Reflections
Slides
Rotations
Rigid Motions
Symmetry
100
If C = (17, -9) Find:
Ry-axis(C)
C' = (-17, -9)
100
If A = (2, 2), Find:
T(-3, -5)(A)
A' = (-1, -3)
100
Which direction do negative rotations happen in?
Clockwise
100
What does a Rigid Motion Preserve?
Length and Angle Measure
100
What is point symmetry? Draw a shape that has point symmetry
Point Sym = 180o Rotational symmetry
*See drawings*
200
F' is a reflection of point F. If the distance between F and F' is 17 units, how far away is F from the line of reflection?
8.5 units
200
Write the Transformation of the point A from the following graph
T(6, -2)
200
If D = (-4, 6)
Find r(90o, O)(D)
D' = (-6, -4)
200
Name the 4 types of rigid motions
Reflections
Rotations
Translations (Slides)
Glide Reflections
200
Name the three regular shapes that can tesselate a plane
Bonus x2: State the definition of a "regular" shape
Square, Equilateral Triangle, and Hexagon
300
If B = (-4, 3) Find:
Rx-axis o Ry-axis o Rx-axis o Ry-axis (B)
B'''' = (-4, 3)
300
Simplify the following composition of translations into a single translation
T(-10, 4) o T(11, 7) o T(23, -15)
T(24, -4)
300
Find the coordinates of B' After
r(180o, A)(B) Note: The center of rotation is NOT the origin
B' = (1, 2)
300
If G = (5, 13) Find:
Rx-axis o T(7, -4)(G)
G'' = (12, -9)
300
How many reflection lines of symmetry does a hexagon have?
Draw them
12
400
A' = (2, 4)
B' = (4, 6)
C' = (1, 6)
400
A point moves in the following pattern in the coordinate plane:
Write a composition of translations (in the correct order) that models the path of the point. Then, simplify your composition into a single translation.
T(1, 3) o T(2, -1) o T(2, 3) = T(5, 5)
400
If E = (-8, 13) Find:
r(1620o, O)(E)
E' = (8, -13)
400
Write a composition of rigid motions (in correct order) that models the following motion:
*Check Answers*
Example Answer: Ry-axis o T(0, -5)
400
Calculate all of the rotational symmetries of a regular octagon
45, 90, 135, 180, 225, 270, and 315
500
A triangle is reflected Twice across 2 parallel Lines
The end result of both reflections is
T(12, 0) (slide 12 units right)
How far apart must the two parallel reflection lines be?
6 Units Apart
500
A point has the following slide applied to it
T(7, 18)
How far (in units) did the point move? (round to the nearest hundredth)
19.29 units
500
A point lies 3m away from its center of rotation. After a 270o Rotation, how many meters does the point travel around?
(hint: think circumference, but not all of it)
Circumference of circle (360o) = 18.85m
270o rotation = 14.14m Traveled
500
A Dialation is an example of a non-rigid motion. A dilation is of the form:
Dk where k is the dilation factor.
Given A(-2, 5) B(10, 11) and C(3, -1) Find D3(ABC)
A' = (-6, 15)
B' = (30, 33)
C' = (9, -3)
500
How many Capital Letters of the Alphabet have reflectional symmetry? List them
16.
A, B, C, D, E, H, I, K, M, O, T, U, V, W, X, and Y.