Question

If a line segment with endpoints (6, 3) and (6, 7) is translated 3 units up and 4 units to the right, how long is the line segment after the translation?(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The original length of the line segment is the vertical distance between the two endpoints, which is 7 - 3 = 4 units.

After the translation 3 units up, the new y-coordinate of the first endpoint becomes 3 + 3 = 6. After the translation 4 units to the right, the new x-coordinate of both endpoints becomes 6 + 4 = 10.

So, the endpoints of the translated line segment are (10, 6) and (10, 10). The new length of the line segment is the vertical distance between these two points, which is 10 - 6 = 4 units.

Therefore, the line segment remains the same length, 4 units, after the translation.

Answer 2

A line segment has endpoints (1, 1) and (4, 4) . Demonstrating the properties of reflections across the y -axis, what are the reflected endpoints?(1 point)

Responses

(−1, −1) and (−4, −4)
left parenthesis negative 1 comma negative 1 right parenthesis and left parenthesis negative 4 comma negative 4 right parenthesis

(−1, 1) and (4, 4)
left parenthesis negative 1 comma 1 right parenthesis and left parenthesis 4 comma 4 right parenthesis

(1, −1) and (4, −4)
left parenthesis 1 comma negative 1 right parenthesis and left parenthesis 4 comma negative 4 right parenthesis

(−1, 1) and (−4, 4)