![aperson05](/avatars/15215.jpg)
aperson05
24.07.2019 •
Mathematics
How do you know if two line segments are perpendicular? a. the slope of one is the negative of the slope of the other. b. their slopes are reciprocals. c. their slopes are negative reciprocals. d. their slopes are equal.
Solved
Show answers
More tips
- G Goods and services How to Choose a Bread Maker?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
- H Health and Medicine How to Cure Adenoids?...
- H Health and Medicine Why Wearing a Back Brace Can Be Beneficial During Back Strain?...
- S Sport When and Where Will the 2014 World Cup be Held?...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics Five friends went to a baseball game three of the friends each bought a ticket for x dollars and a soda for $6.00 .the other two friends each bought only tickets .write...
- M Mathematics The ratio of two numbers is 2/3. the sum of the numbers is 105. what are the two numbers?...
- M Mathematics 24 of the three dozen bicyclists rode mountain bikes what fraction of the bikers rodemountain bikes...
- M Mathematics What simplified ratio correctly compares 10,000 centimeters to 1000 meters? drag and drop the appropriate numbers into the boxes. : 1 10 100 1000 10,000 100,000...
- M Mathematics What is the value of x in the triangle ?...
- M Mathematics What is the slope of the line on the graph? (-1, -7) (0 ,-1) ( 1 ,5 ) fast...
- M Mathematics Amodel of a building is made using a scale of 1 inch = 20 feet. what is the height of the actual building if the height of the model is 10.5 inches....
- M Mathematics Find the slope of a line that passes through the points r(−2b, 2c) and a(2b, 2c)....
- M Mathematics △mah∼△wcf . what is the value of x?...
- M Mathematics Acircular piece of fabric has a radius of 1.2ft. the fabric sells for $5.40 per ft2. what is the total cost of the circular piece of fabric...
Ответ:
The correct option is
(C) Their slopes are negative reciprocals.
Step-by-step explanation: We are given to select the correct reason for two line segments to be perpendicular.
We know that
If two line segments are perpendicular, then the product of their slopes is - 1.
Let, m and n represents the slopes of two lines that are perpendicular to each other.
Then, we must have
This implies that m is the negative reciprocal of n and n is the negative reciprocal of m.
Thus, the slopes are negative reciprocals.
Option (C) is CORRECT.
Ответ:
If two line segments are perpendicular their slopes are negative reciprocals. Option (C) is correct.
Further explanation:
Given:
The options are as follows,
A. The slope of one is the negative of the slope of the other.
B. Their slopes are reciprocals.
C. Their slopes are negative reciprocals.
D. Their slopes are equal.
Explanation:
Consider the slope of the first line as![{m_1}.](/tpl/images/0127/6450/0ee0d.png)
The slope of the second line is![{m_2}.](/tpl/images/0127/6450/468d3.png)
The product of the slopes of the perpendicular line is![-1.](/tpl/images/0127/6450/e3410.png)
The slopes are negative reciprocals to each other.
If two line segments are perpendicular their slopes are negative reciprocals. Option (C) is correct.
Option (A) is not correct.
Option (B) is not correct.
Option (C) is correct.
Option (D) is not correct.
Learn more:
Learn more about inverse of the function . Learn more about equation of circle . Learn more about range and domain of the functionAnswer details:
Grade: High School
Subject: Mathematics
Chapter: Linear equation
Keywords: line segment, perpendicular, slope, negative slope, reciprocals, slopes are equal, negative reciprocals, graph function, numbers, slope, slope intercept, equation, origin.
Ответ: