Geometry
9.1 – 9.3 Key Facts
9.1 Reflections:
Across the x – axis
Across the y – axis
Across the y = x
9.2 Translations:
Vector Form
(Component Form)
Function Notation
9.3 Rotations:
90° Counterclockwise
180° Counterclockwise
270° Counterclockwise
(x, y) → (
(x, y) → (
,
)
,
)
,
)
(x, y) → (
(x, y) → (
(x, y) → (
(x, y) → (
(x, y) → (
,
)
,
)
,
)
,
)
Plot point A(5, 2). Complete the following transformations and find where the new image is. Always transform the
original point A. Write the ordered pair of the image on the line provided.
a) Reflect A across the x – axis to find A’ _____________
b) Reflect A across the y – axis to find A’’____________
c) Reflect A across the line y = x to find A’’’___________
d) Translate A 〈−𝟕, 𝟒〉 to find A’’’’____________
e) Translate A (x + 2, y – 5) to find A’’’’’_____________
f) Rotate A 90° counterclockwise to find A’’’’’’ ___________
g) Rotate A 180° to find A’’’’’’’ _____________
h) Rotate A 270° counterclockwise to find A’’’’’’’’ _________