TRANSLATIONS
What is a translation?
A translation is a transformation that slides/moves every point of a shape the same distance and same direction
Describe how the coordinates of the image compare to the pre-image after a reflection across the x-axis?
A reflection over the x-axis flips the shape over the x-axis, changing the sign of the y-coordinate.
In which Quadrant would a figure be located in after a rotation of 90° counterclockwise if the pre-image is in Quadrant 3?
Quadrant 4
How can you determine if two figures on a coordinate plane are congruent?
Same size, same shape through a sequence of transformations
What color are Mr. Olsen's eyes?
Hazel
The location of the point (2, 3) translated 5 units to the right and 2 units up?
The new point would be (7, 5).
If the point (4, -3) is reflected over the y-axis, what are the coordinates of its image?
The coordinates of the image would be (-4, -3).
If the point (1, 2) is rotated 180° around the origin, what are the coordinates of new position?
The new position would be (-1, -2).
List three transformations that do not change congruence.
Translations, reflections, and rotations.
This is Mr. Olsen's dream car.
Toyota Camry
If a shape is translated 3 units left and 4 units down, what is the new position of the point (1, 5)?
The new position would be (-2, 1).
vertical
What are the new coordinates of (-3, 4) after a rotation 270° clockwise?
To rotate (-3, 4) 270° clockwise, it becomes (-4, -3).
Explain how you can determine if two shapes are congruent after a series of transformations.
By checking if all points move the same distance and same direction
Mr. Olsen's daughter spent Spring Break in what countries?
The Netherlands and France
Which quadrant would the point be located in after translating right 2 units and down 4 units from the origin?
Quadrant 4
Which Quadrants does the line of reflection y = x pass through?
Quadrants 1 and 3
In which Quadrant would (x, y) be located after a 90° rotation counterclockwise
Quadrant 2
Why are translations, reflections, and rotations considered rigid transformations?
Because they maintain the original size and shape of the figure.
This is the name of the city that Mr. Olsen lived in South Carolina.
Fountain Inn
Describe how translations affect the congruence of shapes.
Translations do change congruence because they do not change the size or shape of the figure.
Do reflections effect congruence? Explain.
No, reflections do not alter the shape or size of the figure.
How do rotations affect the congruence of shapes?
Rotations preserve congruence because they do not change the size or shape of the figure.
Does changing the orientation also keep the congruence of a figure? Explain.
Yes. Changing the orientation is only change the way it faces and keeps the same size and shape of the figure.
If Mr. Olsen left teaching and opened a casino, what would the name of the casino be?
Big Olsen's Casino
(The Big O.C.)