interim 1.2, 1.3, 1.5

Question 1

inductive reasoning

Answer 1

reaching a conclusion by observing patterns

Question 2

deductive reasoning

Answer 2

using evidence to reach a conclusion

Question 3

through any three points there is…

Answer 3

at least one plane (postulate 7)

Question 4

through any three noncollinear points there is…

Answer 4

exactly one plane (postulate 7)

Question 5

if two plains intersect…

Answer 5

their intersection is a line (postulate 9)

Question 6

through a line and point not on the line there is…

Answer 6

exactly one plane

Question 7

if two lines intersect, how many planes contains the lines?

Answer 7

exactly one plane

Question 8

true or false: any three points are always coplanar.

Answer 8

true

Question 9

true or false: two intersecting lines determine a plane.

Answer 9

true

Question 10

true or false: a plane contains at least three noncollinear points.

Answer 10

true

Question 11

true or false: two planes can intersect in exactly one point.

Answer 11

false

Question 12

true or false: three noncollinear points can lie in each of two different planes.

Answer 12

false

Question 13

name the postulate or theorem: line FH is contained in the plane FGH.

Answer 13

if two points are in a plane, that line is in the plane.