Math lessons 1-4

Question 1

Geometry:

Answer 1

A statement that defines a mathematical object

Question 2

Undefined Term:

Answer 2

A basic mathematical term that is not defined using other mathematical terms.

Question 3

Point:

Answer 3

Names a location and has no size

Question 4

Line:

Answer 4

A straight path that has no thickness and goes for ever.

Question 5

Collinear:

Answer 5

Points that lie on the same line.

Question 6

Non- collinear:

Answer 6

Points that do not lie on the same line

Question 7

Plane:

Answer 7

A flat surface that has no thickness and extends forever

Question 8

Coplanar line:

Answer 8

Lines that lie on the same plain.

Question 9

Non-coplanar Lines:

Answer 9

A line that does not contain points of other lines

Question 10

Intersection:

Answer 10

The point or set of points in which two points meet.

Question 11

Line segment:

Answer 11

Part of a line consisting of two endpoints and all points between them

Question 12

Congruence Statement:

Answer 12

Shows that two segments are congruent

Question 13

Tick Marks:

Answer 13

Placed on diagrams, objects, and shapes to show that lengths are congruent.

Question 14

Postulate:

Answer 14

A segment that is accepted as true without having to explain it.

Question 15

What are the three properties of Congruence?

Answer 15

Reflexive
Symmetric
Transitive

Question 16

Reflexive:

Answer 16

Line AB is congruent to line BA: It’s like a mirror (Reflexive is one line)

Question 17

Symmetric:

Answer 17

If line AB is congruent to Line CD then line CD is congruent to line AB ( Symmetric has two different lines)

Question 18

Transitive:

Answer 18

If Line AB is congurrent to line CD and line CD is congruent to AB then line AB is congruent to EF. (transitive has 3 lines)

Question 19

Distance:

Answer 19

The measure of the segment containing two points.

Question 20

Midpoint:

Answer 20

The point that divides the segments into two congruent parts. Literally the middle point in a line.

Question 21

Ray:

Answer 21

A part of a line that starts at an endpoint and extends infinitely in one direction. –.—–>

Question 22

Angle:

Answer 22

A figure formed by two points with a common endpoint. .<

Question 23

Vertex:

Answer 23

The common endpoint of an angle,

Question 24

Protractor:

Answer 24

A tool used to measure angles

Question 25

Degrees:

Answer 25

What angle measurements are measured in.

Question 26

Acute:

Answer 26

Less than 90*

Question 27

Obtuse:

Answer 27

More than 90* and less than 180*

Question 28

Right:

Answer 28

90*

Question 29

Straight:

Answer 29

180*

Question 30

Bisect:

Answer 30

To divide into congruent parts.

Question 31

Angle Bisector:

Answer 31

A ray that’s divides into an angle

Question 32

Congruent Angles:

Answer 32

angles that have the same measurements

Question 33

Steps to create congruent Angles
6 steps

Answer 33

Angles
1. create an angle
2. create a dot to the side and draw a line
3. Use compass to measure a comfortable length then make an arch.
4. Put arch on the other dot and line
5. Go to angle and measure the intersecting points and create an X, go do it to the other side.
6. wright angle ABC is congruent to angle FDE

Question 34

Steps to creating congruent lines

Answer 34

1. draw one line and create an arch on the top
2. create a dot and measure with a compass how long the other line is then make the dots line that long.
3. Wright line AB is congruent to line CD

Question 35

If two lines intersect, then they intersect at one point.

Answer 35

This is because a curved line is not a line.

Question 36

If there is a line and a point not on the line, then exactly one plant contains them

Answer 36

Theorem 4-2

Question 37

If two lines intersect, there exists exactly one plane that contains them.

Answer 37

Theorme 4-3

Question 38

Ruler Postulate:

Answer 38

The points on a line can be parried in the one-to-one correspondence with the real numbers such that: Any two given points can have the coordinates of 0 and 1

Question 39

Segment Addition Postulate:

Answer 39

If B is between A and C, then AB and BC =AC

Question 40

Protractor Postulate:

Answer 40

The rays formed on the protractor can be paired with real numbers form 0* to 180*

Question 41

The Angle Addition Postulate:

Answer 41

M< ABD+M < DBC= M<ABC

Question 42

Through two points there is exactly one line

Answer 42

there cannot be less than one line

Question 43

Through any 3 noncollinear points there exists one plane

Answer 43

Only one plane cuz there are no lines

Question 44

If two planes intersect then their is what?

Answer 44

A line connecting the two planes

Question 45

A line contains at least 2 points:

Answer 45

A plane contains at least 3 non-collinear points. Space contains at least 4 non-collinear points.