Unit 2 Theorem and Postulate

Question 1

Linear pair postulate

Answer 1

If two angles form a linear pair, they are supplementary

Question 2

Segment addition postulate

Answer 2

If three points A, B, and C are collinear and B is between A and C, then AB+BC=AC

Question 3

Angle addition postulate

Answer 3

If point B lies in the interior of angle AOC them angle AOB + angle BOC = angle AOC

Question 4

Vertical angles theorem

Answer 4

Vertical angles are congruent

Question 5

Corresponding angles postulate

Answer 5

If two parallel lines are cut by a transversal, then the corresponding angles are congruent

Question 6

Alternate interior angles theorem

Answer 6

If two parallel lines are cut by a transversal, then the alternate interior angles are congruent

Question 7

Same side interior angles theorem

Answer 7

If two parallel lines are cut by a transversal, then the same side interior angles are supplementary

Question 8

Alternate exterior angles theorem

Answer 8

if two parallel lines are cut by a transversal, then the alternate exterior angles are congruent

Question 9

Converse of the corresponding angles postulate

Answer 9

If two lines and a transversal form corresponding angles that are congruent then the lines are parallel

Question 10

Converse of the alternate interior angles theorem

Answer 10

If two lines and a transversal form alternate interior angles that are congruent, then the lines are parallel

Question 11

Converse of the same side interior angles theorem

Answer 11

If two lines and a transversal form same-side interior angles that are supplementary, then the lines are parallel

Question 12

Converse of the alternate exterior angles theorem

Answer 12

If two line and a transversal form alternate exterior angles that are congruent, then the lines are parallel

Question 13

Reflexive property of equality

Answer 13

a=a

Question 14

Transitive property of equality

Answer 14

If a=b and b=c, then a=c

Question 15

Substitution property

Answer 15

If a=b, then b=a

Question 16

Reflexive property of congruence

Answer 16

Line AB is congruent to Line AB, Angle A is congruent to Angle A

Question 17

Triangle angle sum theorem

Answer 17

The sum of the measures of the angles of a triangle is 180

Question 18

Exterior angle theorem

Answer 18

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles (R1+R2=E3)

Question 19

Right angles congruence theorem

Answer 19

All right angles are congruent

Question 20

Transitive property of parallel lines

Answer 20

If two lines are parallel to the same line, then they are parallel to eachother

Question 21

If 2 lines are perpendicular to the same line, then they are parallel

Answer 21

In a plane, if two lines are perpendicular to the same line, then they are parallel to eachother

Question 22

Perpendicular transversal theorem

Answer 22

If a transversal if perpendicular to one of two parallel lines, then it is perpendicular to the other