Question

thomas is asked by mr. park, his geometry teacher, to transform quadrilateral abcd to make quadrilateral abcd.
mr. park asked the class: \are quadrilaterals abcd and abcd congruent? why or why not?\
select the correct answer and justification.
a. no, they are not congruent. abcd was translated to form abcd.
b. yes, they are congruent. abcd was translated to form abcd.
c. no, they are not congruent. abcd was reflected to form abcd.
d. yes, they are congruent. abcd was reflected to form abcd.

Explanation:

Las figuras congruentes son aquellas que tienen la misma forma y tamaño. Una traslación es una transformación que desliza una figura en el plano sin girarla ni reflejarla, por lo que mantiene la forma y el tamaño de la figura original. En este caso, el cuadrilátero \(A'B'C'D'\) se obtiene traslacionando el cuadrilátero \(ABCD\), por lo que deben ser congruentes.

Answer:

B. Yes, they are congruent. ABCD was translated to form \(A'B'C'D'\).