Are Alternate Exterior Angles Always Congruent: Understanding the Relationship Between Alternate Exterior Angles
by Evelyn Montgomery2024-09-22
In the world of geometry, alternate exterior angles play a significant role, particularly when dealing with parallel lines and a transversal. When two parallel lines are intersected by a transversal, several pairs of angles are formed, and among these, the alternate exterior angles are created. To explore whether these angles are always congruent, we must first define what alternate exterior angles are. Alternate exterior angles are the pairs of angles that lie outside the two parallel lines and on opposite sides of the transversal. For example, if lines A and B are parallel and line C is a transversal, the angles formed outside the intersections on opposite sides of line C are the alternate exterior angles. The intriguing aspect of alternate exterior angles is their relationship when the lines are indeed parallel. According to the Alternate Exterior Angles Theorem, if two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent. This means that their measures are equal. For instance, if angle 1 and angle 2 are alternate exterior angles formed by parallel lines A and B and transversal C, then the measure of angle 1 is equal to the measure of angle 2. This property is significant in proving various geometric properties and solving problems related to angles. However, it is crucial to emphasize that this congruence holds true only when the lines are parallel. If the lines are not parallel, the alternate exterior angles are not guaranteed to be congruent. In fact, they can have different measures depending on the angles formed by the transversal with the non-parallel lines. In summary, alternate exterior angles are always congruent when the lines they are associated with are parallel. This property is a fundamental concept in geometry and provides a basis for understanding angle relationships in more complex geometric figures. So, the next time you encounter alternate exterior angles, remember their congruence is contingent upon the parallel nature of the lines involved!
Tips 1:
To master the concept of alternate exterior angles, practice identifying them in various geometric diagrams. This will strengthen your understanding and ability to apply the theorem effectively.
We use cookies and similar tools to bring you a smooth and convenient experience on our site. To learn more about how we use cookies, view our Statement on Cookies here.
Coohom Cookie Notice
Along with
User Agreement
and
Privacy Policy
provided by Coohom Inc. and its affiliates (“we”, “us” or
“Coohom
Group”), this Notice provides you (or “user”) with information
about the
cookies that are used by the features and services of Coohom official website or Coohom Platform
(“Coohom
Platform”). This Notice will be reviewed from time to time to ensure that its
content is
kept
up-to-date. If any changes are made, we will publish the latest version of the Notice here. When
we make
significant changes, we will notify you of the change the next time you visit Coohom Platform or
by
other
means of communication.
A. What is cookie & Why do we use cookies
When you visit Coohom Platform, the site asks your browser to store a small piece of data (text
file)
called
a cookie on your device in order to evaluate the performance of the site. We also use
third-party
cookies,
which are cookies from a domain different than the domain of Coohom Platform you are visiting,
for
marketing
efforts.
B. What kind of cookies do we use
We use the following categories of cookies:
1. Strictly necessary cookies
Strictly necessary cookies are necessary for Coohom Platform to function and cannot be switched
off in
our
systems. They are usually only set in response to actions made by you which amount to a request
for
services, such as setting your privacy preferences, logging in or filling in forms. You can set
your
browser
to block or alert you about these cookies, but that will cause some parts of Coohom Platform to
not
work.
2. Performance cookies
Performance cookies allow us to count visits and traffic sources so we can measure and improve
the
performance of our site.They help us to know which pages are the most and least popular and see
how
visitors
move around the site.If you do not allow these cookies we will not know when you have visited
our site
and
will not be able to monitor its performance.
3. Marketing cookies
We also cooperate with third - parties that deploy cookies when users interact with marketing
communications.Marketing cookies collect personal information such as your IP address and
clicks.Collected
information is used to evaluate the effectiveness of our marketing campaigns or to provide
better
targeting
for marketing.We do not always have control over those cookies.
C. What cookies do we use
Categories
Names of cookies
Functions
Strictly necessary cookies
qunhe-jwt
Remembers your login status: user id, name, email, avatar, character, region
qunhe-refresh
Refresh your permissions: user id, name, email, avatar, character, region
showroom-jwt
Remembers your user id, email, company, and status
qh-locale
Stores your language preferences
qh-cm-fe-locale
Stores your language preferences
Performance cookies
ktrackerid
Monitors abnormal conditions during your visit
ktrackertime
Monitors abnormal conditions during your visit
Marketing cookies
qhdi
Recognises website visitors(anonymously- no personal information is
collected
on
the user)
hubspotutk
Identifies your session
rdt_uuid
Identifies which web page you came from
hssrc
Identifies which web page you came from
hstc
Identifies which web page you came from
cio
Identifies which web page you came from
cioid
Identifies which web page you came from
fbd
Identifies which web page you came from
ajs_anonymous_id
Identifies which web page you came from
ajs_user_id
Identifies which web page you came from
messagesUtk
Identifies which web page you came from
D. How do I control and delete cookies
1. Cookie settings
The "Cookie Settings" can be
utilized
to customize
your
cookie preferences. The "Cookie Settings" will record when you have consented to or rejected our
Notice
and
will ask for consent once a year to ensure users stay up-to-date with changes to our Notice. All
the
performance cookies and marketing cookies are controlled by the "Cookie Settings". You can also
access
the
“Cookie Settings” anytime from the link in the footer of Coohom Platform.
2. Using your browser
All of the cookies used on Coohom Platform, on third-party websites and through emails can be
enabled or
disabled through your browser. To control cookies through your browser, follow the instructions
usually
located within the “Help”, “Tools” or “Edit” menus in your browser. Please note that disabling a
cookie
or
category of cookies does not delete the cookie from your browser unless manually completed
through your
browser function.
3. Cookies set in the past
Your data collected from cookies can be deleted. If cookies are deleted, the information
collected prior
to
the preference change may still be used. However, we will stop using the disabled cookie to
collect any
further information from your user experience. For marketing cookies, when a user opts out of
tracking,
a
new cookie is placed to prevent users from being tracked.
4. Impact on the use
You can set your browser to block strictly necessary cookies, but that will cause some parts of
Coohom
Platform to not work.
You can accept or refuse the use of performance cookies or marketing cookies at any time. If you
choose
to
reject the use of performance cookies or marketing cookies, you will still be able to use Coohom
Platform,
and your use of all the features and areas of Coohom Platform will not be limited.
E. How often do we update this Notice
We may update this Notice from time to time or for other operational, legal or regulatory reasons
to make
changes in the cookies we use. Therefore, please re-read this Notice periodically to learn about
our use
of
cookies and related technologies. The date at the top of this Notice indicates when it was last
updated.
F. Where can I get further information
If you have any questions about our use of cookies, please feel free to contact us via email at
support@coohom.com.
We will respond to your questions, comments or suggestions within 30 days after we receive them
and
verify
your user identity.
