Question
Where is point B after a translation of five unit right then four units up followed by a rotation of 180° around the origin
A(-3,2)
B(2,1)
C (3,-5)
D(-6,-2)
A(-3,2)
B(2,1)
C (3,-5)
D(-6,-2)
Answers
GPT 3.5
To find the coordinates of point B after the given transformations, we will apply each transformation step by step.
1. Translation of five units to the right:
This means we add 5 to the x-coordinate of B.
New coordinates of B after translation: (2 + 5, 1) = (7, 1)
2. Translation of four units up:
This means we add 4 to the y-coordinate of B.
New coordinates of B after translation: (7, 1 + 4) = (7, 5)
3. Rotation of 180° around the origin:
For a rotation of 180° around the origin, we change the sign of both coordinates of B.
New coordinates of B after rotation: (-7, -5)
Therefore, after the translation of five units to the right, then four units up, followed by a rotation of 180° around the origin, point B is located at (-7, -5).
1. Translation of five units to the right:
This means we add 5 to the x-coordinate of B.
New coordinates of B after translation: (2 + 5, 1) = (7, 1)
2. Translation of four units up:
This means we add 4 to the y-coordinate of B.
New coordinates of B after translation: (7, 1 + 4) = (7, 5)
3. Rotation of 180° around the origin:
For a rotation of 180° around the origin, we change the sign of both coordinates of B.
New coordinates of B after rotation: (-7, -5)
Therefore, after the translation of five units to the right, then four units up, followed by a rotation of 180° around the origin, point B is located at (-7, -5).