Geometry
Homework – Rotation and Symmetry
Name __________________________________
1) Find the image Q(4, -1) after being rotated 90o.
2) Find the image P (6, 3) after being rotated 180o.
3) Find the image C(-4, -5) after being rotated 270o.
4) Find the image D(-2, 4) after being rotated 90o
5) Given the points A(-5, 1), B(-3, 4) and C(-1, 2), draw
Triangle ABC and its rotation of 90o.
A’ ___________ B’ ____________ C’ _____________
6) Find the image of (-3, 2) after each counter clockwise rotation.
90o ____________
180o ______________ 270o ______________
360o _________________
7) Find the image of (5, -2) after each counter clockwise rotation.
90o ____________
180o ______________ 270o ______________
360o _________________
Plots the given point and do the following transformations and give the final location.
8) Plot



(2, 4).
(x, y)
(x – 4, y + 2)
Reflect over the x-axis
Rotate 180o
9) Plot (-3, -1)
 (x, y)
(x, y + 7)
 Reflect over y = 2
 Rotate 90o
10) Plot (-4, 4)
* (x, y)
(x + 6, y + 1)
* Reflect over x = -1
* Rotate 270o
Labe each figure with the correct transformation term. Translation, Rotation, Reflection.
11)
Draw all lines of symmetry for each figure.
12.
15.
13.
14.
How many times can you rotate? __________ List the rotational symmetry.
16. How many times can you rotate? __________ List the rotational symmetry.
Judging from appearance, tell what type(s) of symmetry each figure has. If it has line symmetry, sketch the figure and
the line(s) of symmetry. If it has rotational symmetry, state the angle of rotation.
17.
18.
19.
20.