Translations
A(1, 4) is translated 5 units right and 4 units down. What is A'?
A'(6, 0)
Describe how you would plot (-12, -8)
1) Start of origin
2) Go left 12
3) Go down 8 (draw a dot)
True or False: Reflections preserve size and orientation.
False - orientation is not preserved under a reflection.
True or False: A dilatation preserves the shape and orientation of a figure.
True
What transformations have we studied?
Translation, reflection, dilatation
Translate L(-3, -2) A(0, -1) D(3, -2) 1 unit right and 3 units up.
L'(-2, 1) A'(1, 2) D'(4, 1)
The point (0, 7) sits on which axis?
The y-axis
What is the new coordinate point of H(-7, 9) if you reflect it over the x-axis?
H'(-7, -9)
What is the new image of G(8, 10) if it undergoes a dilation by a factor of 3?
G'(24,30)
What is a transformation?
A change in a figure that results in a different position, orientation or size (ie: translation, reflection, dilatation)
What is the translation if the points are going from A(-3, -4) -> A'(3, -3) and B(-1, -5) -> B'(5, -4)?
6 units right, 1 unit up
What is the rotational symmetry order of a square?
Order 4
What are the points of the new image after a reflection over the y-axis?
D(-1, -4)
E(2, -4)
D'(1, -4)
E'(-2, -4)
True or False: A dilatation only shrinks a figure.
False: It enlarges a figure too!
What is a multiplier and in which transformation is it necessary?
Multiplier = image/pre-image and is necessary in dilatations
A' (8, -7) -> A(16, 1)
What translation occurred and how do we know it wasn't a dilatation?
up 8, right 8
A dilatation would multiply both coordinates by the same number (not add the same number)
How many lines of symmetry are there in an isosceles triangle?
Only 1
Is the line of reflection the x or y axis given the below transformation:
L (1, 0) -> L'(1, 0)
M(1, 4) -> M'(1, -4)
N (3, 0) -> N'(3, 0)?
x-axis!
When looking a two figures on a graph, how do we determine if the dilatation enlarged or reduced the figure?
Look at pre-image (ie: ABC) and compare it to image (ie: A'B'C'). If the image is smaller, the dilatation reduced the figure; if larger, dilatation enlarged the figure.
What does orientation mean?
The direction the image is facing (upside down, right side up, left, right, etc.)
What are the coordinates of the pre-image A given that A' is (8, -7) and it was translated 6 units down and 3 units left?
A(14,-4)
Triangle ABC: <A = 14 degrees, AB = 12, <C = 20
Triangle XYZ: <Y = 20, XZ = 12, <X = 14
Are they congruent?
If so, give their correct naming order and which theorem proves their congruency. (Triangle ABC congruent to...)
ABC congruent to XZY by SAA
A(7, -3) is first reflected over the x-axis, then reflected over the y-axis. What is A''?
A(7, -3) -> A'(7, 3) -> A"(-7, 3)
What is the difference between the multiplier of an enlargement versus the multiplier of a reduction?
Enlargement is a dilation by a number bigger than 1, Reduction is a dilation by a number between 0 and 1.
What is a coordinate or ordered pair?
Be as specific as possible.
Directions of how to plot a specific point by starting at the origin, then moving left/right and finally moving up/down