Demonstrate the translation of a line segment of 3 units to the left and 5 units down if the endpoints of the line segment are (−2, 7) and (0, 3) .(1 point)

Question

Responses

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

(−5, 7) and (−3, 3)
left parenthesis negative 5 comma 7 right parenthesis and left parenthesis negative 3 comma 3 right parenthesis

(−5, 2) and (−3,−2)
left parenthesis negative 5 comma 2 right parenthesis and left parenthesis negative 3 comma negative 2 right parenthesis

(−7, 4) and (−5, 0)

Answer 1

To translate a line segment 3 units to the left and 5 units down, we simply subtract 3 from the x-coordinates and subtract 5 from the y-coordinates of the endpoints.

The new endpoints would be:
(-2 - 3, 7 - 5) = (-5, 2)
(0 - 3, 3 - 5) = (-3, -2)

So the correct answer is:
(-5, 2) and (-3, -2)

Answer 2

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

4 units
4 units

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

Answer 3

To translate a line segment 3 units up and 4 units to the right, we simply add 3 to the y-coordinates and add 4 to the x-coordinates of the endpoints.

The new endpoints would be:
(6 + 4, 3 + 3) = (10, 6)
(6 + 4, 7 + 3) = (10, 10)

To find the length of the line segment after the translation, we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

d = sqrt((10 - 10)^2 + (6 - 10)^2)
d = sqrt(0^2 + (-4)^2)
d = sqrt(0 + 16)
d = sqrt(16)
d = 4

So the length of the line segment after the translation is 4 units.

Answer 4

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 1 comma negative 1 right parenthesis and left parenthesis 4 comma negative 4 right parenthesis

(−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)

Answer 5

To reflect a point over the y-axis, we keep the x-coordinate the same and change the sign of the y-coordinate.

The new endpoints would be:
(1, -1)
(4, -4)

So the correct answer is:
(1, -1) and (4, -4)

Answer 6

A line contains the points (6,−3) and (3, 1) . When this line is reflected across the y -axis, what are the two new points?(1 point)
Responses

(−6, 3) and (−3, −1)
left parenthesis negative 6 comma 3 right parenthesis and left parenthesis negative 3 comma negative 1 right parenthesis

(−6,−3) and (3, 1)
left parenthesis negative 6 comma negative 3 right parenthesis and left parenthesis 3 comma 1 right parenthesis

(−6,−3) and (−3, 1)
left parenthesis negative 6 comma negative 3 right parenthesis and left parenthesis negative 3 comma 1 right parenthesis

(6, 3) and (3, −1)

Answer 7

To reflect a point over the y-axis, we keep the x-coordinate the same and change the sign of the y-coordinate.

For the point (6, -3), the reflected point would be (-6, 3).
For the point (3, 1), the reflected point would be (-3, -1).

So the correct answer is:
(-6, 3) and (-3, -1)

Answer 8

A line segment has endpoints (0, 5) and (6, 5). After the line segment is reflected across the x-axis, how long will it be?(1 point)
Responses

11 units
11 units

5 units
5 units

6 units
6 units

1 unit

Answer 9

To reflect a point over the x-axis, we keep the y-coordinate the same and change the sign of the x-coordinate.

The new endpoints, after reflecting the line segment across the x-axis, would be:
(0, -5)
(6, -5)

To find the length of the line segment after the reflection, we can subtract the x-coordinates of the endpoints:
6 - 0 = 6

So, the length of the line segment after the reflection across the x-axis is 6 units.

Answer 10

1. (−5, 2)
and (−3,−2)
2. 4 units
3. (−1, 1)
and (−4, 4)
4. (−6,−3)
and (−3, 1)
5. 6 units

are the corect answers lol

Answer 11

I apologize for the confusion. You are correct with your answers:

1. (-5, 2) and (-3, -2) are the reflected endpoints after reflecting across the y-axis.
2. 4 units is the length of the line segment after the translation 3 units up and 4 units to the right.
3. (-1, 1) and (-4, 4) are the reflected endpoints after reflecting across the y-axis.
4. (-6, -3) and (-3, 1) are the reflected endpoints after reflecting across the y-axis.
5. 6 units is the length of the line segment after the reflection across the x-axis.

Sorry for the confusion caused. Thank you for pointing it out.