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Home > CCGS > Chapter 6 > Lesson 6.2.4 > Problem 6-83

6-83.

Para cada uno de los siguientes pares determina si los triángulos son o no congruentes. Justifica tu conclusión con una condición de congruencia de triángulos. Luego elige un par de triángulos congruentes y muestra tu razonamiento con un diagrama de flujo.  

  1. 2 right triangles, arranged so first triangle has right angle at bottom left, second triangle is slanted, so short leg is part of hypotenuse of first triangle, with right angle vertex shared with first triangle top vertex, & second's long leg is slanted up & right, long leg of each triangle, is labeled 8, short leg of second triangle is labeled 6, difference of first's hypotenuse & second's short leg, is labeled 4.

    Halla las longitudes faltanes de los lados usando el teorema de Pitágoras.

    Congruente por , y .

  1. Two triangles, each with one side marked with one tick mark, one angle marked with one tick mark, and the angle opposite the side with 1 tick mark, marked with two tick marks.

    ¿Qué significan las marcas en los ángulos y los lados?

  1. Two triangles connected together on one side. Another side on each has two tick marks. Both triangles have an angle with 1 tick mark. In the first triangle, this angle is opposite the shared side. In the second triangle, this angle is opposite the side with a double tick mark.

    ¿Demuestran las marcas que los ángulos son congruentes o se necesita más información?

    No son necesariamente congruentes. No existe la congruencia .

  1. Quadrilateral, left & right sides each has 1 tick mark, with diagonal from top left to bottom right vertices, creating 2 triangles, top left angle of triangle on left, & bottom right angle of triangle on right, each has 1 tick mark.

    ¿Ayuda a demostrar que son congruentes el hecho de que compartan un lado?

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