Question

7 numeric 10 points find the value of the variable c, given that the transformation is an isometry. encuentra el valor de la variable c, dado que la transformación es una isometría. image of two congruent quadrilaterals with sides 12, 8c and 32, d, angles 125°, a°, 42°, 56° answer

Explanation:

Step1: Recall Isometry Property

Isometry (rigid transformation) preserves side lengths. So corresponding sides are equal. The side \(8c\) in the first figure corresponds to side \(32\) in the second figure.

Step2: Set Up Equation

Set \(8c = 32\) (since corresponding sides in isometry are equal).

Step3: Solve for \(c\)

Divide both sides by \(8\): \(c=\frac{32}{8}=4\).

Answer:

\(4\)