Your friend tells you that, reflecting, a figure will make the figures angle smaller, so it is no longer congruent to the original figure. Is this true? Why why not in four sentences explain your answer, and describe an example that would verify your claim.

No, this statement is not true. Reflecting a figure does not change the angles of the figure, it only changes their orientation. Congruent figures have the same shape and size, including their angles. For example, consider a square. If we reflect the square across a line of symmetry, the resulting figure will still have 90-degree angles and will be congruent to the original square.