Logic Statements and Proofs in Geometry

Quiz
•
Mathematics
•
10th Grade
•
Easy
Standards-aligned
Anthony Clark
Used 1+ times
FREE Resource
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Name the property of equality or congruence that justifies going from the first statement to the second statement.
Reflexive Property of Congruence
Symmetric Property of Congruence
Distributive Property
Transitive Property of Congruence
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the missing reason in the proof?
Addition
Segment Addition Postulate
Substitution
Transitive Property
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the missing statement in the proof?
m∠ABD+m∠DBC=m∠ABC
m∠ABD=m∠DBC
m∠ABC=m∠ABC
none of the other choices are correct
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which is the correct reason for statements 2 and 4 in the proof?
Given
Transitive Property
Definition of Congruent Angles
Vertical Angles are congruent.
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Fill in the blanks to complete the geometric proof:
∠PQR = 38; B: Definition of Complementary Angles; C: Subtraction
Property of Equality
∠PQR = 38; B: Definition of Supplementary Angles; C: Reflexive Property
∠PQR = 38; B: Definition of Vertical Angles; C: Transitive Property
∠PQR = 38; B: Definition of Complementary Angles; C: Substitution
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What reason justifies statement #2?
Definition of Midpoint
Transitive Property
Addition Property
Segment Addition Postulate
Substitution Property
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How can you prove step #2?
Vertical angle theorem
Subtraction property of equality
Transitive property of congruence
Definition of supplementary angles
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