Question

Transformations and Congruence Online Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
A line contains the points (2, 5)
and (4, 7)
. Translate this line up 4 units and to the left 4 units. What are the points after the translation?(1 point)
Responses

(−2, 1)
and (0, 3)
left parenthesis negative 2 comma 1 right parenthesis and left parenthesis 0 comma 3 right parenthesis

(−2, 9)
and (0, 11)
left parenthesis negative 2 comma 9 right parenthesis and left parenthesis 0 comma 11 right parenthesis

(6, 1)
and (8, 3)
left parenthesis 6 comma 1 right parenthesis and left parenthesis 8 comma 3 right parenthesis

(6, 9)
and (8, 11)

Answer 1

To find the new positions of the points after the translation, we start with the original points \((2, 5)\) and \((4, 7)\).

**Translation details:**
- Up 4 units means adding \(4\) to the \(y\)-coordinates.
- Left 4 units means subtracting \(4\) from the \(x\)-coordinates.

**Translating the first point \((2, 5)\):**
- New \(x\)-coordinate: \(2 - 4 = -2\)
- New \(y\)-coordinate: \(5 + 4 = 9\)
- So, the new first point is \((-2, 9)\).

**Translating the second point \((4, 7)\):**
- New \(x\)-coordinate: \(4 - 4 = 0\)
- New \(y\)-coordinate: \(7 + 4 = 11\)
- So, the new second point is \((0, 11)\).

Therefore, after the translation, the points are \((-2, 9)\) and \((0, 11)\).

**The correct response is:**
\((-2, 9)\) and \((0, 11)\)