Which statements are true?Select each correct answer.ResponsesAll triangles have 3 sides that are equal in length.All triangles have 3 sides that are equal in length.Only some triangles have 1 right angle.Only some triangles have 1 right angle.All triangles are polygons.All triangles are polygons.All triangles have 3 angles.All triangles have 3 angles.All triangles are open figures.
Question
Which statements are true?Select each correct answer.ResponsesAll triangles have 3 sides that are equal in length.All triangles have 3 sides that are equal in length.Only some triangles have 1 right angle.Only some triangles have 1 right angle.All triangles are polygons.All triangles are polygons.All triangles have 3 angles.All triangles have 3 angles.All triangles are open figures.
Solution
Vamos a analizar cada una de las afirmaciones para determinar cuáles son verdaderas:
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"All triangles have 3 sides that are equal in length."
- Esta afirmación es falsa. No todos los triángulos tienen tres lados de igual longitud. Solo los triángulos equiláteros tienen esta característica.
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"Only some triangles have 1 right angle."
- Esta afirmación es verdadera. Solo algunos triángulos, específicamente los triángulos rectángulos, tienen un ángulo recto (de 90 grados).
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"All triangles are polygons."
- Esta afirmación es verdadera. Todos los triángulos son polígonos porque son figuras cerradas con tres lados.
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"All triangles have 3 angles."
- Esta afirmación es verdadera. Todos los triángulos tienen tres ángulos.
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"All triangles are open figures."
- Esta afirmación es falsa. Todos los triángulos son figuras cerradas, no abiertas.
Por lo tanto, las afirmaciones verdaderas son:
- "Only some triangles have 1 right angle."
- "All triangles are polygons."
- "All triangles have 3 angles."
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