Question

What are the coordinates of the vertices after a rotation 270 degrees counterclockwise around the origin? Write the coordinates of D, E, F

Answer 1

Answer:

• D' (3, 7)
• E' (9, 7)
• F' (0, 2)

Step-by-step explanation:

To find the coordinates of the vertices after a rotation of 270 degrees counterclockwise around the origin, we can use formula or rule:

$\Large\boxed{\boxed{ (x, y) \longrightarrow (y, -x)}}$

Given points of triangle DEF:

• D(-7,3)
• E(-7,9)
• F(-2,0)

Now, applying this rule to each vertex:

For point D(-7, 3):

$D' = (3, -(-7)) = (3, 7)$

For point E(-7, 9):

$E' = (9, -(-7)) = (9, 7)$

For point F(-2, 0):

$F' = (0, -(-2)) = (0, 2)$

So, the coordinates of the vertices after a rotation of 270 degrees counterclockwise around the origin are:

• D' (3, 7)
• E' (9, 7)
• F' (0, 2)