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What does a given midpoint imply?
2 congruent segments, a segment bisector (implied by midpoint), the median of a triangle.
What does an angle bisector imply?
2 congruent angles.
What does a segment bisector imply?
a midpoint, which implies two congruent segments.
What does a given perpendicular imply?
Right angles, which imply congruent angles. It is also the altitude of a triangle.
What do isosceles triangles imply?
2 congruent sides, and 2 congruent base angles.
What do vertical angles imply?
Congruent angles.
What do equal segments/angles imply?
Congruent segments/angles
Which postulates make triangles congruent?
Side-Angle-Side (SAS), Side-Side-Side (SSS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS)
Which postulates do not make triangles congruent?
Angle-Angle-Angle (AAA), Side-Side-Angle (SSA)/Angle-Side-Side (ASS)
