Question

bot A triangle with an area of 25 square units is rotated 180° clockwise. What is the area of the rotated figure?(1 point)
square units

Answer 1

Translate the line segment with endpoints (0, 0) and (5, 4) up 3 units and left 2 units. What are the new endpoints?(1 point)
The new endpoint for (0, 0) is: (
).
The new endpoint for (5, 4) is: (
).

Answer 2

A line contains the points (−4, 2) and (−4, 6) . The line is translated 3 units to the right and 2 units down. What are the new points on the translated line?(1 point)
The new point for (−4, 2) is: (
).
The new point for (−4, 6) is: (
).

Answer 3

A line segment is translated 3 units down and 1 unit to the left. One of the endpoints after the translation is (5, 8) . What was this point before the translation?(1 point)
(
)

Answer 4

The area of the rotated figure will remain the same at 25 square units. Rotation does not change the area of a figure, only its orientation.

Answer 5

The original endpoints are:

Endpoint A: (0, 0)
Endpoint B: (5, 4)

After translating up 3 units and left 2 units, the new endpoints are:

Endpoint A: (0 - 2, 0 + 3) = (-2, 3)
Endpoint B: (5 - 2, 4 + 3) = (3, 7)

Answer 6

To translate the line 3 units to the right and 2 units down, we add 3 to the x-coordinate and subtract 2 from the y-coordinate.

For the point (-4, 2):
New x-coordinate: -4 + 3 = -1
New y-coordinate: 2 - 2 = 0
New point: (-1, 0)

For the point (-4, 6):
New x-coordinate: -4 + 3 = -1
New y-coordinate: 6 - 2 = 4
New point: (-1, 4)

Answer 7

To find the original point before the translation from the given endpoint (5, 8), we need to reverse the translation.

Given that the line segment was translated 3 units down and 1 unit to the left, we need to move 3 units up and 1 unit to the right to find the original point.

For the endpoint (5, 8):
Original x-coordinate: 5 + 1 = 6
Original y-coordinate: 8 + 3 = 11
The original point is (6, 11).