Transformation involves changing the position of a shape
- The sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal and vertical shifts
- The ordered pair rule is:
<u>(a) The sequence that maps both triangles</u>
From the figure the coordinates of both triangles are:
Start by reflecting triangle ABC across the y-axis.
The rule of this transformation is:
So, we have:
Next, translate the triangle 1 unit left and 2 units down
The rule of this transformation is:
So, we have:
Hence, the sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal shift to the left by 1 unit, and vertical shift down by 2 units
<u>(b) The ordered pair rule</u>
In (a), we have:
---- reflection
--- translation
Combine both transformations, so we have the following ordered pair:
Hence, the ordered pair rule is:
Read more about transformation at:
brainly.com/question/22047495