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4 years ago

Which pair of undefined terms is used to define the term parallel lines?

Mathematics

2 answers:

Harrizon [31]4 years ago

5 0

The point and line pair is used to define the term parallel lines.

Further Explanation:

Given:

The options are as follows,

a. point and line.

b. plane and line.

c. point and ray.

d. ray and line.

Explanation:

A point is a location.

A line is the distance between the two points that extends to infinite in both direction.

A ray is defined as the distance between the two points that extends to infinite in one direction.

Plane extends in two dimensions.

The two lines that intersect each other are known as intersecting lines.

The two lines that never intersect each other are known as parallel lines. The distance between the parallel lines remains same.

Therefore we don’t have a intersection point between them.

$\boxed{\text{Option a}}$ is correct.

Hence, the point and line pair is used to define the term parallel lines.

Learn more:

1. Learn more about product of binomial and trinomial brainly.com/question/1394854

2. Learn more about equation of circle brainly.com/question/1506955

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Line and Rays.

Keywords: ray, line, line segment, point, two dimension, plane, parallel lines, intersecting lines, location, distance, undefined, defined, pair, pair of lines, intersection point, never intersect.

Ivan4 years ago

3 0

Answer:

The correct answer for this is : A. Point and Line

Step-by-step explanation:

The lines are said to be parallel to each other if they do not intersect each other at any point. So, for any number of lines to be parallel we must have lines and no intersection points between them then only we can say the given number of lines are parallel to each other

So, the terms which are used to explain the term parallel lines here are : line and the point.

And the both terms point and a line are undefined in the geometry.

Hence, the correct answer for this is : A. Point and Line

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Step-by-step explanation:

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Please show full SOLUTIONS!! I WILL MARK BRAINLIEST FOR THE BEST ANSWER. THANKS

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The orthocentre for the triangle ABC is (1.85, 5.88).

Triangle ABC has vertices at A(2, 8), B(6, 2) and C(-3, 2).

We need to use analytical geometry to determine the coordinates of the orthocentre.

<h3>How to find the orthocentre using analytical geometry?</h3>

Steps to find the orthocentre:

Step 1: First, we will find the slopes of any two sides of the triangle (say AC and AB).

Step 2: Next, we can find the slopes of the corresponding altitudes. Remember that if two lines are perpendicular to each other, they satisfy the following equation.

Step 3: Next, we will use the slope-point form of the equation of a straight line to find the equations of the lines that are coincident with the altitudes BE and AD.

Step 4: Next, we can solve the equations of BE and CF simultaneously to find their solution, which gives us the coordinates of the orthocentre H.

Now, the slope of AC=2-8/-3-2=6/5 and the slope of BE=5/6.

The slope of AB=2-8/6-2=-6/4=-3/2 and the slope of CF=-2/3

The slope of BE=y-2/x-6=5/6

⇒6x-5y-26=0----(1)

The slope of CF=y-2/x+3=-2/3

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By solving (1) and(2), we get

y=26/14=13/7=1.85 and x=5.88

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