Think and Click: Translations
Now, you try. Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.
For Questions #1-4, translate the following image 4 units to the left and 2 units up.
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Quadrilateral ABCD |
1. What is the new coordinate for point A?
T(-4, 2) (1, 4) = (1 – 4, 4 + 2) = (-3, 6)
A’ (-3, 6)
2. What is the new coordinate for point B?
T(-4, 2) (5, 0) = (5 – 4, 0 + 2) = (1, 2)
B’ (1, 2)
3. What is the new coordinate for point C?
T(-4, 2) (3, -2) = (3 – 4, -2 + 2) = (-1, 0)
C’ (-1, 0)
4. What is the new coordinate for point D?
T(-4, 2) (-1, 1) = (-1 – 4, 1 + 2) = (-5, 3)
D’ (-5, 3)
5. Using the translation (x, y) → (x + 1, y – 3),
what is point P’, the translation of point P(2, -1)?
(2, -1) → (2 + 1, -1 – 3) = (3, -4)
P’ (3, -4)
6. Using the translation T(3, -5), what is the translation of point Q (-1, -1)?
T(3, -5) (-1, -1) = (-1 + 3, -1 – 5) = (2, -6)
Q’ (2, -6)
