Chapter 14.2, Problem 3MC

To determine

a.

To prove:

$A^{\prime }$ is the reflection of $A$ in $\overleftrightarrow{MN}$.

To determine

b.

To prove:

$A^{\prime }$ is the reflection of $C$ in $\overleftrightarrow{MD}$ and also the reflection of $B$ in $\overleftrightarrow{NE}$.

To determine

c.

To prove:

$\angle M{A}^{\prime }N\cong \angle A$, $\angle M{A}^{\prime }C\cong \angle C$ and $\angle N{A}^{\prime }E\cong \angle B$.

To determine

d.

To prove:

The properties of angles of a triangle that follows from part(c).