Relación entre rectas

¿Qué es una recta?
Es una línea de puntos, sin curvas ni ángulos, que no tiene principio ni fin. Es cada una de las dos partes en que un punto divide una recta. Se nombra usando una letra minúscula.[br][br][img]https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcTMp0zAssb1VfFYfRtq_7bRElry0CmAORUfmg&usqp=CAU[/img]
Relaciones entre dos rectas
Demostración indirecta
Cuando no es posible o es difícil, utilizando el método directo para probar un teorema se utiliza el método indirecto o demostración por reducción al absurdo.
Demostración del paralelismo de rectas
Complete la demostración geométrica.[br][br][img]data:image/png;base64,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[/img]
Test de práctica.
observa la gráfica y responde con la opción correcta.[br][img]https://elbibliote.com/libro-pedia/manual_matematica/wp-content/uploads/2020/07/Captura-21.jpg[/img]
Observe la gráfica y señale la opción correcta.[br][br][img]https://www.geometriaanalitica.info/wp-content/uploads/2020/08/angulo-rectas-secantes.jpg[/img]
Observe la gráfica y señale la opción correcta.[br][img]https://www.superprof.es/apuntes/wp-content/uploads/2019/07/rectas-perpendiculares.gif[/img]

Los ángulos y sus relaciones

Definición.
Definiendo a un ángulo como la unión de dos segmentos de recta [br]que comparten un punto extremo común, que, para nuestro estudio [br]los segmentos de rectas serían los radios de la circunferencia
En trigonometría, ángulo es la amplitud de rotación que describe [br]un segmento de recta en torno a uno de sus extremos.[br][img]https://cdn.geogebra.org/resource/epecy32b/8oj270HxnloaxFuG/material-epecy32b.png[/img]
Tipos de Ángulos

Referencias Bibliográficas.

Referencias Bibliográficas.
[br] Alexander, D. y. (2013).[i]Geometría.[/i] Cengage Learning Editores, S.A. de C.V.[br][br] Bustillos, H. (03 de 12 de 2020). [i]Sistemas de Conocimiento de Geometría y su Didáctica[/i]. Obtenido de Guía didáctica: file:///C:/Users/user1/Documents/materias%20de%20la%20UTPL/5to%20ciclo/sistema%20de%20conoc%20de%20geometria/Gu%C3%ADa%20did%C3%A1ctica.pdf[br][br] Carreón, D. (07 de 02 de 2022). [i]CLASIFICANDO ÁNGULOS ENTRE RECTAS PARALELAS Y UNA SECANTE[/i]. Obtenido de YouTube.(VIDEO): https://www.google.com/search?q=angulos+alternos+internos+y+externos+alternos&source=lmns&tbm=vid&bih=591&biw=500&hl=es-419&sa=X&ved=2ahUKEwiz3fGP8oqCAxWqF2IAHbgwA5IQ_AUoAnoECAEQAg#fpstate=ive&vld=cid:9cb7f60a,vid:IXiIYcOmznM,st:0[br][br] Escorcia, c. (02 de 01 de 2019). [i]Relación entre rectas[/i]. Obtenido de YouTube (VIDEO).: https://www.youtube.com/watch?v=hgwumvsaPas[br][br]

Information