Chapter 4, Problem 15PT

To determine

The postulate or theorem that can be used to prove the triangles congruent.

Answer to Problem 15PT

Not possible.

Explanation of Solution

Given:

The given figure is:

  

Calculation:

The figure can be drawn as:

  

It is given that,

  $\begin{array}{l}\overline{\mathrm{A}\mathrm{D}}\cong \overline{\mathrm{A}\mathrm{B}}\\ \overline{\mathrm{C}\mathrm{B}}\cong \overline{\mathrm{C}\mathrm{D}}\end{array}$

According to the reflexive property,

  $\overline{\mathrm{B}\mathrm{D}}\cong \overline{\mathrm{B}\mathrm{D}}$

Therefore, the triangles cannot be proved congruent because of lack of information.