Chapter 1 - Building Blocks

Question 1

Point

Answer 1

A location in a plane or in space, having no dimensions. Represent as a dot. Name it by a capital letter such as A

(pg. 11)

Question 2

Line

Answer 2

A straight set of points that extends into infinity in both directions. Name it by any 2 points on the line, or by single lowercase letter

(pg. 11)

Question 3

(Line) Segment

Answer 3

Two points on a line, and all the points between those two points. Name it by any 2 endpoints on the segment

(pg. 12)

Question 4

Ray

Answer 4

Part of a line, containing one endpoint and extending to infinity in one direction.

(pg. 12)

Question 5

Opposite Rays

Answer 5

Opposite rays are collinear rays with the same endpoint. They form a line.

(pg. 12)

Question 6

Collinear

Answer 6

Points are collinear if they lie on the same line.

Question 7

Plane

Answer 7

Represented by a flat surface that extends without end and has no thickness. Name it by a capital letter or by at least 3 points in the plane that are not collinear.

(pg. 11)

Question 8

Postulate or Axiom

Answer 8

Is an accepted statement of fact. Basic building block of the logical system of geometry.

(pg. 13)

Question 9

Postulate 1-1

Answer 9

Through any two points there is exactly one line.

pg. 13

Question 10

Postulate 1-2

Answer 10

If two distinct lines intersect they intersect in exactly one point.

(pg. 13)

Question 11

Postulate 1-3

Answer 11

If two distinct planes intersect they intersect in exactly one line.

(pg. 14)

Question 12

Postulate 1-4

Answer 12

Through any three noncolliner points there is exactly one plane.

(pg. 15)

Question 13

Ruler Postulate

Answer 13

Every point on a line can be paired with a real number. The real number that corresponds to a point is called the coordinate of that point.

(pg. 20)

Question 14

Segment Addition Postulate

Answer 14

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

(pg. 21)

Question 15

Congruent Segments

Answer 15

If segments have the same length they are congruent.

pg. 22

Question 16

Congruent

Answer 16

Angles or figures that have the same size and shape.

Question 17

(Segment) Midpoint

Answer 17

A midpoint of a segment is the point that divides the segment into two congruent segments.

(pg. 22)

Question 18

(Segment) Bisector

Answer 18

A point, line, ray or segment that intersects a segment at it’s midpoint.

(pg. 22)

Question 19

Angle

Answer 19

An angle is formed by two rays that start at a common endpoint.

(pg. 27)

Question 20

Vertex

Answer 20

The common endpoint of the two rays that make up an angle.

pg. 27

Question 21

Naming Angles

Answer 21

(pg. 27)

By it’s vertex (Angle A), a point on each ray and the vertex (Angle BAC or Angle CAB), a number (Angle 1)

Question 22

Acute Angle

Answer 22

0 < angle < 90

pg. 29

Question 23

Right Angle

Answer 23

angle = 90

pg. 29

Question 24

Obtuse Angle

Answer 24

90 < angle < 180

pg. 29

Question 25

Straight Angle

Answer 25

(pg. 29) angle = 180

Question 26

Congruent Angle

Answer 26

Angles with the same measure. | pg. 29

Question 27

Angle Addition Postulate

Answer 27

If point B is in the interior of angle AOC then m angle AOB + m angle BOC = m angle AOC. (pg. 30)

Question 28

Adjacent Angles

Answer 28

Two coplanar angles with a common side, a common vertex, and NO common interior points (pg. 34)

Question 29

Vertical Angles

Answer 29

Two angles whose sides are opposite rays. | pg. 34

Question 30

Complementary Angles

Answer 30

Two angles whose measures have a sum of 90. Each angle is called the compliment of the other. (pg. 34)

Question 31

Supplementary Angles

Answer 31

"(pg. 34) Two angles whose measures have a sum of 180. Each angle is called the supplement of the other."

Question 32

Linear Pair Postulate

Answer 32

"(pg. 36) If two angles form a linear pair then they are supplementary."

Question 33

Perpendicular Lines

Answer 33

Two lines that intersect to form right angles. | pg. 44

Question 34

Perpendicular Bisector

Answer 34

Of a segment is a line segment or ray that is perpendicular to the segment at it's midpoint. (pg. 44)

Question 35

Midpoint (Line)

Answer 35

The coordinate of the midpoint is the average or mean of the coordinate of the endpoints. (pg. 50)

Question 36

Midpoint (Plane)

Answer 36

The coordinate of the midpoint is the average or mean of the coordinate of the endpoints. (pg. 50)

Question 37

Midpoint (Plane)

Answer 37

The coordinate of the midpoint is the average or mean of the coordinate of the endpoints. Point is average of x-coordiantes and average of y-coordinates. (pg. 50)

Question 38

Midpoint (Formula)

Answer 38

M = (x1 + x2)/2 and (y1 + y2)/2 for points in plane, and (a + b)/2 for points on a nunmber line. HINT; x & y coordiantes are on the number line of the x-axis and y-axis (pg. 50)

Question 39

Distance Formula

Answer 39

d = sqrt [(x2 - x1)^2 + (y2 - y1)^2] | pg. 52

Question 40

Perimeter

Answer 40

P of all polygons is the sum of the side lengths. | pg. 59

Question 41

Area

Answer 41

A is the number of square unit enclosed by a polygon. | pg. 59

Question 42

Square

Answer 42

If side length = s, P = 4S, & A = s^2 | pg. 59

Question 43

Triangle

Answer 43

If side length = a, b, & c with a base of b & height of h then P = a + b + c and A = (1/2)bh (pg. 59)

Question 44

Rectangle

Answer 44

If side lengths are b & h then P = 2b + 2h or 2(b + h) and A = bh (pg. 59)

Question 45

Circle

Answer 45

radius = r and diameter = d (or 2r) then C = (pi)d or 2(pi)r and A = (pi)r^2 (pg. 59)

Question 46

Circumference

Answer 46

C is the Perimeter of a circle. | pg. 59

Question 47

Area Addition Postulate

Answer 47

The area of a region is the sum of the areas of its nonoverlapping parts. (pg. 63)