Pre-AP Geometry
Unit 3 - Transformation Review Name: ______
Review all Symmetry, Dilations, Reflections, Rotations, Translations, Tessellations Transformations Notes and HW.
1. What is isometry ? What transformations are isometric? What transformations are not isometric?
For the following, if they exist, draw the lines of symmetry, state the rotational order/fold and degrees.
2) 3) pod 4)
Find the scale factor of the following, then state if it is an enlargement or a reduction. Images are shaded.
24
5) 6) 6
SF ______SF ______
______
Find the coordinates of the image of each point under a dilation centered at (0, 0)
______7. dilation image with scale factor -4 of (-7, 5). Enlargement or reduction?
______8. dilation image with scale factor of (–8, 14). Enlargement or reduction?
9. Know how to find the points/images after they have been reflected across the following
*Start with pre-image unless asked otherwise*
Pre-Image / y-axis / x-axis / y = x / y = -x(x, y)
( -3, 8)
Know how to find the points/images after a rotation has been done
Pre-Image / 90° clockwise rotation about the origin / 90° counterclockwise rotation about the origin / 180° (half-turn) rotation about the origin(x, y)
( -4, 7)
10. Find the following coordinates using the picture to the right.
a) Original
A ______B ______C______
b) Coordinates after reflecting original across the x-axis
A’ ______B’ ______C’ ______
c) Coordinates after reflecting original across the y-axis
A’ ______B’ ______C’ ______
d) Coordinates after reflecting original across the line y = x
A’ ______B’ ______C’ ______
e) Coordinates after reflecting original across the y = -x
A’ ______B’ ______C’ ______
f) Coordinates after rotating original 90° counterclockwise rotation about the origin
A’ ______B’ ______C’ ______
g) Coordinates after rotating original 180° rotation about the origin
A’ ______B’ ______C’ ______
h) Coordinates after rotating original 270° counterclockwise rotation about the origin
A’ ______B’ ______C’ ______
Use the transformation T: (x, y) à ( x - 3, y + 6 ) to find the coordinates of the image of each point:
11) A ( -5, 8) 12) B (1, 4)
13) Find the pre-image of (-3, 1). 14) What point has (-3, 6) for its
image?
Consider the translation AB from A(-5, 2) to B(3, 7). Find the translation image of each point.
15) What is the rule for this translation?
16) M (3, 1) 17) I (-2, 3)
18) The image is shaded.
Translation Rule: ( x , y )
19. Given the dilation shown below, find the scale factor. The image is shaded.
20. True or false:
a) A circle tessellates.
b) All triangles tessellate.
c) All quadrilaterals tessellate.
d) A regular hexagon tessellates.
e) A regular pentagon tessellates.