Geometry ‘Reasons’ – 2024 Given Def of congruency Def…
Geometry ‘Reasons’ – 2024 Given Def of congruency Def of complementary/supplementary angles Def of linear pair Def of vertical angles Def of midpoint Def of angle/segment bisector – Def of median – from vertex to midpoint of opposite side Def of perpendicular lines – allows us to say the angles formed is 90 degrees Def of right angle – we can say the measure of the angle is 90 degrees Def of altitude Reflexive Property Transitive/Substitution Property +/-/*/division Property of equality Angle addition postulate Segment addition postulate SAS/SSS/ASA/AAS/HL postulates CPCTC Linear Pair Theorem Vertical Angles Theorem Pythagorean Theorem Congruent Supplement/Complement Theorem And some bonus tips: Each statement requires a reason Congruence is a relationship between objects, equality is a relationship between numbers (like measures of angles or lengths of segments) Equality should be used if adding values Givens should be at the beginning… arrows do not go into Given bubbles Arrows show how statements are derived using other previous statements Repeated redundancy : if we use arithmetic properties, we have to show the things being added/subtracted/etc are equal before using them Try working backwards from the ‘Prove’ statement to see if there is another statement that you can work towards