The solution to the questions are
- The description of the translation in words is horizontal shift to the left by 4 units and vertical shift up by 3 units
- A(−7, 4), B(−7, 7), and C(−11, 5).
- ∆ABC is congruent to ∆A"B"C"
<h3>Part A: How is the translation described with words?</h3>
We have the translation to be:
∆ABC is translated according to the rule (x, y) → (x − 4, y + 3) to form ∆A'B'C'
The translation rule (x, y) → (x − 4, y + 3) involves a horizontal translation and a vertical translation
So, the description of the translation in words is horizontal shift to the left by 4 units and vertical shift up by 3 units
<h3>Part B: Where are the vertices of ∆A'B'C' located?</h3>
We have:
A(−3, 1), B(−3, 4), and C(−7, 1).
When the rule applied, the points become
A(−7, 4), B(−7, 7), and C(−11, 5).
<h3>Part C: Is ∆ABC congruent to ∆A"B"C"?</h3>
Here, the transformation rule is given as:
Triangle A'B'C' is rotated 90° clockwise about the origin to form ∆A"B"C"
A clockwise rotation by 90° is a rigid transformation
This means that the sides and angles of both shapes are congruent
Hence, ∆ABC is congruent to ∆A"B"C"
Read more about transformation at:
brainly.com/question/4289712
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