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The coordinates of the vertices of △PQR are P(4, −2) , Q(6, −4) , and R(8, 0) .
The coordinates of the vertices of △P′Q′R′ are P′(−4, 3) , Q′(−6, 5) , and R′(−8, 1) .

Drag and drop the answers into the boxes to correctly complete the statement.


A sequence of transformations that maps △PQR to △P′Q′R′ is a _________ followed by a _________


Rotation of about 180 degrees about the orgin
Reflection across the X axis
Translation 1 unit down
Reflection across the Y Axis


I chose 1) Rotation of 180 degrees about the orgin
and 2) Reflection across the X axis.

I need someone to correct me if I am wrong

Respuesta :

sqdancefan

Answer:

Translation 1 unit down, followed by rotation of 180° about the origin

Step-by-step explanation:

Your selected set of transformations will put (4, -2) at (-4, 2) after the rotation, then at (-4, -2) after the reflection. This is not the same as (-4, 3).

Since the y-coordinate of P' is 3, it represents a translation up after the rotation, or a translation down before the rotation. Since translation up is not an option, we must select ...

  1. Translation 1 unit down
  2. Rotation 180° about the origin

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