TRANSLATIONS
What is the rule for a translation that moves right 5, up 3?
(x + 5, y + 3)
Describe what happens to the x and y coordinates 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.
X stays the same, Y changes
if the pre-image is in Quadrant 3, in which Quadrant would a figure be located in after a rotation of 90° counterclockwise?
Quadrant IV
How can you determine if two figures on a coordinate plane are congruent?
Same size, same shape, same angles
What's Ms. Kaemmerer's favorite animal?
Sloth
What is the rule for a translation that moves down 6, right 4?
(x + 4, y - 6)
If I reflect a coordinate over the y axis? What is the new rule for the image?
(x, y) ➡️ (-x, y)
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 the three transformations that preserve congruence.
Translations, reflections, and rotations.
What's Ms. Kaemmerer's favorite food?
Sushi
What is the rule for a translation that moves up 7 and left 3?
(x - 3, y + 7)
If I reflect a coordinate over the x axis what is the rule for the new point?
(x, y) ➡️ (x, -y)
What is the rule for a 90 degrees clockwise rotation?
(x, y) ➡️ (y, -x)
Describe how translations affect the congruence and orientation of shapes.
Congruence and orientation are both preserved
What is Ms. K's favorite flower?
Sunflower
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).
Which axis is the vertical axis? X or Y?
Y Axis
In which Quadrant would (3, 5) be located after a 270° rotation clockwise?
Quadrant II
For rotations, are the pre image and image congruent? Is orientation preserved?
Rotations preserve congruence because they do not change the size or shape of the figure, and orientation is also preserved
How long has Ms. K taught?
5 years, this is the beginning of year 6
The location of the point (2, 3) translated 4 units to the right and 1 units down?
The new point would be (6, 2).
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).
What are the new coordinates of (-3, 4) after a rotation 270° clockwise?
To rotate (-3, 4) 270° clockwise, it becomes (-4, -3).
For reflections, are the pre image and image congruent? Is orientation preserved?
Yes they are congruent, No the orientation is not preserved
What is Ms. K's favorite sport?
Soccer