Question

Ziva applied the following transformation to the provided ordered pair.

Step one: (x, y) -> ( x + 11, y - 5)

Step two: A (-1, 0) -> (-1 +11, 0 - 5)

Step three: A (-1, 0) -> A’ (10, 0)

Is the student’s answer correct?

Question 4 options:
True
False

Answer 1

Let's break down the transformation step by step using the ordered pair \( A(-1, 0) \).

1. According to step one, the transformation is given by:
\[
(x, y) \rightarrow (x + 11, y - 5)
\]

2. We start with the point \( A(-1, 0) \):
- Here, \( x = -1 \) and \( y = 0 \).

3. Applying the transformation:
- For \( x \):
\[
x + 11 = -1 + 11 = 10
\]
- For \( y \):
\[
y - 5 = 0 - 5 = -5
\]

4. The transformed coordinates are:
\[
A' (10, -5)
\]

The student stated that \( A' \) is \( (10, 0) \), which is incorrect. The correct answer should be \( A' (10, -5) \).

Therefore, the answer to the question is **False**.