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What Stays the Same Under a Transformation — Mixed

Answer each question about the transformation.

ExampleABC was mapped onto A′B′C′ by a reflection across the x-axis. AB is 3 units. How long is A′B′? → 3 units — a reflection keeps every length and angle; only the position changes.
  1. 1.xy−7−7−6−6−5−5−4−4−3−3−2−2−1−111223344556677ABCA′B′C′
    ABC was mapped onto A′B′C′ by a 180° rotation about the origin. Side AB is 2 units long. How long is A′B′, and what else stays the same?
    A′B′ =
    Also the same:
  2. 2.xy−8−8−6−6−4−4−2−222446688ABCA′B′C′
    ABC was mapped onto A′B′C′ by a translation 5 right and 4 down. Side AB is 2 units long. How long is A′B′, and what else stays the same?
    A′B′ =
    Also the same:
  3. 3.xy−7−7−6−6−5−5−4−4−3−3−2−2−1−111223344556677ABCA′B′C′
    ABC was mapped onto A′B′C′ by a reflection across the y-axis. Side AB is 2 units long. How long is A′B′, and what else stays the same?
    A′B′ =
    Also the same:
  4. 4.xy−7−7−6−6−5−5−4−4−3−3−2−2−1−111223344556677ABCA′B′C′
    ABC was mapped onto A′B′C′ by a 90° counterclockwise rotation about the origin. Side AB is 2 units long. How long is A′B′, and what else stays the same?
    A′B′ =
    Also the same:
  5. 5.xy−7−7−6−6−5−5−4−4−3−3−2−2−1−111223344556677ABCA′B′C′
    ABC was mapped onto A′B′C′ by a reflection across the x-axis. Side AB is 2 units long. How long is A′B′, and what else stays the same?
    A′B′ =
    Also the same: