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BartSMP [9]
3 years ago
15

The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requir

es the undefined terms of line and point. What characteristics of these geometric figures create the different requirements?
Mathematics
2 answers:
Tomtit [17]3 years ago
4 0
Point, line, and plane are the undefined expression that relinquish the starting location for geometry. When we define words, we ordinarily use simpler words, and these simpler words are in turn defined using yet simpler words. This procedure must eventually abort; at some stage, the definition must use a word whose meaning is accepted as intuitively clear. Because that meaning is accepted without definition, we refer to these words as undefined terms. These terms will be used in defining other terms. Although these expressions are not formally defined, a brief intuitive dialogue is needed.   A point is the most fundamental object in geometry. It is represented by a dot and named by a capital letter. A point constitute position only.   A line (straight line) can be thought of as a connected set of infinitely many points. It extends infinitely far in two opposite directions. A line has boundless length, zero width, and zero height. Any two points on the line name it. The symbol ↔ written on top of two letters is used to denote that line.   <span>A plane may be contemplating as an infinite set of points creating a connected flat surface extending infinitely far in all directions. It is usually represented in drawings by a four‐sided figure. A single capital letter is used to designate a plane.</span>
lakkis [162]3 years ago
3 0

Answer:

Parallel lines do not intersect.

Parallel lines must be coplanar.

Perpendicular lines intersect at one point.

Perpendicular lines intersect  so plane is not required in the definition.

Step-by-step explanation:

You might be interested in
How many numbers greater than zero and less than 50 equal the product of two consecutive positive integers?
spin [16.1K]
Consecutive numbers would be like 2 and 3, or 7 and 8.

All we need to do is keep multiplying pairs of consecutive numbers until we get above 50.

1 × 2 = 2 (that's one.)
2 × 3 = 6 (two)
3 × 4 = 12 (three)
4 × 5 = 20 (four)
5 × 6 = 30 (five)
6 × 7 = 42 (six...)
<em>7 × 8 = 56 > 50</em>
We have a total of 6 numbers that equal the product of 2 consecutive intergers<em>

</em>
7 0
3 years ago
What are all that apply?​
Nostrana [21]

height or altitude for a parallelogram means the perpendicular distance from one parallel side to the other.  Check the picture below.

7 0
2 years ago
I have two fair dice each numbered 1 to 6 I throw both dice and add the two numbers together. What is the probability that the n
liraira [26]

Answer:

7 / 36

Step-by-step explanation:

Using the sample space attached,

Required outcome = multiple of 5 from the sun of two rolled dice = 7

Total possible outcomes =(number of faces)² = 6² = 36

Therefore, the probability of obtaining a sum which is a multiple of 5 is :

P(sum which is a multiple of 5) :

Required outcome / Total possible outcomes

= 7 / 36

8 0
2 years ago
Do number 5 pleaseee
swat32

Answer:

A

Step-by-step explanation:

16 × 2 = 32

20 × 2 = 40

hshsjbdjidjeje

6 0
2 years ago
Hey can you please help me posted picture of question :)
scoray [572]
X^2-7x+38=5x+3
x^2-7x+38-5x-3=5x+3-5x-3
x^2-12x+35=0
Factoring:
(x-5)(x-7)=0
Two solutions:
x-5=0→x-5+5=0+5→x=5
x-7=0→x-7+7=0+7→x=7
Answer: x=5 and x=7

Answer: Options B. 7  and D. 5
3 0
3 years ago
Read 2 more answers
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