Translation
What is the meaning of Translation in mathematics?
To move a figure along the horizontal x axis or vertical x axis.
What is Reflection?
A reflection is a transformation where a mirror image is created.
In a rotation of a set of points, what geometric structure defines the motion of points?
Circular Motion
Define Dilation.
When a figure is enlarge or compress.
Shrink or stretch
What made two figure congruent? explain
If the original figure has undergone a rigid
motion or set of rigid motions.
What is Isometry?
Congruence or equal.
Identify the transformation.
We are given T(x, y) = (x, –y).
We are given the coordinates of the vertices A (5, 2), B (3, 5), and C (2, 2).
(5,-2)
(3,-5)
(2,-2)
What two types of rotation can you do on a coordinate plane?
Clockwise and Counterclockwise
How many ways can you see a dilation on a graph?
Horizontal stretch, compress
Vertical Stretch, compress
Enlarge or Shrink
What is the Line of Symmetry? explain.
Figures can be reflected through lines of symmetry onto themselves.
What is the formula for Translation?
(x, y)-(x+-h, y+-k)
Solve the reflection
S = r(x + 2, –y + 3) and (–y + 3, x + 2)
From Point (2,0)
(4,-3), (0, 2)
In a rotation, which point is moved the greatest distance?
The farthest points.
What is the formula for Dilation?
(x,y)- (kx,ky)
Are all figures symmetrical?
Not all figures are symmetrical.
T(x,-3,y+5) over P(2,0)
What is T(P(2,0)
(-1,5)
How Many coordinate points you have to move to create a Refletion of a Paralellogram?
Four Points
How does the point V (3, 3) move in the transformation T(R(V)), where T(x, y) = (x + 2, y + 5) and R(x, y) = (–x, –y)?
(-5,-8)
What is K
The scale factor.
How can be determine if a figure is congruent?
If the figure has undergone only rigid motions (translations, reflections, or rotations), then the figures are congruent.
In what Quadrant is P(2,1) when Translated to
(x,-3,y+3)
Quadrant II
Is the image created from a Reflection a Rigid Motion or Non-Rigid motion? Explain?
Rigid Motion, because the image created is a mirror image and does not change shape.
Let R(x, y) = (–x, –y) and T(x, y) = (x + 5, y + 1). Graph the transformation R(T(ABC)), where A (–4, –2), B (–6, –7), and C (–2, –3).
Show graph
When is a proper dilation
When the scale factor is the same in all points of the figure.
How is determine is a figure is enlarge or reduce?
If the scale factor is larger than 1, then the figure is enlarged.
If the scale factor is between 0 and 1, then the figure is reduced.