can a translation and a reflection map △qrs to △tuv? explain why or why not. no, the triangles are not…

can a translation and a reflection map △qrs to △tuv? explain why or why not. no, the triangles are not congruent. yes, a translation mapping vertex q to vertex t and a reflection across the line containing qs will map △qrs to △tuv. no, the triangles are obtuse. yes, a translation mapping vertex s to vertex t and a reflection across the line containing rs will map △qrs to △tuv.

can a translation and a reflection map △qrs to △tuv? explain why or why not. no, the triangles are not congruent. yes, a translation mapping vertex q to vertex t and a reflection across the line containing qs will map △qrs to △tuv. no, the triangles are obtuse. yes, a translation mapping vertex s to vertex t and a reflection across the line containing rs will map △qrs to △tuv.

Answer

Explanation:

Step1: Comprobar congruencia

Observamos que los triángulos parecen tener lados y ángulos correspondientes iguales, lo que implica congruencia.

Step2: Analizar transformaciones

Una traducción que mapea un vértice (por ejemplo, Q a T) y una reflexión adecuada (en este caso, across the line containing $\overline{QS}$) pueden superponer los triángulos.

Answer:

Yes, a translation mapping vertex Q to vertex T and a reflection across the line containing $\overline{QS}$ will map $\triangle QRS$ to $\triangle TUV$.