Chapter 4 review Flashcards
Translation:when an image is translated, it is “____” by a _____ <,>
Shifted
Vector
<a,b>
Translation coordinate rule:
(X,y) —>
(x+a, y+b)
Translation vector:
a:
b:
Left/right
Up/down
Vector: to ___ something
Slide
How many lines of symmetry does a star have?
5
How many lines of symmetry does a heart have?
One
How many lines of symmetry does a checkmark have?
0
Reflection properties:
1. The reflection line is a _____ _____ between the 2 images. The images are ________ to the line of reflection.
2. A point reflected __ ___ _____ of reflection is the ___ ____ (when flipped)
- Perpendicular bisector
Equidistant - On the line
Same point
X - axis coordinate rule:
(x,-y)
Y = x coordinate rule:
(y,x)
Y - axis coordinate rule:
(-x,y)
Y = -x coordinate rule:
(-y,-x)
Two negative signs =
+ number
90 coordinate rule:
(-y,x)
270 coordinate rule:
(y,-x)
Dilation coordination rule:
(kx,ky)
Translation coordinate rule:
(x+a,y+b)
Rotational symmetry steps:
1. Count the _____ “parts”
2. Divide 360 by the number of ______
3. ____ the numbers repeatedly before it goes over _____.
- Vertices
- Vertices
- Add
180
Rotation properties:
1. If points and their images have been ____, then they are ______ to the center of rotation.
2. If a point rotated is on the ___ ___ ____ then it is the ____ point after the rotation.
- Rotated
Equidistant - Center of rotation
Same
Composition:
______ transformations in a _____.
A-> a’-> a”-> a”’
Multiple
Row
Rigid motion: a _____ that contains _____.
Transformation
Congruence
Rigid motion examples:
Reflection
Translation
Rotation
Dilations definition: a _____ where a figure gets ____ or _____ from a center of ____. ( By a ____ ____, k)
Transformation
Bigger
Smaller
Dilation
Scale factor
Scale factor:
- A scale factor, __ is a ratio of ____ sides.
- for enlarging: k<
_-1 ( ___ number on top)
- for reducing, -1 _ k _ 1 ( _____ number on top)
- K
Corresponding - <
Big - <
Small
Scale factor coordinate rule: (k_ x, k_y)
Times sign
Describing compositions: similarly
Two figures are similar figures when they have the ____ shape but not necessarily the ____ size.
Same
Same
Congruent figures:
Check if one figure can be _____ onto the other using transformations.
Mapped
Reflection in the line x = y
(y,x) don’t change signs
Dilation: this recipe makes 12 cookies. How do I make 58 cookies?
58/12 = 4.833
X = 2 reflection on graph
Up down intersecting 2 on x axis
Y= -1 reflection on graph
Left to right line intersecting -1 on y axis
Reflection: in the line y = - x
Two lines that form an x and meet in middle of graph where axis’s meet
Done