Find the coordinates of the vertices of the figure if it is shifted 3 units to the right and 3 units up.

A) $( 8,5 ) , ( 0,8 ) , ( 2,5 ) , ( 0,1 )$
B) $( 8,1 ) , ( - 3,8 ) , ( 2,3 ) , ( - 3 , - 3 )$
C) $( - 2,5 ) , ( 0,3 ) , ( 2,3 ) , ( 0,1 )$
D) $( - 2,5 ) , ( 0,8 ) , ( 4,1 ) , ( 6,5 )$
E) $( - 2,5 ) , ( 0,8 ) , ( 2,5 ) , ( 0,1 )$

Question

Find the coordinates of the vertices of the figure if it is shifted 3 units to the right and 3 units up.

A) $( 8,5 ) , ( 0,8 ) , ( 2,5 ) , ( 0,1 )$ 
B) $( 8,1 ) , ( - 3,8 ) , ( 2,3 ) , ( - 3 , - 3 )$ 
C) $( - 2,5 ) , ( 0,3 ) , ( 2,3 ) , ( 0,1 )$ 
D) $( - 2,5 ) , ( 0,8 ) , ( 4,1 ) , ( 6,5 )$ 
E) $( - 2,5 ) , ( 0,8 ) , ( 2,5 ) , ( 0,1 )$

Quizplus · Accepted Answer

We need to add 3 units to the x-coordinate and 3 units to the y-coordinate of each vertex to shift the figure 3 units to the right and 3 units up. Using this transformation, we get the coordinates of the vertices as (-2+3, 5+3), (0+3, 8+3), (2+3, 5+3), and (0+3, 1+3), which simplify to (1,8), (3,11), (5,8), and (3,4). Therefore, the correct choice is E: $( - 2,5 ) , ( 0,8 ) , ( 2,5 ) , ( 0,1 )$ shifted 3 units to the right and 3 units up becomes $(1,8), (3,11), (5,8),$ and $(3,4)$.

Find the Coordinates of the Vertices of the Figure If (8,5),(0,8),(2,5),(0,1)( 8,5 ) , ( 0,8 ) , ( 2,5 ) , ( 0,1 )(8,5),(0,8),(2,5),(0,1)

Find the Coordinates of the Vertices of the Figure If $( 8,5 ) , ( 0,8 ) , ( 2,5 ) , ( 0,1 )$