5169231
Description
Mind Map by Weihong Cen, updated more than 1 year ago
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Created by Weihong Cen
about 8 years ago
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Transformations
- Reflection
- See Reflection
FlashCards
- Rules
- Reflect Across X-Axis
- (x, y) ----> (x, -y)
- (x, y) ----> (x, -y)
- Reflect Across Y = X
- (x, y) ----> (y, x)
- (x, y) ----> (y, x)
- Reflect Across Y-Axis
- (x, y) ----> (-x, y)
- (x, y) ----> (-x, y)
- Reflect Across X = Number
- (x, y) ----> (x, 0+(coordinate
to the number)*2)
- *If the coordinate >
number, y is negative.*
- *If the coordinate >
number, y is negative.*
- (x, y) ----> (x, 0+(coordinate
to the number)*2)
- Reflect Across Y = -X
- (x, y) ----> (-y, -x)
- (x, y) ----> (-y, -x)
- Reflect Across Y = Number
- (x, y) ----> ( 0+(coordinate to
the number)*2 , y)
- *If the coordinate >
number, x is negative.*
- *If the coordinate >
number, x is negative.*
- (x, y) ----> ( 0+(coordinate to
the number)*2 , y)
- Reflect Across the Orgin
- (x, y) ----> (-y, -x)
- (x, y) ----> (-y, -x)
- Reflect Across X-Axis
- A reflection is the image of a figure
that has been “flipped” over a line of
reflection. A reflection is also a rigid
transformation which means the
preimage and image are congruent.
- The preimage is always the
same distance away from the
line of reflection as the image.
- See Reflection
FlashCards
- Translation
- Translation: the process of
moving something from
one place to another.
- Examples:
- Step 1: (x + 3, y + 2)
Step 2: (x - 2, y + 5)
- Result: (x, y) ----> (x - 1, y + 7)
- Result: (x, y) ----> (x - 1, y + 7)
- Step 1: (x - 10, y + 10)
Step 2: (x - 10, y + 10)
- Result: (x, y) ----> (x - 20, y + 20)
- Result: (x, y) ----> (x - 20, y + 20)
- Step 1: (x + 3, y + 2)
Step 2: (x - 3, y - 2)
- Result: (x, y) ----> (x, y)
- Result: (x, y) ----> (x, y)
- Step 1: (x + 5, y + n)
Step 2: (x - n, y + 7)
- Result: (x, y) ----> (x + 5 - n, y + 7 + n)
- Result: (x, y) ----> (x + 5 - n, y + 7 + n)
- Step 1: (x + 3, y + 2)
Step 2: (x - 2, y + 5)
- Translation: the process of
moving something from
one place to another.
- Dilation
- A dilation is a transformation (notation )
that produces an image that is the same
shape as the original, but is a different
size. A dilation stretches or shrinks the
original figure. The description of a
dilation includes the scale factor (or
ratio) and the center of the dilation.
- See Transformation
Flashcards (Edit on Jadéjah
Robinson's work)
- Rotation
- A rotation is a transformation
which is also called a “turn”. A
rotation uses a point as its center
of rotation. This center of rotation
may or may not be on the figure. A
rotation is a rigid transformation,
which means the preimage and
image are congruent.
- There are Two types of
transformations, one is Rigid
Transformation, and one is
Non-Rigid Transformation
- Rigid Transformation is a
transformation of a figure that
preserves size and shape. The three
kinds of rigid transformations
studied are translation (slide),
reflection (flip), and rotation (turn).
- Non-rigid transformations change the
size but not the shape of the preimage,
dilation is a non-rigid transformation
- Take the quiz if you are ready
- Rigid Transformation is a
transformation of a figure that
preserves size and shape. The three
kinds of rigid transformations
studied are translation (slide),
reflection (flip), and rotation (turn).
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