do you understand? 1. essential question how are the properties of segments and angles used to determine their measures?

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# Brief Explanations:
For segments, properties like congruence (if two segments are congruent, they have equal length) and the segment addition postulate (if a point $ B $ is between $ A $ and $ C $, then $ AB + BC=AC $) are used. For angles, properties like congruence (congruent angles have equal measure), angle addition postulate (if a ray $ OC $ is inside $ \angle AOB $, then $ \angle AOC+\angle COB = \angle AOB $), and properties of special angles (like right angles are $ 90^\circ $, straight angles are $ 180^\circ $, vertical angles are congruent, supplementary angles sum to $ 180^\circ $, complementary angles sum to $ 90^\circ $) help determine their measures. These properties allow us to set up equations or use known relationships to find unknown lengths (for segments) or angle measures (for angles).
# Answer:
For segments: Use properties like congruence (equal length for congruent segments) and the segment addition postulate ($ AB + BC = AC $ when $ B $ is between $ A,C $) to find lengths. For angles: Use properties like congruence (equal measure for congruent angles), angle addition postulate ($ \angle AOC+\angle COB=\angle AOB $ for $ OC $ in $ \angle AOB $), and special angle properties (e.g., supplementary angles sum to $ 180^\circ $) to find measures.

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