Question

practice 6 (from unit 2, lesson 11)
figure abcd is a parallelogram.
is triangle adb congruent to triangle cbd?
a yes, the triangles are congruent.
b no, the triangles are not congruent.
c there is not enough information to determine that the triangles are congruent.
show or explain your reasoning.

Explanation:

Step1: Dato de congruencia

En un paralelogramo, \(AB = CD = 38\) (dado \(AB\cong CD\)).

Step2: Ángulo dado

\(\angle ADB\cong\angle CBD\) (dado).

Step3: Lado común

\(BD = BD\) (lado común a ambos triángulos).

Step4: Criterio de congruencia

Por el criterio \(SAS\) (lado - ángulo - lado), \(\triangle ADB\cong\triangle CBD\).

Answer:

A. Yes, the triangles are congruent.