Definitions and
Properties
Properties
Translations
Rotations
Reflections
Random Questions
100
What are the 3 types of rigid transformations?
translations
rotations
reflections
100
What is a translation in math?
Moving from one position to another, but not spinning or flipping.
100
What is a rotation in math?
Spinning or turning a shape around a vertex or point of rotation
100
What is a reflection in math?
When a shape is flipped across a line of reflection
100
5 x (6 + 11)
85
200
True or False:
When a shape is rotated, reflected, or translated, the new (image) is a different size and shape than the original (pre-image)
False.
When a shape is rotated, reflected, or translated, the image is the same size and shape as the pre-image.
200
Describe this translation using normal words:
l words
Triangle ABC moves to the right 7 spaces.
200
Describe this rotation:
Triangle ABC is rotating 90 degrees counterclockwise
200
Describe this reflection (how or where is it reflecting?)
Triangle ABC is reflecting over the y-axis.
200
What percent of your grade are quizzes?
30%
300
What are the 2 pieces of information we need to include when describing a rotation
1. How many degrees in the rotation
2. Which direction (clockwise or counterclockwise)
300
Describe this translation using (x, y) notation:
(x, y) --> (x + 6, y - 4)
300
Describe the difference between a 90 degree rotation and a 180 degree rotation. If you can't use words, draw an example.
A 90 degree rotation turns the shape sideways or "1 turn"
A 180 degree rotation turns the shape backwards or "2 turns"
300
Describe this reflection:
Point A is reflecting over the x-axis
300
62 - (10 * 4 - 4)
0
400
Where is this translation telling us to go?
(x, y) --> (x + 2, y - 1)
Move to the right 2 spaces and down 1 space
400
What is this translation telling you to do:
(x, y) --> (x - 6, y)
Move 6 units to the left and do not move up or down.
400
What do the words clockwise and counterclockwise mean? Why do we use those words instead of just left or right?
Clockwise means to rotate in the direction a clock moves. Counterclockwise means to rotate in the opposite direction. We use these words instead of left and right because left or right might change depending on what part of the shape you're looking at.
400
Describe in words how to exactly reflect a shape across a line of reflection
Count the number of squares between a point on the shape and the line of reflection, then place the new point exactly that many squares across. Do this for all the points on the shape.
400
A shape is reflected over the x-axis, then the y-axis. What other transformation would result in a similar result?
180 degree rotation.
OR
depending on the shape, it could be a translation
500
What is the only type of transformation that describes a change in size? (HINT: We have not really practiced with this one)
Dilation
500
On your whiteboard, draw the following:
1. Draw a small triangle in Quadrant II (the upper left quadrant). Label the triangle T.
2. Translate the triangle by (x, y) --> (x + 3, y - 5). Label the new triangle T prime.
Answers may vary.
500
Rotate this shape 90 degrees clockwise around the origin:
Answers will vary, but the triangle will be "pointing" downward and in the bottom right quadrant.
500
Reflect this shape over the y-axis:
The "fish" will be moved to the right and flipped around. It will face to the left.
500
A line is 14 meters long. It is dilated by a factor of 20 times. How long do you think the new line is
280 meters