Math-Logic and Proofs Unit-Postulates of Geometry, Arithmetic, and Equality

Question 1

LIne Postulate

Answer 1

You can construct exactly one line through any two points; two points determine a line

Question 2

Line Intersection Postulate

Answer 2

The intersection of two distinct lines is exactly one point

Question 3

Segment Duplication Postulate

Answer 3

You can construct a segment congruent to another segment

Question 4

Angle Duplication Postulate

Answer 4

You can construct an angle congruent to another angle

Question 5

Midpoint Postulate

Answer 5

You can construct exactly one midpoint on any line segment

Question 6

Angle Bisector Postulate

Answer 6

You can construct exactly one angle bisector in any angle.

Question 7

Parallel Postulate

Answer 7

Through a point not on a given line, you can construct exactly one line parallel to the given line

Question 8

Perpendicular Postulate

Answer 8

Through a point not on a given line, you can construct exactly one line perpendicular to the given line.

Question 9

Segment Addition Postulate

Answer 9

If point B is on AC and between points A and C, then AB+BC=AC

Question 10

Angle Addition Postulate

Answer 10

If point D lies in the interior of Angle ABC the and ABD+ angle DBC=angle ABC

Question 11

Linear Pair Postulate

Answer 11

If two angles are a linear pair, then they are supplementary; also applies to linear trios.

Question 12

Corresponding Angles Postulate

Answer 12

If two parallel lines are cut by a transversal forming congruent corresponding anlges, then the lines are parallel.

Question 13

SSS, SAS, and ASA Congruence Postulate

Answer 13

If the afore mentioned values (S for side, A for angles), are congruent in two or more triangles, those triangles are congruent.

Question 14

Bonus: What is a... (when E is an even integer and O is an odd integer)
ExE
ExO
OxO
E+E
E+O
O+O

Answer 14

Even
Even
Odd
Even
Odd
Even