Deductive Reasoning question and answers

Deductive Reasoning question and answers Congruent Segments Segments are congruent if they have the same length Midpoint of a Segment The point on a segment that determines two congruent segments Congruent Angles Angles are congruent if they have the same measure Complementary Angles Two angles whose sum is 90 degrees Supplementary Angles Two angles whose measures have a sum of 180 degrees Vertical Angles Two angles whose sides form two pairs of opposite rays Transversal A line that intersects two or more lines at different points Corresponding Angles Two angles that occupy corresponding positions Alternate Interior Angles Two angles that lie between the two lines and on opposite sides of the transversal Alternate Exterior Angles Two angles that lie outside the two lines and on opposite sides of the transversal Consecutive Interior Angles Angles that lie between the two lines and on the same side of the transversal Consecutive Exterior Angles Angles that lie outside the two lines and on the same side of the transversal. Addition Property of Equality If two expressions are equal, you can Add the same constant to both sides and the two sides remain equal (if a=b, then a+c=b+c) Subtraction Property of Equality If two expressions are equal, you can Subtract the same constant from both Sides and the two sides remain equal (If a=b, then a-c=b-c) Multiplication Property of Equality If two expressions are equal, you Can multiply both sides by the same Constant and the two sides remain Equal (If a=b, then axc=bxc) Division Property of Equality If two expressions are equal, you Can divide both sides by the same Constant as long as the constant does Not equal zero and the two sides Remain equal (If a=b, then a/c=b/c), (c is not equal to 0) Reflexive Property of Equality A number is equal to itself (a=a) Symmetric Property of Equality If the first number is equal to the Second, then the second is equal to The first (If a=b, then b=a) Transitive Property of Equality If the first number is equal to the Second and the second is equal to the Third, then the first must be equal to The third (If a=b, and b=c, then a=c) Substitution Property of Equality If two expressions are equal, then You can substitute one for the other (If a=b, then a can be substituted for b) Reflexive Property of Congruence Any geometric object is congruent to itself Symmetric Property of Congruence If one geometric object is congruent to a second, then the second object is congruent to the first Transitive Property of Congruence If one geometric object is congruent to a second, and the second is congruent to a third, then the first object is congruent to the third object Segment Addition Postulate If B is between A and C, then AB + BC = AC Subtraction Property of Equality If c is in the interior of AOD, the mAOC+mCOD=mAOD Corresponding Angles Postulate If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent Corresponding Angles Converse Postulate If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel Side-Side-Side (SSS) Congruence Postulate If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent Side-Angle-Side (SAS) Congruence Postulate If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent Angle-Side-Angle (ASA) Congruence Postulate If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent Supplementary Angles Postulate If two adjacent angles form a linear pair, then they are supplementar