Question

HELP ASAP, IM DUE IN 4 HOURS

Rotate DEF 90° clockwise around the origin. Then translate D'E'F' to the right 5units and down 2 units. What are the coordinates of D''E''F''? Show and explain how you arrived at your answer.

Answer 1

Answer below and in attached graph Step by stepShow and explain:1) The rule for a rotation by 90° around the origin is (x,y)→(−y,x) so I moved the y to x and changed the sign, I moved x to y position. 2) to translate 5 units right and 2 units down, you add (+5, -2) to your current coordinates of D’ E’ and F’ giving D’’ E’’ F’’. Pre Image ➡️ D’ E’ F’ ➡️. D’’ E’’ F’’ (+5, -2)D (-5, -2) ➡️ (2, -5) ➡️ (7, -7)E (0, -2) ➡️ (2, 0). ➡️ (7, -2)F (-4, -6) ➡️ ( 6, -4). ➡️ (11, -6)Attached graph of pre image and transformations

Answer 2

Answer below and in attached graph

Step by step

Show and explain:
1) The rule for a rotation by 90° around the origin is (x,y)→(−y,x) so I moved the y to x and changed the sign, I moved x to y position.

2) to translate 5 units right and 2 units down, you add (+5, -2) to your current coordinates of D’ E’ and F’ giving D’’ E’’ F’’.

Pre Image ➡️ D’ E’ F’ ➡️. D’’ E’’ F’’ (+5, -2)

D (-5, -2) ➡️ (2, -5) ➡️ (7, -7)

E (0, -2) ➡️ (2, 0). ➡️ (7, -2)

F (-4, -6) ➡️ ( 6, -4). ➡️ (11, -6)

Attached graph of pre image and transformations