Download Chapter 2 Review

Geometry Honors: Chapter 2 Review
Define each key word, Property, or Postulate.
supplementary angles
complementary angles
adjacent angles
linear pair
vertical angles
Addition Property of Equality
Subtraction Property of
Equality
Reflexive Property
Substitution Property
Transitive Property
Linear Pair Postulate
Segment Addition Postulate
Angle Addition Postulate
Right Angle Congruence
Theorem
Congruent Supplement
Theorem
Congruent Complement
Theorem
Vertical Angle Theorem
Corresponding Angle
Postulate
Name:____________________
Alternate Interior Angle
Theorem
Alternate Exterior Angle
Theorem
Same-side Interior Angle
Theorem
Same-side Exterior Angle
Theorem
Solve.
1. Consider the conditional statement, “If Micah’s
average score is 92 or greater, then he will receive
an A.”
a. What is the hypothesis, p?
a.
b.
b. What is the conclusion, q?
c. What is the truth value of the conditional statement
when p is false and q is true?
2. Sketch and label each of the following geometric
figures.
c.
a.
a. Two intersecting lines with vertical angles 1 and 2
and vertical angles 3 and 4
b. Name all of the linear pairs in the figure from part
(a).
b.
c. Name the congruent angles and the supplementary
angles in the figure from part (a).
c.
3. The variables x and y in the figure represent the
measures of angles. Solve for x and y.
x
y
4.
Use the figure to determine the measure of each
indicated angle.
a.
b.
c.
a.
b.
c.
d.
d.
Proofs
5. Complete the flow chart proof by writing the Reason for each statement in the boxes
provided.
Given:
Prove:
6. The boxes below show the parts of a flow chart proof. Rearrange the boxes (write just their
number) and draw arrows to connect the boxes in a logical sequence to prove the
statement.
Given:
,
Prove:
1
4
7
2
3
6
5
8
7. Enter the Statements that complete the two-column proof below.
Given:
Prove:
Statements
a.
Reasons
1. Given
b.
2. vertical angles are congruent
c.
3. vertical angles are congruent
d.
4. Transitive Property
e.
5. Transitive Property
8. Fill in the missing Statements or Reasons of the following two-column proof
Given:
is supplementary to
,
is supplementary to
, and
Prove:
1.
Statements
is supplementary to
Reasons
1. Given
2.
is supplementary to
a.
b.
3. Given
4.
c.
d.
5. Definition of supplementary angles
e.
6. Definition of supplementary angles
7.
f.
g.
8. Subtraction Property of Equality
h.
9. Definition of congruent angles
9. Prove the following theorem using either a flow chart or two column method.
Given:
Prove:
Cumulative Section.
Anything from the Solve Section of the Chapter 1 Test and the following two constructions:
Construct (using only a compass and straightedge) the Angle Bisector of angle
Construct (using only a compass and straightedge) a line perpendicular to
point X.
and through