Question

D was wrong..
One basis for demonstrating that the perpendicular bisector construction is valid is based on what idea, definition or theorem?
Select one:
a. Parallel lines are always the same distance apart.
b. Alternate interior angles of parallel lines.
c. Congruent triangles and CPCTC.
d. Linear pair angles are supplementary. Incorrect

Answer 1

and
C was wrong
The Parallel Postulate states, in effect, that:
Select one:
a. Parallel lines form 90° angles.
b. Parallel lines can be drawn through only certain points in a plane.
c. Through a point not on a line, there exists at least one line parallel to the given line. Incorrect
d. Through a point not on a line, there exists exactly one line parallel to the given line.

Answer 2

C was wrong for the fist?

Answer 3

take a look at this picture...
https://images.search.yahoo.com/images/view;_ylt=AwrCxIfMR0RWR2QAJQBXNyoA;_ylu=X3oDMTBsY2xzZWFmBGNvbG8DYmYxBHBvcwMxBHNlYwNzYw--?p=perpendicular%20bisector%20construction%20proof&back=https%3A%2F%2Fsearch.yahoo.com%2Fsearch%3Ffr%3Dyfp-t-901-s%26fr2%3Dsb-top-search%26hspart%3Dyahoo%26hsimp%3Dyhs-default%26p%3Dperpendicular%2520bisector%2520construction%2520proof&sigb=14hrno5k7&imgurl=www.mathopenref.com%2Fimages%2Fconstructions%2Fconstbisectline%2Fproof.png&sigi=122iajpfi&rurl=http%3A%2F%2Fbecuo.com%2Fperpendicular-bisector-construction&sigr=11k1vkgic&name=How%20to%20bisect%20a%20segment%20with%20compass%20and%20straightedge%20or%20ruler%20...&sign=122im9a2f&tt=How%20to%20bisect%20a%20segment%20with%20compass%20and%20straightedge%20or%20ruler%20...&sigt=122im9a2f&no=3&w=300&h=208&size=10KB

Answer 4

yeah the second is that there is only 1 parallel line through a given point, that is parallel to another given line

Answer 5

given a line and a point, there is only 1 way to draw a second line through that point parallel to the other line

Answer 6

you can draw an infinite number of different lines through that one point, all with different slopes, but only 1 has the same exact slope as the other given line