draw the image of quadrilateral abcd under a translation by 2 units to the right and 5 units down.
draw the image of quadrilateral abcd under a translation by 2 units to the right and 5 units down.
Answer
Explanation:
Step1: Identify original coordinates
Original points: $A(-4, 1)$, $B(3, -1)$, $C(4, 1)$, $D(-5, 3)$
Step2: Apply translation rule
Translation: $(x+2, y-5)$
- $A'$: $(-4+2, 1-5) = (-2, -4)$
- $B'$: $(3+2, -1-5) = (5, -6)$
- $C'$: $(4+2, 1-5) = (6, -4)$
- $D'$: $(-5+2, 3-5) = (-3, -2)$
Step3: Plot and connect points
Plot $A'(-2,-4)$, $B'(5,-6)$, $C'(6,-4)$, $D'(-3,-2)$, then connect them in order.
Answer:
The coordinates of the translated quadrilateral $A'B'C'D'$ are: $A'(-2, -4)$, $B'(5, -6)$, $C'(6, -4)$, $D'(-3, -2)$ (When drawn on the grid, connect these four points to form the translated quadrilateral.)