Question

PLZ HELP ASAP! WILL GIVE BRAINLIEST!
3. Use rigid motions to explain whether the figures are congruent. ΔABC is the pre-image. ΔA’B’C’ is the image. Be sure to describe specific rigid motions in your explanation.

Hint: There are two transformations represented, in a distinct order.

A specific description of the rigid motion would include the following information:

- Translation: A description of vertical and horizontal change (the translation vector)

- Reflection: Identify the line of reflection in equation format

- Rotation: Identify the point of rotation, the direction, and degree of rotation.

Answer 1

Answer:

  multiple possibilities, see below

Step-by-step explanation:

The figures are congruent. Any of the rigid motions described below will map ABC to A'B'C'.

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This question has multiple answers. The simplest is one transformation:

  rotation 180° (in either direction) about the point (1/2, 1/2)

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Equivalent to the above is two reflections (in either order):

• reflection across the line y = 1/2
• reflection across the line x = 1/2

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If you want to use rotation about another point, such as the origin, then these transformations (in order) will give the image figure:

• rotation 180° (in either direction) about the origin
• translation by (1, 1): up and right 1 unit each.

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You could also do something a little more strange, such as (in order) ...

• rotation 90° CW about (2, 1)
• rotation 90° CW about (0, 2)