theorems

Question 1

Same Side Interior (converse)

Answer 1

If two lines are cut by a transversal such that a pair of interior angles on the same side are supplementary, then the lines are parallel

Question 2

Alternate Interior Angle (converse)

Answer 2

If two lines are cut by transversal such that a pair of alternate interior angles are equal in measure, then the lines are parallel.

Question 3

Same Side Interior

Answer 3

If parallel lines are cut by a transversal, the interior angles on the same side are interior.

Question 4

Corresponding Angle (Converse)

Answer 4

If two lines are cut by a transversal such that a pair of corresponding angles are equal in measure, then the lines are parallel

Question 5

Corresponding Angle

Answer 5

If parallel lines are cut by a transversal then corresponding angles are equal in measure

Question 6

Angles at a point equal 360°

Answer 6

m

Question 7

Linear pairs form supplementary angles

Answer 7

a+b=180°

Question 8

Angle addition postulate

Answer 8

m

Question 9

Vertical angles are equal in measure

Answer 9

A=B

Question 10

All angles in an equilateral triangle are equal in measure

Answer 10

A+B+C=360°

Question 11

Base angles of an isosceles triangle are equal in measure

Answer 11

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Question 12

Exterior angles of a triangle equals the sum of the two interior opposite angles

Answer 12

triangle sum theorem

Question 13

Acute angles in a right triangle sum to 90°

Answer 13

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Question 14

Sum of the angles measured in a triangle is 180°

Answer 14

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Question 15

Partition Property

Answer 15

A whole is equal to the sum of its parts

Question 16

Substitution Property

Answer 16

A quantity may be substituted for its equal

Question 17

Division Property of Equality

Answer 17

If equal quantities are divided by equal quantities then quantities are equal

Question 18

Multiplication Property of Equality

Answer 18

If equal quantities are multiplies by equal quantities then products are equal

Question 19

Subtraction Property of Equality

Answer 19

If equal quantities are subtracted from equal quantities the differences are equal

Question 20

Addition Property of Equality

Answer 20

If equal quantities are added to equal quantities then sums are equal

Question 21

Symmetry Property

Answer 21

If a quantity is equal to a second quantities is equal to the first

Question 22

Transitive Property

Answer 22

If two quantities are equal to the same quantity, then they are equal to each other

Question 23

Reflexive Property

Answer 23

A quantity is equal to itself

Question 24

Alternate interior theorem

Answer 24

If parallel lines are cut by a transversal, then alternate interior angles are equal in measure.