Transformation Rules
What is congruency?
What is the shape stays the same size?
In translations, do the vertices maintain congruence? Explain
Yes, they only slide and do not reflect.
Do the vertices stay the same in reflection? Explain
What is no. They have a mirror image so they are opposite.
Do dilations maintain maintain congruence? Explain
No, they get bigger or smaller.
Do rotations maintain congruence?
Yes
Does the coordinate grid I, II, III, IV go clockwise or counter clockwise?
What is counter clockwise?
Which way does the figure move with the rule (x, y-2)
2 down
Do the side lengths stay the same in reflection?
What is yes?
Will this get bigger or smaller? and why.
(x,y) —-- (.2x, .2y)
Smaller, it is multiplied by a number smaller than 1
Do the vertices stay the same in rotations?
Yes
What is the only type of transformation that is not maintain its congruency?
What are dilations?
Which direction does the figure move with the rule: (x-2, y+1)
2 left and one up
Does x or y change when you reflect across y?
The x changes.
In dilations, do the vertices stay the same? explain.
Yes. They don't change order, the sides just grow or shrink.
How many degrees does each translation change?
90
Which two transformations maintain congruency and the vertices do not change?
What are rotations and translations?
What does the rule: (x, y) - (x+3, y) represent
3 right
Does the x or y change when it is reflected across the x?
The y changes.
In dilations, do the side lengths stay the same? Explain.
No, the grow or shrink.
If I start in quadrant I, I can rotate by direction and degree.(For example 90 degrees counter-clockwise or 180 degrees clockwise)
Which two rotations would get me to quadrant IV? (Be sure to name direction and degree for each rotation)
90 clockwise and 270 counter clockwise
or 90 counter clockwise with 270 clockwise
Which type of 2 types of transformations never change their orientation?
What are dilations and translations?
Which direction does the figure move with the rule: (x +1, y)
Move right 1 unit.
If figure is in quadrant I and is reflected across the y axis, what quadrant will it be in?
quadrant II
A figure is going to be dilated by a scale factor of k. to find the side of my new figure, I multiply my x and my y by k. What do I do to find the new area?
You multiply the area by scale factor squared (k2)
If something is in quadrant I and is rotated clockwise 90 degrees what is the rule?
(y, -x)