Download Chapter 1 Group Review 1. Write the converse, inverse

Name: ____________________________________________________________
Group members: ____________________________________________________
Period: _____________
Date: ______________
Chapter 1 Group Review
1. Write the converse, inverse and contrapositive for the statement and state whether each is true of
false.
Given: If a ray bisects an angle, then it divides the angle into two congruent angles.
a. Converse: _______________________________________________________________________________________
__________________________________________________________________________________________________
True
False
b. Inverse: _______________________________________________________________________________________
__________________________________________________________________________________________________
True
False
c. Contrapositive: ___________________________________________________________________________________
__________________________________________________________________________________________________
True
2.
False

Given: B is the midpoint of AC
A
Prove: AB ≅ BC
Statement
3.
B
Reason
 
Given: OP & OR trisect ∠NOS
m∠NOS = 120°
Find: m∠ROS
N
P
R
O
S
C
Geometry: Chapter 1 Study Guide
1.
Show the notation for point, line, ray, and segment.
2.
Define:
Name___________________________ Per ______
an angle
congruent segments
congruent angles
segment bisector
angle bisector
midpoint of a segment
collinear
noncollinear
3.
What does the Triangle Inequality say?
4.
What do Intersection and Union mean? Write their notation.
5.
What can and can’t be assumed from a drawing?
Assume
6.
What tool measures segments?
7.
Classify four different angle types by their measures.
Name
Can’t Assume
What tool measures angles?
Description
1.
2.
3.
4.
8.
State:
Theorem 1
Theorem 2
9.
Outline the method of direct proof (what steps do you do).
Make two columns called ___________________________ and _____________________________
Start with _______________________________________
End with _______________________________________
Use ______________________ and ________________________ statements for reasons.
10. Write a conditional (IF …. THEN …) in shorthand with p and q. Write the converse, inverse and contrapositive of this
conditional.