Answer:
Explanation:
To understand the transformation better we will take a point B first.
Coordinates of B → (3, 0)
When we rotate this point by 180° counterclockwise about the origin, rule to be followed,
(x, y) → (-x, -y)
By this rule, coordinates of B'' will be,
B(3, 0) → B''(-3, 0)
Now we translate the point B by 2 units right.
Rule for the translation is,
(x, y) → [(x + 2), 0]
Following this rule,
B''(-3, 0) → B'[(-3+2), 0]
→ B'(-1, 0)
We can conclude with the statement, "Figure ABCD was rotated by 180° about the origin followed by the translation of 2 units to the right" to get the new figure A'B'C'D' similar to pre-image ABCD.