1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
RUDIKE [14]
3 years ago
8

In geometry, how do defined terms and undefined terms relate to each other?

Mathematics
1 answer:
mart [117]3 years ago
8 0
In geometry, definitions are formed using known words or terms to describe a new word. There are three words in geometry that are not formally defined. These three undefined terms are point, line and plane. 

<span>POINT (an undefined term) </span>
<span>In geometry, a point has no dimension (actual size). Even though we represent a point with a dot, the point has no length, width, or thickness. A point is usually named with a capital letter. In the coordinate plane, a point is named by an ordered pair, (x,y). </span>

<span>LINE (an undefined term) </span>
<span>In geometry, a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends without end in two directions. A line is named by a single lowercase written letter or by two points on the line with an arrow drawn above them. </span>

<span>PLANE (an undefined term) </span>
<span>In geometry, a plane has no thickness but extends indefinitely in all directions. Planes are usually represented by a shape that looks like a tabletop or wall. Even though the diagram of a plane has edges, you must remember that the plane has no boundaries. A plane is named by a single letter (plane m) or by three non-collinear points (plane ABC). </span>

<span>Undefined terms can be combined to define other terms. Noncollinear points, for example, are points that do not lie on the same line. A line segment is the portion of a line that includes two particular points and all points that lie between them, while a ray is the portion of a line that includes a particular point, called the end point, and all points extending infinitely to one side of the end point. </span>

<span>Defined terms can be combined with each other and with undefined terms to define still more terms. An angle, for example, is a combination of two different rays or line segments that share a single end point. Similarly, a triangle is composed of three noncollinear points and the line segments that lie between them. </span>

<span>Everything else builds on these and adds more information to this base. Those added things include all the theorems and other "defined" terms like parallelogram or acute angle. </span>
You might be interested in
A bag contains 5 white marbles and 5 blue marbles. You randomly select one marble from the bag and put it back. Then, you random
Leokris [45]

Answer:

Event A = white marble is selected

Event B = blue marble is selected

P(A) = 5/10 = 1/2

p(B) = 5/10 = 1/2

Probability that A and B are independent events is:

P(A∩B) = 1/2 × 1/2

Answer: 1/4

5 0
3 years ago
Read 2 more answers
21 and 22 are complementary angles. The measure of Z1 is 45 The measure of Z2 is 3x°. Find the value of x. The figure is not dra
Alex

9514 1404 393

Answer:

  x = 15

Step-by-step explanation:

<u>Given</u>:

  ∠1 + ∠2 = 90°

  ∠1 = 45°

  ∠2 = 3x°

<u>Find</u>:

  x

<u>Solution</u>:

  Using the given values in the given equation, we have ...

  45° +3x° = 90°

  15 + x = 30 . . . . . . divide by 3°

  x = 15 . . . . . . . . . . . subtract 15

6 0
2 years ago
2. Find the volume for the rectangular prism.<br> 8 m<br> 4 m<br> 7 1/4 m
BlackZzzverrR [31]
V= 232 m (8x4x7.25) 232 is the volume
5 0
3 years ago
Solve showing all work and simplify completely:<br> 9/18 + 1/3
ss7ja [257]

Answer:

5/6

Step-by-step explanation:

9/18 + 1/3 <Need the same denominator so find the lowest common multiple.

3 6 9 12 15 18 < multiples of 3

if 3 goes into 18 than it will be our LCM

3 goes into 18 6 times so multiply 1 and 3 by 6 and rewrite the equation

9/18 + 6/18 < just add 9 + 6 and place it over 18

15/18 <this number can be simplified so write out their factors and pick the highest one to divide by one they have in common.

1 3 5 15 <Factors of 15

1 2 3 6 9 18 <Factors of 18

3 is the highest one they both have so divide both 15 and 18  by 3

15/3 is 5 and 18/3 is 6

put the 5 and 6 in their proper places and you have 5/6 or .83333333333...

6 0
3 years ago
21 divided by x = -7 Can you PLS SOLVE X
VikaD [51]

Answer:

EASY. x=-3

Step-by-step explanation:

You need to divide 21 by -7. You'll get the same answer as me

Hope this helped!!

8 0
3 years ago
Other questions:
  • Which of the next equations are linear:
    7·1 answer
  • Alex's wardrobe is 2 yards tall. How tall is the wardrobe in feet?<br> feet
    6·1 answer
  • Two ways to estimate 12÷478
    14·1 answer
  • 5,286÷3 how many digits will the classroom number have
    5·1 answer
  • Kylie can afford a $1310-per-month house loan payment. If she is being
    15·1 answer
  • The width of a rectangle is 2 inches smaller than its length. The perimeter is 24 inches. Find the length and width of the recta
    6·1 answer
  • Help fast<br>which of the following pairs of function are inverses of each other?<br><br>no links​
    9·1 answer
  • Guys help me I really need your help​
    6·1 answer
  • Help me plssssssssssss
    12·1 answer
  • Complete the sequence.<br>1/2,3/5,5/8,7/11, ___ , ____<br>(will mark brainliest)​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!