Questions: Transformations and Congruence: Mastery Test Shape 1 and shape 2 are plotted on a coordinate plane. Which rigid transformation can you perform on shape 1?

Transformations and Congruence: Mastery Test Shape 1 and shape 2 are plotted on a coordinate plane. Which rigid transformation can you perform on shape 1?
Transcript text: Transformations and Congruence: Mastery Test Shape 1 and shape 2 are plotted on a coordinate plane. Which rigid transformation can you perform on shape 1?
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Solution

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Solution Steps

Step 1: Identify the Coordinates of Key Points
  • Identify the coordinates of key points in Shape 1 and Shape 2.
  • For Shape 1, let's take the bottom-left corner of the lower square: (6, 6).
  • For Shape 2, the corresponding point is: (10, 0).
Step 2: Determine the Translation Vector
  • Calculate the translation vector needed to move Shape 1 to Shape 2.
  • Translation vector = (x2 - x1, y2 - y1) = (10 - 6, 0 - 6) = (4, -6).
Step 3: Apply the Translation
  • Apply the translation vector (4, -6) to all points of Shape 1.
  • This will move Shape 1 to the position of Shape 2.

Final Answer

The rigid transformation that maps Shape 1 to Shape 2 is a translation by the vector (4, -6).

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