Lessons 8.1 Translations

No, rigid transformation preserves both distance & angle measure.

Yes, since the angles and sides are the same length.

$$\angle F'\ is\ the\ image\ of\ \ \angle F.\ \ \angle H'\ is\ the\ image\ of\ \angle H.$$

$$\angle F'\ is\ the\ image\ of\ \ \angle H.\ \ \angle H'\ is\ the\ image\ of\ \angle F.$$

$$\overline{EF}\ and\ \overline{E'F'}\ \ \overline{FG}\ and\ \overline{F'G'}$$

$$\overline{EF}\ and\ \overline{F'G'}\ \ \overline{FG}\ and\ \overline{E'F'}$$

Translate each x-coordinate 2 units to the left and each y-coordinate 5 units down.

Translate each x-coordinate 2 units to the right and each y-coordinate 5 units up.

$$T_{<8,-2>}\left(x,y\right)=\left(x+8,\ y-2\right)$$

$$T_{<8,2>}\left(x,y\right)=\left(x+8,\ y+2\right)$$

Yes; distances between corresponding pairs of points are equal.

No; distances between corresponding pairs of points are not equal.

Yes; distances between corresponding pairs of points are equal.

No; distances between corresponding pairs of points are not equal.

Translate each x-coordinate 3 units to the right, then each y-coordinate 2 units up.

Translate each x-coordinate 3 units to the left, then each y-coordinate 2 units down.