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) Responses There is not enough information to measure the line segment. There is not enough information to measure the line segment. 10 units 10 units 0 units 0 units 4 units
To find the length of a line segment, we can use the distance formula.
The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using the points (6,3) and (6,7), the distance formula becomes:
d = √((6 - 6)^2 + (7 - 3)^2)
d = √(0^2 + 4^2)
d = √(0 + 16)
d = √16
d = 4
So, the length of the line segment is 4 units.
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 1 right parenthesis and left parenthesis 4 comma 4 right parenthesis (−1, 1) and (−4, 4) left parenthesis negative 1 comma 1 right parenthesis and left parenthesis negative 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)
To reflect a point (x, y) across the y-axis, we need to change the sign of its x-coordinate.
For the point (1, 1), the reflected point will be (-1, 1).
For the point (4, 4), the reflected point will be (-4, 4).
So, the reflected endpoints of the line segment are (-1, 1) and (-4, 4).