Translations
A ___________________________ is a transformation where all the points of a figure are moved the same distance in the same direction.
A translation is an ______________________, so the image of a translated figure is congruent to the preimage.
Ex 1: Tell whether each transformation appears to be a translation. Explain.
A vector in the coordinate plane can be written as <a
, b> , where a
is the horizontal change and b
is the vertical change from the initial point to the terminal point.
Translation Along a Vector
Ex 2: Translate the triangle with vertices D( –3, –1), E( 5, –3), and F (–2, –2) along the
vector <3, –1>.
Ex 3: Find the translation vectors Ex 4: A triangle with vertices A(­2, that moves ­3), B(3, ­5), C(6, 1) is translated the figure on the coordinate plane. repeatedly along the vector . What are the coordinates of the third triangle in the pattern?
A’’_____________ B’’_____________ C’’_____________ Formula: (x, y) → ______________
D (–3, –1) E (5, –3) F (–2, –2) D
’ ( , ) E ’ ( , )
F ’ ( , ) figure 1 → figure 2
figure 2 → figure 3