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14 questions
A mathematical statement that requires proof is a
theorem
postulate
definition
conjecture
A mathematical statement that does NOT require proof is a
theorem
postulate
conjecture
definition
Which of the following theorems/postulates would verify that ∠COB & ∠AOD are congruent?
Straight Angle Theorem
Congruent Compliments Theorem
Vertical Angles Theorem
Linear Pair Theorem
If AB=50, which definition would explain why AM=25?
Definition of Congruent
Definition of Midpoint
Definition of Segment
Given that AM=MB, what definition allows us to say that the respective segments are congruent?
Definition of Congruent
Definition of Midpoint
Definition of Segment
If the ray HK is bisecting ∠GHJ, then what reason would you use to say ∠GHK is congruent to ∠KHJ?
Definition of Midpoint
Definition of Angle Bisector
Definition of Congruent
Definition of Segment Bisector
The property demonstrated by the following:
If AB=CD and CD=EF, then AB=EF
reflexive
substitution
segment addition
transitive
In the drawing, line l || m. What is true of angles 1 and 2 and why?
They are supplementary by same side interior angles theorem.
They are congruent by alternate interior angles theorem
They are congruent by alternate exterior angles theorem.
They are congruent by corresponding angles theorem.
Alternate Exterior Angles Theorem
If a pair of parallel lines is cut by a traversal, then alternate exterior angles are congruent.
If a pair of parallel lines is cut by a traversal, then alternate exterior angles are supplementary.
If alternate exterior angles are congruent, then a pair of parallel lines is cut by a traversal.
If alternate exterior angles are supplementary, then a pair of parallel lines is cut by a traversal.
Which property is used here; "If AB=CD, then CD=AB"?
Reflexive Property
Symmetric Property
Transitive Property
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