MIDTERM

Question 1

Postulate 2.1

Answer 1

Through any two points, there is exactly one line

Question 2

Postulate 2.2

Answer 2

Through any three noncollinear points, there is exactly one plane

Question 3

Postulate 2.3

Answer 3

A line contains at least 2 points

Question 4

Postulate 2.4

Answer 4

A plane contains at least three non-collinear points

Question 5

Postulate 2.5

Answer 5

If 2 points lie in a plane, then their intersection is exactly one point

Question 6

Postulate 2.6

Answer 6

If 2 lines intersect, then their intersection is exactly one point.

Question 7

Postulate 2.7

Answer 7

If two planes intersect, then their intersection is a line

Question 8

Addition property of Equality

Answer 8

If a=b, then a+c=b+c

Question 9

Subtraction property of Equality

Answer 9

if a = b, the a-c = b - c

Question 10

Multiplication Property of Equation

Answer 10

a=b, then a x c = b x c

Question 11

Division Property of Equality

Answer 11

if a = b and c ≠ 0, then a/c = b/c

Question 12

Reflexive property of Equality

Answer 12

a=a

Question 13

Symmetric Property of Equality

Answer 13

if a= b and b=a

Question 14

Transitive Property of Equality

Answer 14

if a = b and b = c, the n a = c

Question 15

Substitution Property of Equality

Answer 15

if a = b, then a may be replaced by b in any equation or expression

Question 16

Distributive Property

Answer 16

a (b+c) = ab =ac

Question 17

Angle Addition Postulate

Answer 17

R is in the interior of <PQS if and only if m<PQR + m<RQS = m<PQS

Question 18

Supplement Theorem

Answer 18

if two angles form a linear pair, then they are supplementary angles.
Ex: if <1 and <2 form a linear pair, then m<1+ m<2 = 180

Question 19

Complement Theorem

Answer 19

if the non-common sides of two adjacent angles form a right angle, then the angles are complementary angles.
Ex: if line GF is perpendicular to line GH, the m<3 + m<4 = 90

Question 20

Congruent supplement theorem

Answer 20

Angles supplemnt to the same angle or congruent angles are congruent

Question 21

Congruent compliments theorem

Answer 21

angles compliment to the same angle or to congruent angles are congruent

Question 22

vertical angle theorem

Answer 22

if two angles are vertical angles, then they are congruent

Question 23

Theorem 2.9

Answer 23

Perpendicular lines intersect to form four right angles

Question 24

Theorem 2.10

Answer 24

all right angles are congruent

Question 25

Theorem 2.11

Answer 25

Perpendicular lines form congruent adjacent angles

Question 26

Theorem 2.12

Answer 26

If two angles are congruent and Supplementary, then each angle is a right angle

Question 27

Theorem 2.13

Answer 27

If two congruent angles form a linear pair, then they are right angles