6.02 Translations
Name:
Period:
Trace the figure. Move the figure according to the directions and draw a new figure.
1.
2.
3.
Are the two figures congruent?
Are the two figures congruent?
Are the two figures congruent?
Justify
Justify
Justify
Describe the movement in your own words:
A translation is the act of __________________a figure from one position to another without turning it.
4. Graph the preimage with the given vertices.
5. Graph the preimage with the given vertices.
∆ 𝐹𝐺𝐻 𝑤𝑖𝑡ℎ 𝑣𝑒𝑟𝑡𝑖𝑐𝑒𝑠 𝐹(1,3), 𝐺(2,4)𝑎𝑛𝑑 𝐻(3,2);
Rectangle PQRS with vertices
𝑃(−4, −1), 𝑄(0,1), 𝑅(1, −1), 𝑎𝑛𝑑 𝑆(−3, −3);
Then graph the image after the given translation:
Translated 4 units left and 2 units down.
Label each vertex of the
preimage with the
appropriate letter.
Then graph the image after the given translation:
Translated 2 units right and 2
units up.
Label each vertex of the
preimage with the
appropriate letter.
The original figure is called the __________________ and the new figure is called the ___________________.
The coordinates of the image are written using prime notation:
Ex: 𝑭′ 𝑮′ 𝑯′
Label each vertex of the image using prime notation.
6. Graph the rectangle PQRS with vertices Q(7, 6),
Q(3, 6), R(3, 1), and S(7, 1)
2.
7. Graph ∆𝐴𝐵𝐶 with vertices 𝐴(1,3), 𝐵(1,7) 𝑎𝑛𝑑 𝐶(6, 3)
Then graph the image after a translation of 9 units right
and 1 unit down.
Then graph the image after a translation of 5 units left
and 2 units up.
Translation notation describes how 𝒙 𝒂𝒏𝒅 𝒚 change as a
Write the coordinates of the image using prime notation.
result of the translation.
Write the coordinates of the image using prime notation. Fill in the Translation notation.
Coordinates of
Coordinates of Translation
Coordinates of Coordinates of Translation
Preimage
Notation
(mapping)
Image
Preimage
Notation (mapping)
Image
(𝒙, 𝒚) → (𝒙 + 𝟗, 𝒚 − 𝟏)
(𝒙, 𝒚) → (𝒙
,𝒚
)
𝑃(
,
𝑃′ (
)
,
)
Are the two images congruent? Justify.
Are the two images congruent? Justify.
8. The figure shows a capital “N” plotted on a coordinate plane. Find the coordinates of points F and G after the
figure is translated 2 units right and 2 units down. Draw the image after the translation.
Write the new coordinates using prime
notation: