Pregunta
upstudy study bank question image url

What is required for two triangles to be similar? A. 1. The corresponding angles are congruent 2. The corresponding sides are proportional B. 1. The corresponding angles are congruent 2. The corresponding sides are congruent C. 1. The corresponding angles are proportional 2. The corresponding sides are congruent D. 1. The corresponding angles are proportional 2. The corresponding sides are proportional

Ask by Kelly Garrett. in the United States
Feb 03,2025

Solución de tutoría real

Respuesta verificada por el tutor

Responder

For two triangles to be similar, their corresponding angles must be congruent and their corresponding sides must be proportional.

Solución

For two triangles to be similar, the following conditions must be met: 1. The corresponding angles of the two triangles must be congruent. 2. The corresponding sides of the two triangles must be proportional. This means that the correct answer is: **A. 1. The corresponding angles are congruent 2. The corresponding sides are proportional**. This is known as the Angle-Angle (AA) similarity criterion, which states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar. Additionally, the proportionality of the sides ensures that the triangles maintain the same shape, even if their sizes differ.

Revisado y aprobado por el equipo de tutoría de UpStudy

error msg
Explicar
Simplifique esta solución

Mind Expander

For two triangles to be similar, they must satisfy two key conditions: the corresponding angles must be congruent, and the lengths of their corresponding sides must be in proportion. This means if you were to resize one triangle while keeping its angles the same, the smaller triangle would be like a mini version of the larger one! In real-world applications, understanding triangle similarity can be super helpful in fields like architecture or engineering. If you want to design a building model, for example, using similar triangles allows you to create accurate scale representations that maintain true proportions, ensuring your final structure aligns perfectly with your original vision.

preguntas relacionadas

Latest Geometry Questions

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad