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MatematicăMatematică158 views·Updated Jun 16, 2026·1 page

Drepte Paralele – Ghid Simplu și Util

I
Ionela Dumitrescu@ioneladumitresc

Dreptele paralele sunt un concept esențial în geometrie, pe care...

1
of 1
8. Drepte paralele

Def: 2 drepte care nu au niciun punt comun se numesc drepte paralele

| Axioma paralelefon: Printr-un punt exterior unei

Drepte paralele și criterii de paralelism

Două drepte care nu au niciun punct comun se numesc drepte paralele. Conform axiomei paralelelor, printr-un punct exterior unei drepte se poate duce o singură paralelă la dreapta dată.

Când două drepte nu sunt paralele, notăm a∦b, și pot fi în una din următoarele situații:

  • Pot fi secante (concurente), având un punct comun
  • Pot fi confundate (identice), suprapunându-se
  • Pot fi necoplanare, adică nu se află în același plan

💡 Nu confunda dreptele necoplanare cu cele paralele! Dreptele necoplanare nu se intersectează, dar nici nu sunt paralele, deoarece nu se află în același plan.

Putem determina dacă două drepte sunt paralele folosind criteriile de paralelism. Astfel, două drepte tăiate de o secantă sunt paralele dacă formează:

  • O pereche de unghiuri alterne interne congruente
  • O pereche de unghiuri alterne externe congruente
  • O pereche de unghiuri corespondente congruente
  • Unghiuri interne de aceeași parte a secantei care sunt suplementare
  • Unghiuri externe de aceeași parte a secantei care sunt suplementare

Reține că dacă două drepte sunt paralele, atunci ele vor forma aceste tipuri de unghiuri cu orice secantă care le intersectează.

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What is the Knowunity AI companion?

Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.

Where can I download the Knowunity app?

You can download the app in the Google Play Store and in the Apple App Store.

Is Knowunity really free of charge?

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

Most popular content: Euclidean Geometry

2

Most popular content in Matematică

9

Most popular content

9

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.6/5App Store
4.7/5Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan SiOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha KlichAndroid user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

AnnaiOS user

MatematicăMatematică158 views·Updated Jun 16, 2026·1 page

Drepte Paralele – Ghid Simplu și Util

I
Ionela Dumitrescu@ioneladumitresc

Dreptele paralele sunt un concept esențial în geometrie, pe care îl întâlnești mereu în rezolvarea problemelor. Vom explora ce sunt acestea și cum le recunoaștem folosind diverse criterii de paralelism.

1
of 1
8. Drepte paralele

Def: 2 drepte care nu au niciun punt comun se numesc drepte paralele

| Axioma paralelefon: Printr-un punt exterior unei

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Drepte paralele și criterii de paralelism

Două drepte care nu au niciun punct comun se numesc drepte paralele. Conform axiomei paralelelor, printr-un punct exterior unei drepte se poate duce o singură paralelă la dreapta dată.

Când două drepte nu sunt paralele, notăm a∦b, și pot fi în una din următoarele situații:

  • Pot fi secante (concurente), având un punct comun
  • Pot fi confundate (identice), suprapunându-se
  • Pot fi necoplanare, adică nu se află în același plan

💡 Nu confunda dreptele necoplanare cu cele paralele! Dreptele necoplanare nu se intersectează, dar nici nu sunt paralele, deoarece nu se află în același plan.

Putem determina dacă două drepte sunt paralele folosind criteriile de paralelism. Astfel, două drepte tăiate de o secantă sunt paralele dacă formează:

  • O pereche de unghiuri alterne interne congruente
  • O pereche de unghiuri alterne externe congruente
  • O pereche de unghiuri corespondente congruente
  • Unghiuri interne de aceeași parte a secantei care sunt suplementare
  • Unghiuri externe de aceeași parte a secantei care sunt suplementare

Reține că dacă două drepte sunt paralele, atunci ele vor forma aceste tipuri de unghiuri cu orice secantă care le intersectează.

We thought you’d never ask...

What is the Knowunity AI companion?

Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.

Where can I download the Knowunity app?

You can download the app in the Google Play Store and in the Apple App Store.

Is Knowunity really free of charge?

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

Most popular content: Euclidean Geometry

2

Most popular content in Matematică

9

Most popular content

9

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.6/5App Store
4.7/5Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan SiOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha KlichAndroid user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

AnnaiOS user