<video><caption><image_0>The image shows a man standing in front of a green chalkboard with writing on it. He is wearing a blue t-shirt and glasses and appears to be giving a presentation. The writing on the chalkboard is written in white chalk and is in Spanish. The man is gesturing with his hands as he speaks. The background is blurred, but it seems like he is in a classroom or a lecture hall.</caption><caption><image_1>The image shows a man standing in front of a green chalkboard. He is wearing a blue t-shirt and glasses and appears to be in a classroom or lecture hall. The chalkboard has some text written on it in white chalk. The man is gesturing with his hands as if he is explaining something. He has a serious expression on his face and is looking directly at the camera.</caption><caption><image_2>The image shows a man standing in front of a green chalkboard. He is wearing a blue t-shirt and glasses and appears to be giving a presentation. The chalkboard has some text written on it in white chalk. The text on the chalkboard is in German and translates to "What is a mathematical equation?" The man is gesturing with his hands as he speaks.</caption></video><transcript><audio_3> Olá a todos, bem-vindos a mais uma aula de geometria. E nessa aula a gente vai continuar a fazer construções elementares para mais tarde a gente poder trabalhar com problemas mais interessantes sobre construções e também para ajudar a gente aí no...</transcript><transcript><audio_4> geometria plana que a gente está estudando durante esse tempo todo. O nosso problema agora vai ser o seguinte. Dada uma reta, encontrar uma reta perpendicular a essa reta passando por um ponto. Você sabe que 2x2</transcript><caption><image_5>The image shows a man standing in front of a green chalkboard with writing on it. He is wearing a blue t-shirt and glasses and appears to be giving a presentation or lecture. The writing on the chalkboard is in white chalk and is written in Spanish. The man is gesturing with his right hand as he speaks. He has a serious expression on his face and is looking directly at the camera.</caption><caption><image_6>The image shows a man standing in front of a green chalkboard. He is wearing a blue t-shirt and glasses and appears to be giving a presentation or lecture. The chalkboard has white chalk writing on it, which is likely related to mathematics or physics. The man is gesturing with his hands as he speaks.</caption><transcript><audio_7> uma reta. Isso é a noção comum que a gente tem trabalhado desde o começo. Mas, na verdade, se você souber a direção de uma reta e um ponto por onde ela passa, você tem que ser capaz também de construir essa reta. E uma maneira de você</transcript><transcript><audio_8> perpendicular a ela. Então, assim, essa reta que eu estou buscando é uma reta única, porque é a reta que tem a direção perpendicular à reta R e passa pelo ponto P. Certo?</transcript><transcript><audio_9> conseguir essa construção. Bom, a gente viu na aula passada, a última construção, a construção 3 que a gente fez, me ajuda a traçar retas perpendiculares. Por quê? A mediatriz que eu construí, ela é uma</transcript> Hello everyone, welcome to another geometry class and in this class we will continue to do elementary constructions so that later we can work on more interesting problems about constructions and also to help us in our knowledge  of the plane geometry that we have been studying all this time, okay, our problem now will be the following, given a straight line, given a straight line, find a line perpendicular to this line passing through a point, okay, you, you know that  eh, two points determine a straight line, that is the common notion that we have been working on since the beginning, but in fact, if you know the direction of a straight line and a point through which it passes, you must also be able to construct that straight line. OK, and one way to give the direction of the straight line is by giving a straight line that is perpendicular to it, okay, so this straight line that I'm looking for is a unique straight line because it's the straight line that has the direction perpendicular to the straight line r and passes through the point P, right?  let's see how we do it to get this construction, well, we saw it. In the last class, the last construction, the three construction that we did, helps me to draw perpendicular lines because the perpendicular bisector that I constructed is a  straight line
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