theorems page one

Question 1

right angles congruence theorem

Answer 1

all right angles are congruent

Question 2

congruent supplements theorem

Answer 2

if two angles are supplementary to the same angle (or to congruent angles) then they are congruent

Question 3

congruent complements theorem

Answer 3

if two angles are complementary to the same angle then they are congruent

Question 4

vertical angles congruence theorems

Answer 4

all vertical angles are congruent

Question 5

corresponding angles theorem

Answer 5

if two parallel lines are cut by a transversal then the pairs of corresponding angles are congruent.

Question 6

alternate exterior angles theorem

Answer 6

if two lines are cut by a transversal then the pair ls of alternate exterior angles are congruent.

Question 7

alternate interior angles

Answer 7

if two parallel lines are cut by a transversal then the pairs of alternate interior angles are congruent

Question 8

consecutive interior angles theorem

Answer 8

if two parallel lines are cut by a transversal and then the pairs of consecutive interior angles are supplementary

Question 9

corresponding angles converse

Answer 9

if two lines are cut by transversal so the corresponding angles are congruent then the lines are parallel

Question 10

alternate interior angles converse

Answer 10

if two lines are cut by a transversal so the alternate interior angles are congruent then the lines are parallel

Question 11

alternate exterior angles converse

Answer 11

if two lines are cut by a transversal so the alternate interior angles are congruent then the lines are parallel

Question 12

consecutive interior angles converse

Answer 12

if two lines are cut by a transversal so the consecutive interior angles are supplementary then the lines are parallel

Question 13

transitive property of parallel lines

Answer 13

it’s two lines are parallel to the same line than they are parallel to each other

Question 14

linear pair perpendicular theorem

Answer 14

if two lines intersect to form a linear pair of congruent angles then the lines are perpendicular

Question 15

perpendicular transversal theorem

Answer 15

in a plane if a transversal is perpendicular to one of two parallel lines then it is perpendicular to the other line

Question 16

Lines perpendicular to a transversal theorem

Answer 16

in a plane, if two lines are perpendicular to the same line then they are parallel to each other

Question 17

slopes of parallel lines

Answer 17

in a coordinate plane, to non-vertical lines are parallel if and only if they have the same slope. Any two vertical lines are parallel

Question 18

slopes of perpendicular lines

Answer 18

in a coordinate plane, to non-vertical lines are perpendicular if and only if the product of their scopes is negative one. Horizontal lines are perpendicular to vertical lines

Question 19

composition theorem

Answer 19

the composition of two (or more) rigid motions is a rigid motion

Question 20

reflections in parallel lines theorem

Answer 20

if lines K and M are parallel, then a reflection in line K followed by a reflection in line M is the same as a translation. Is A” is the image of A, then.

1. AA” is perpendicular to k and m and
2. AA” = 2D where d is the distance between k and m