L2 Translating Shapes
Completion requirements
Unit A: Geometry
Chapter 2: Transformations
Translating Shapes
ΔABC has the coordinates
A(7, 7), B(5, 2), and C(9, 2). Recall that the x-coordinate appears first and the y-coordinate appears last in the ordered pair: (x, y).
A translation is applied to ΔABC, and it moves horizontally 3 units to the left and vertically 10 units down. What are the coordinates of the translated image? Take a moment to draw the translation.
Click on the image to see the translation.
The image, ΔA'B'C', has the coordinates A'(4, –3), B'(2, –8), and C'(6, –8).
Translate the following shape horizontally 5 units to the right and vertically 10 units down.
Currently, the points of this shape are located at
A(–9, 6)
B(–5, 9)
C(–5, 5)
D(–7, 6)
To translate the shape move each point horizontally 5 units to the right and vertically 10 units down.
A(–9, 6) → A'(–9+5, 6–10) = A'(–4, –4)
B(–5, 9) → B'(–5+5, 9–10) = B'(0, –1)
C(–5, 5) → C'(–5+5, 5–10) = C'(0, –5)
D(–7, 6) → D'(–7+5, 6–10) = D'(–2, –4)
A(–9, 6)
B(–5, 9)
C(–5, 5)
D(–7, 6)
To translate the shape move each point horizontally 5 units to the right and vertically 10 units down.
A(–9, 6) → A'(–9+5, 6–10) = A'(–4, –4)
B(–5, 9) → B'(–5+5, 9–10) = B'(0, –1)
C(–5, 5) → C'(–5+5, 5–10) = C'(0, –5)
D(–7, 6) → D'(–7+5, 6–10) = D'(–2, –4)