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WorksheetsSegment and Algebraic Proofs
Total questions: 25
Worksheet time: 35mins
If 9=x, then x=9
Name the Property that this statement illustrates:
If x = y, then 3x = 3y.
Multiplication Property Of Equality
Addition Property Of Equality
Symmetric Property Of Equality
What is the justification?
Congruent Complements Theorem
Angle Bisector Theorem
Angle Addition Postulate
Division Property of Equality
If AB=CD and GH=IK, then AB+GH=CD+IK
Addition Property
Substitution Property
Simplify
None of the above
Given: B is the midpoint of AC. What should you conclude?
AB + BC = AC
AB = BC
A is the segment bisector of BC
ABC is a straight angle
What is the justification?
Definition of congruence
Reflexive Property of Congruence
Segment Addition Postulate
Definition of Midpoint
Use the provided image to determine the statements and reasons that completes the proof.
Using the imagine, what are the statements that complete the proof.
1. (a)
2. (b)
3. (c)
4. (d)
5. (e)
Reference the Image provided.
Identify the reason for each statement provided in the proof.
Start at Statement 2
2. (a)
3. (b)
4. (c)
5. (d)
6. (e)
Based on the provided proof, type the 2nd statement for the reason given.
(a)
Based on the provided proof, select the 2nd statement for the reason given.
Definition of Collinear Points
Definition of Midpoint
Segment Addition Postulate
Substitution Property
Based on the provided proof, select the 3rd reason for the statement.
Definition of Collinear Points
Transitive Property
Segment Addition Postulate
Substitution Property
Based on the provided proof, type of the statement of the 5th reason.
(a)
