Hachie Chapter 1 2014 2015

Question 1

Postulate #1

Answer 1

Through any two points, there is exactly one line segment

Question 2

Postulate #1-2

Answer 2

If two lines intersect, then they intersect in exactly one point

Question 3

Postulate #1-3

Answer 3

If two planes intersect, then they intersect in exactly one line

Question 4

Postulate #1-4

Answer 4

Through any three noncollinear points, there is exactly one plane

Question 5

Postulate #1-5: The Ruler Postulate

Answer 5

Points on a line can be paired with real numbers and distance between the two points can be found by finding the absolute value of the difference between the numbers. d=|a-b|

Question 6

Postulate #1-6: Segment Addition Postulate

Answer 6

If three points, A, B, and C are collinear and B is between A and C, then AB + BC = AC

Question 7

Postulate #1-7: Protractor Postulate

Answer 7

Give line AB with point O between A and B, Consider ray OA and ray OB and any other rays that can be drawn with O as the endpoint on one side of line AB. These rays can be paired with the numbers from 0 degrees to 180 degrees and can be used to measure angles.

Question 8

Postulate #1-8: Angle Addition Postulate

Answer 8

If point B is in the interior of angle AOC, then the measure of angle AOB + the measure of angle BOC = the measure of angle AOC

Question 9

Distance Formula

Answer 9

The distance between two points is the square root of the sum of the difference of the x-coordinates squared and the difference of the y-coordinates squared

Question 10

Midpoint Formula

Answer 10

The coordinates of the midpoint can be found by finding the mean of the x-coordinates and the mean of the y-coordinates

Question 11

Postulate #4

Answer 11

All right angles are congruent

Question 12

Postulate #2

Answer 12

Any straight line segment can be extended indefinitely in a straight line.

Question 13

Postulate #3

Answer 13

Given any straightline segment, acirclecan be drawn having the segment asradiusand one endpoint as center.

Question 14

Postulate #5: The Parallel Postulate

Answer 14

If two lines are drawn whichintersecta third in such a way that the sum of the inner angles on one side is less than tworight angles, then the two lines inevitably mustintersecteach other on that side if extended far enough.

Question 15

Postulate #1-4A

Answer 15

A line and a plane intersect at exactly one point.

Question 16

Postulate #1-9

Answer 16

If two figures are congruent, then their areas are equal

Question 17

Postulate 1-10

Answer 17

The area of a region is the sum of the areas of its nonoverlapping parts