Coordinate Basics
What points are the origin of the quadrant?
The (0,0) point.
What is a translation?
A slide of a shape to a new position without turning or flipping.
What is a reflection?
A flip over a mirror line or line of reflection.
What is a rotation?
A turn around a fixed point.
True or False: A transformed shape can be larger than the original.
False, the size of a transformed shape doesn't change.
What are the coordinates of point A (3, 2) if you move 2 units right and 1 up?
(5, 3)
If I move a triangle 3 units left and 2 units up, what is this called?
A translation.
If a shape is reflected, what is the new shape called?
The image.
How many degrees is a quarter turn?
90 degrees.
Describe the change: (2,2) to (5,2).
Translated 3 unite to the right.
coordinates of point A (3, 2) if you move 2 units right and 1 up?What is the term for the first number in (x, y)?
The x-coordinate (or horizontal distance).
A point at (2, 2) moves to (5, 6). Describe the translation.
3 units right, 4 units up
A point at (1, 4) is reflected over a vertical mirror line at x=3. Where is the new point?
(5, 4) (The distance from x=1 to x=3 is 2; it must move 2 more units to the right).
If a circle rotates around a fixed point in the middle, does its position on the grid change?
No
If a shape is rotated 360 degrees, where does it end up?
In its original position.
If you plotted point (0, 5) which axis would it be on?
On the y-axis (because x is 0)
Translate square ABCD with vertices (1,1), (3,1), (3,3), (1,3) by 2 units up and 4 right.
New vertices: (5,3), (7,3), (7,5), (5,5)
How does a reflected shape differ from a translated one?
The orientation changes (faces the opposite direction), but size/shape stay the same.
How many degrees must a shape rotate for it to return to its original position/location?
360 degrees.
What order do we read coordinates? (Y, X) or (X, Y)?
X, Y
Without plotting the points for square ABCD, if point A is located at (3,5), point B is located at (3,9) and point C is located at (7,5), what are the coordinates of point D?
(7,9)
True or false: When shapes on a coordinate plane are translated, they sometimes rotate.
False, translations move shapes across the coordinate plane, but do not involve rotations.
True: reflections flip the image. For example, when you are looking in a mirror, what you see on your left is actually your right.
Why do rotations always happen in 90 degree increments (in Grade 5 Geometry)?
Because each 90 degree rotation lines up with each of the 4 quadrants of the cartesian plane.
Name 3 shapes that reflect an identical image to the original.
Answers vary (square, diamond, equilateral triangle, rectangle...)