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WorksheetsReasons for Proofs
Total questions: 20
Worksheet time: 22mins
m∠ADB + m∠BDC = m∠ADC?
then m∠A + m∠B = 90°.
then m∠1 + m∠2 = 180°.
then ∠BAT ≅ ∠MAN.
State the proof reason, given: If AB=BC and BC=CD, then AB=CD
Segment Addition Postulate
Transitive Property
Reflexive Property
Subtraction Property of Equality
State the reason, given:
If B is the midpoint of RL, then RB=BL
Definition of congruent segments
Segment addition postulate
Given
Definition of midpoint
What reasons supports the statement?
Symmetry Property
Reflexive Property
Transitive Property
SSS
What reason supports the statement?
Vertical angles are congruent.
Parallel implies alternate interior angles are congruent.
Parallel implies corresponding angles are congruent.
Reflexive Property
What reason supports the statement?
Parallel implies alternate interior angles are congruent.
Parallel implies corresponding angles are congruent.
Vertical angles are congruent.
Reflexive Property
What does a proof always start with?
Theorems
Given Statement(s)
Postulates
Reasons
Which of the following is true by reflexive property?
What should the reasons be for the first 2 statements?
Reflexive
Side Side Side
Alternate Interior Angles
Given
What step (beyond the given statements) is necessary to prove the triangles congruent?
Why is ∠KJM ≌∠LMJ?
Alternate Exterior angles are congruent
Alternate Interior Angles are congruent
Corresponding Angles are Congruent
Consecutive Interior angles are supplementary
Why is ∠KMJ ≌∠LJM?
Alternate Exterior angles are congruent
Alternate Interior Angles are congruent
Corresponding Angles are Congruent
Consecutive Interior angles are supplementary
