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When the word MOM is reflected in a vertical line, the image is still MOM. Can you think of the other words that are unchanged when reflected in a vertical line?

Draw a triangle and a line m such that $R_m$ maps the triangle to itself. What kind of triangle did you use?

If you can see the eyes of someone when you look into the mirror, can the other person see your eyes in that same mirror?

Use the transformation $T:\left(x,y\right)→\left(x+1,y+2\right)$ in this exercise.

1. Plot the following points and their images on the chalkboard: $A\left(0,0\right)$, $B\left(3,4\right)$, $C\left(5,1\right)$, and $D\left(-1,-3\right)$.
2. Find $AB$, $A\text{'}B\text{'}$, $CD$, and, $C\text{'}D\text{'}$.
3. Does this transformation appear to be an isometry?
4. What is the pre image of $\left(0,0\right)$? of $\left(4,5\right)$?

Write the coordinates of the image of each point by reflection in,

1. The $x-axis$
2. The $y-axis$
3. The line $y=x$ (Hint: Refer to the Example on page 578)

Point A.