The correct translation of the line segment would be:
Endpoint 1: (-2, 7)
After translating 3 units to the left and 5 units down:
New coordinate: (-2 - 3, 7 - 5)
= (-5, 2)
Endpoint 2: (0, 3)
After translating 3 units to the left and 5 units down:
New coordinate: (0 - 3, 3 - 5)
= (-3, -2)
Therefore, the translated endpoints of the line segment would be (-5, 2) and (-3, -2).
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).
(-5, 7) and (-3, 3)
(1, 2) and (3, -2)
(-7, 4) and (-3 -2)
(-5, 2 and (-3, -2)
3 answers
If a line signet with end points, 6, 3 and 6, 7 is translated 3 units up and 4 units to the right. How long is the line second after the translation?
To find the length of the line segment after the translation, we can use the distance formula.
First, let's find the new coordinates of the endpoints after the translation:
Endpoint 1: (6, 3)
After translating 3 units up and 4 units to the right:
New coordinate: (6 + 4, 3 + 3)
= (10, 6)
Endpoint 2: (6, 7)
After translating 3 units up and 4 units to the right:
New coordinate: (6 + 4, 7 + 3)
= (10, 10)
Now, let's find the length of the line segment using the distance formula:
Length = √[(x2 - x1)^2 + (y2 - y1)^2]
= √[(10 - 10)^2 + (10 - 6)^2]
= √[0 + 16]
= √16
= 4
Therefore, the length of the line segment after the translation is 4 units.
First, let's find the new coordinates of the endpoints after the translation:
Endpoint 1: (6, 3)
After translating 3 units up and 4 units to the right:
New coordinate: (6 + 4, 3 + 3)
= (10, 6)
Endpoint 2: (6, 7)
After translating 3 units up and 4 units to the right:
New coordinate: (6 + 4, 7 + 3)
= (10, 10)
Now, let's find the length of the line segment using the distance formula:
Length = √[(x2 - x1)^2 + (y2 - y1)^2]
= √[(10 - 10)^2 + (10 - 6)^2]
= √[0 + 16]
= √16
= 4
Therefore, the length of the line segment after the translation is 4 units.