Download Quiz 2.4-2.6 Review

MA30: GEOMETRY
LESSON NOTES
QUIZ 2.4 - 2.6 REVIEW
Name:
Period:
Write the statement as an if-then statement. Underline the hypothesis & circle the conclusion.
1) Eagles are fish-eating birds.
2) A shape has four sides if it is a square.
Describe how to find the Inverse, Converse, and Contrapositive of a conditional statement.
Inverse Converse Contrapositive -
Write the inverse, converse, and contrapositive of the conditional statement.
3) If you eat fruits and vegetables, you will be healthy.
Inverse Converse Contrapositive -
4) If it stops raining, you will play softball.
Inverse Converse Contrapositive -
5) If you play a musical instrument, you will do well in school.
Inverse Converse Contrapositive -
1)   2 x  6  18
Step
2)
Reason
3  3x 1  12
Step
Reason
__________________ _______________
__________________ _______________
__________________ _______________
__________________ _______________
__________________ _______________
__________________ _______________
__________________
__________________
Solution
Solution
Algorithm - For each equation, determine if the algorithm will give the correct solution. If not,
fix the algorithm by providing the correct steps.
3) Solve 7 x  2  19
Algorithm
4) Solve 3x 11  17
Fix The Algorithm
7 x  2  19
Algorithm
3x  11  17
7 x  21
3x  6
x  3
x2
Fix The Algorithm
Name the property of equality or congruence that justifies each step.
5) K  K
______________________________
6) If 2 x  8  10, then 2 x  18.
______________________________
7) If RS  TW and TW  PQ, then RS  PQ. ______________________________
8) If mA  mB, then mB  mA.
______________________________
Use the given property to complete each statement.
9) Subtraction Property of Equality
If 5 x  6  21, then __________  15.
10) Symmetric Property of Congruence
If H  K , then __________  H .
11) Distributive Property
If 3 x 1  3x  _______.
12) Transitive Property of Congruence
If XYZ  AOB and AOB  WYT , then _____________.
13) Reflexive Property of Congruence
PQR  __________ .
Find the value of each variable and the measure of each labeled angle.
14)
15)
 x  10 
 4 x  35 
5x  60  3x  8 
Algorithm - Determine if the algorithm will give the correct solution. If not, fix the algorithm by
providing the correct steps.
16)
17)
 x  90 
 4x  
Algorithm
 2x  30 
Fix The Algorithm
 x  90   4 x  180
120
Algorithm
Fix The Algorithm
 2 x  30   120
5 x  90  180
2 x  150
5 x  90
x  75
x  18
18) Complete the Proof.
Statements
P
Q
R
Reasons
S
Given ►
Q is the midpoint of PR.
1.
1. Given
2. PQ  QR
2.
3. R is the midpoint of QS .
3. Linear Pair Postulate
4.
4. Definition of Midpoint
5. PQ  QR  QR  RS
5.
6.
6. Transitive Property
7. PQ  QR  PR
9.
8.
8. Segment Addition Postulate
9.
9. Substitution Property
R is the midpoint of QS .
Prove ►
PR  QS
19) Complete the Proof.
A
Statements
C
B
D
1.
S
2.
Given ►
ABC and CBD are complementary.
DBE and CBD form a right angle.
Prove ► ABC  DBE
Reasons
1. Given
2. Given
3.
3. Definition of Complements
4.
4. Congruent Complement Theorem