Chapter 1

Question 1

Postulate #1

Answer 1

A line segment can be drawn between any two points

Question 2

Postulate #2

Answer 2

Any line segment can be extended indefinetely to form a line:

Question 3

Postulate #3

Answer 3

A circle can be formed using any line segment as a radius and one endpoint as the center of the circle

Question 4

Postulate #4

Answer 4

All right angles are congruent

Question 5

Postulate #5: The Parallel Postulate

Answer 5

If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough.

Question 6

Postulate #1-2

Answer 6

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

Question 7

Postulate #1-3

Answer 7

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

Question 8

Postulate #1-4

Answer 8

Through any three non-collinear points, there is exactly one plane

Question 9

Postulate #1-5: The Ruler Postulate

Answer 9

Use a ruler to measure a line segment. Determine the distance using the formula d=|a-b|.

Question 10

Postulate #1-6: Segment Addition Postulate

Answer 10

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

Question 11

Postulate #1-7: The Protractor Postulate

Answer 11

You can use a protractor to measure the degrees of an angle

Question 12

Postulate #1-8: Angle Addition Postulate

Answer 12

If point B is in the interior of <aoc></aoc>

Question 13

The Distance Formula

Answer 13

The distance, d, between two points A (x₁, y₁) and B (x₂, y₂), is

d = “the square root of” (x₂-x₁)² + (y₂-y₁)²

Question 14

The Midpoint Formula

Answer 14

The coordinates of the midpoint M of segnent AB with the endpoints A (x₁, y₁) and B (x₂, y₂) is ((x₁+x₂)/2,(y₁+y₂)/2)