs of an Isosceles Triangle
Vertex Angle of an Isosceles Triangle
Base Angles of an Isosceles Triangle
Base of an Isosceles Triangle
IV) Properties You should know
Properties of Equality
Addition
Subtraction
Multiplication
Division
Reflexive
Symmetric
Transitive
Substitution
Distributive
Properties of Congruence
Classify Triangles
Acute
Obtuse
Right
Scalene
Isosceles
Equilateral
Equiangular
Classify Polygons
Triangle
Quadrilateral
Pentagon
Hexagon
Heptagon
Octagon
Nonagon

3. Name ___________________________________________
GEOMETRY
Review Sheet
Test 4-5 to 4-7
Name ___________________________________________
I) Solve for x. 1) 2)
(23x + 8)°
8x + 3
(3x – 1)° 3x
6x – 3 3) 4)
25°
4x°
34° x°
II) Vocabulary

4. III) Which triangles are congruent. How do you know
III) Which triangles are congruent. How do you know? (AAS, ASA, SSS, SAS or HL) 5) P Q T S R 6)
Hint: there are two sets of congruent triangles here.

5. IV) Write a proof 7) B A C D 8) B X C A K 9) L P Q

6. Name ___________________________________________
GEOMETRY
Review Sheet
Test 4-5 to 4-7
Answers
Name ___________________________________________
1) x = 6
2) x = 1
3) x = 14
4) x = 90
5) QPR  SRP HL
6) DEA  BAE
SAS
AND
CEB  CAD

7. 7)
Given
BDA &  BDC
are right angles
Def of
Perpendicular
BAC is isosceles
Given
Def of Isosceles
Triangle
 BDA   BDC HL
CPCTC
Reflexive Prop
of Congruence OR
Given
BDA &  BDC
are right angles
Def of
Perpendicular
 BDA   BDC
All right angles
Are congruent
BAC is isosceles
Given
Base Angles of
Isosceles Triangle
Are Congruent
 A   C
 BDA   BDC
AAS
CPCTC
Reflexive Prop
of Congruence 8)
Given
 XBA   BAC
AIA
 BAC   BCA
Transitive Prop
of Congruence
Converse of
Isosceles 
Theorem
Definition of
Isosceles Triangle
ABC is isosceles
 XBA   BCA
Given

8. 9)  PKL   QKL  PKL   QKL < P  < Q Given Given
Given
 PKL   QKL
 PKL   QKL
< P  < Q
Given
Def of Bisector
SAS
CPCTC
Reflexive Prop of Congruence