Download Chapter 2 SG

Name ___________________________________________
Date_____________
Chapter 2 Study Guide Geometry CP
Directions: Write the converse of each statement, then state if it is true or false. If it is
true, write a biconditional; if it is false, provide a counter example.
1) If a pair of angles are complementary, then they add up to 90 degrees.
Converse: __________________________________________________________
TRUE
FALSE
Counterex./Bicond.:_______________________________________________________
2) If an angle is obtuse, then its measurement is more than 90 degrees.
Converse:
________________________________________________________________________
TRUE
FALSE
Counterex./ Bicond.:_____________________________________________
Directions: Find the complement and supplement for each angle measurement.
3) 30°
complement = _____ supplement = _____
4) 89°
complement = _____ supplement = _____
Directions: Mark up the diagram and show all your work.
If ray OB bisects AOC and mAOB  3x  8 and mBOC  6 x  22 , then
x = _____ and mAOC  _____,
and mAOB  ____,
and mBOC  ____.
________________________________________________________________________
If < BOC is a right angle and m COD = 58.
Then m < DOE = __________ , m < BOA = ___________, and m < AOC = ______.
Name a supplement of angle AOE.
Name a complement of angle DOE.
Directions: Find the value of the variable. Show all your work!
X= _______
Y= ______
Z = _______
Directions: Provide an example of each of the following properties.
Addition Property –
Subtraction Property-
Multiplication Property-
Division Property-
Substitution Property-
Reflexive Property-
Symmetric Property-
Transitive Property-
Distributive Property-
Midpoint Theorem-
Angle Bisector Theorem-
A
X
Directions: Complete the proof.
Given: Ray BX is the bisector of <ABC.
Prove: m < ABX = ½ m < ABC; m < XBC = ½ m < ABC.
B
Statements
Reasons
1. Ray BX is the bisector of <ABC.
1. ____________________
2. <ABX≅ <XBC or m < ABX = m<XBC. 2. ____________________
3. m < ABX + m < XBC = m < ABC
3. ____________________
4. m < ABX + m < ABX = m < ABC
4. ____________________
or 2m < ABX = m < ABC.
5. m < ABX = ½ m < ABC
5. ____________________
6. m < XBC = ½ m < ABC
6. ____________________
Directions: Write and equation for the problem and solve for the angle.
The supplement of an angle is six times the complement, find the angle, the
complement and the supplement.
C