Angle Congruence and Reasoning with Deductive Reasoning

Question 1

Same Side Interior Angle Postulate

Answer 1

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

Question 2

Corresponding Angles Theorem

Answer 2

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

Question 3

Alternate Exterior Angle Theorem

Answer 3

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

Question 4

Same Side Exterior Angle Theorem

Answer 4

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

Question 5

Alternate Interior Angle Theorem

Answer 5

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

Question 6

Congruent Supplements Theorem

Answer 6

If two angles are supplementary to the same angle, then they are congruent

Question 7

Congruent Complements Theorem

Answer 7

If two angles are complementary to the same angle, then they are congruent

Question 8

Same Side Interior Angle Postulate Converse

Answer 8

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

Question 9

Corresponding Angles Theorem Converse

Answer 9

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

Question 10

Alternate Exterior Angle Theorem Converse

Answer 10

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

Question 11

Same Side Exterior Angle Theorem Converse

Answer 11

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

Question 12

Alternate Interior Angle Theorem Converse

Answer 12

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

Question 15

Symmetric Property of Equality

Answer 15

if a = b then b = a

Question 16

Vertical Angle Theorem

Answer 16

Vertical Angles Are Congruent

Question 17

Linear Pair Postulate

Answer 17

If two angles are a linear pair then they add up to 180 degrees

Question 18

Theorem about right angles (not called anything specific, write into proof as the full theorem)

Answer 18

All right angles are congruent

Question 19

Parallel Lines

Answer 19

coplanar lines that do not intersect. II means “is parallel to”

Question 20

Skew lines

Answer 20

Lines that are non-coplanar (are not parallel and do not intersect)

Question 21

Parallel Planes

Answer 21

Planes that do not intersect

Question 22

Transversal

Answer 22

a line that intersects two or more coplanar lines at distinct points