Symmetry & Congruence
description
Transcript of Symmetry & Congruence
Symmetry & Congruence
Reflections Rotations TranslationsSymmetry/
CongruenceCoordinates
100 100 100 100 100
200 200 200 200 200
300 300 300 300 300
400 400 400 400 400
Reflections 100
How many lines of symmetry does the object have?
Reflections100
None
Reflections200
How many lines of symmetry does the object have?
Reflections200
One
Reflections300
How many lines of symmetry does the object have?
Reflections300
Infinite
Reflections400
How many lines of symmetry does the object have?
Reflections400
None
Rotations100
What is the angle of rotation?
Rotations100
360 degrees
Rotations200
What is the angle of rotation?
Rotations200
90 degrees
Rotations300
What is the angle of rotation?
Rotations300
51.4 degrees
Rotations400
What is the angle of rotation?
Rotations400
360 degrees
Translations100
Does the image translate? If yes, what is the basic image.
Translations100
yes
Translations200
Does the image translate? If yes, what is the basic image.
Translations200
yes
Translations300
Does the image translate? If yes, what is the basic image.
Translations300
yes
Translations400
• Does the image translate? If so, what is the basic design?
Translations400
Yes
Symmetry & Congruence100
A
B C
M
N
O
Symmetry & Congruence100
Symmetry & Congruence200
A
B
C
D
H
I
J
K
Symmetry & Congruence200
Symmetry & Congruence300
• List all 8 triangles in rectangle ADCD.
A B
C D
M
Symmetry & Congruence300AMB
BMD
CMD
AMC
ACD
ABD
CAB
CDB
Symmetry & Congruence400
List all the triangles which are congruent to triangle
AMC. What type of symmetry did you use?
Symmetry & Congruence400
DMB(180 rotation) or BMD(vert. reflection)
Coordinates100
1 2 3 4 5 6 7–1–2–3–4–5–6–7 x
1
2
3
4
5
6
–1
–2
–3
–4
–5
–6
y
Write the coordinate points for rectangle MNOP
M N
O P
Coordinates100
M: (2,4)N: (6,4)O: (2,2)P: (6,2)
Coordinates200
Write the coordinates of the image as if it was reflected over the x-axis.M: (2,4), N: (6,4), O: (2,2),P: (6,2)
Coordinates200
M(2,-4)N(6,-4)O(2,-2)P(6,-2)
Coordinates300
Write the coordinates of the image as if it was translated left 6 and down 4.M: (2,4), N: (6,4), O: (2,2),P: (6,2)
Coordinates300
M(-4,0)N(0,0)O(-4,-2)P(0,-2)
Coordinates400
Write the coordinates of the image as if it was rotated 180 degrees.M: (2,4), N: (6,4), O: (2,2),P: (6,2)
Coordinates400
M(-2,-4)N(-6,-4)O(-2,-2)P(-6,-2)