Chapter 12.3, Problem 23E

To determine

To explain:

Thegiven triangle is congruent to $\Delta ABC$ using the congruence theorem.

Answer to Problem 23E

The congruence theorem can be used.

Explanation of Solution

Given:

  $\overline{DE}\cong \overline{AB}$

Concept used:

Two geometric figures are congruent if a rigid motion or a composition of rigid motions maps one of the figures onto other.

Calculation:

Two pairs of corresponding sides of the included angles of those sides are marked congruent.

All point on a circle are the same distance from the center

  $\overline{DE}\cong \overline{AB}$

An angle bisect cuts an angle into two congruent

  $\begin{array}{l}\angle CAB\cong \angle EDF\\ \Delta ABC\end{array}$

Using the compass to adjust the length of $\overline{DF}$ to be equal to $\overline{AB}$ , connecting $\overline{EF}$

Using the compass to copy the lengths of the segments and the measures of the angles.

So, the congruence theorem can be used.