Chapter 4, Problem 1CT

To determine

To complete: the blanks in the given statement.

Answer to Problem 1CT

$\overline{PT}$ ; $\Delta DBA$

Explanation of Solution

Given information:

The given statement is “If $\Delta BAD\cong \Delta TOP$ , then $\overline{DB}\cong$

$\underset{\_}{}$ and $\Delta PTO\cong$

  $\underset{\_}{}$ ”.

It is given that $\Delta BAD\cong \Delta TOP$ .

When two triangles are congruent, then corresponding sides and corresponding angles are

equal.

That is

  $\begin{array}{l}\angle B\cong \angle T\\ \angle A\cong \angle O\\ \angle D\cong \angle P\end{array}$

and

  $\begin{array}{l}\overline{DB}\cong \overline{PT}\\ \overline{BA}\cong \overline{TO}\\ \overline{AD}\cong \overline{OP}\end{array}$

Hence,

$\overline{DB}\cong \overline{PT}$ and $\Delta PTO\cong \Delta DBA$ .