Reflections
What is a reflection?
a reflection is a type of mathematical transformation of a figure that results in its mirror image.
What is a rotation?
Rotation is a geometric transformation that involves rotating a figure a certain number of degrees about a fixed point. A positive rotation is counterclockwise and a negative rotation is clockwise.
The point at (-3, 3) is point A. The translation asks to move the shape 4 units right and 5 down. What is the location of the A'?
(1,-2)
6 sides of a shape?
Hexagon
What is the reflection of symmetry?
A reflection in the coordinate plane is just like a reflection in a mirror. Any point or shape can be reflected across the x-axis, the y-axis, or any other line, invisible or visible. This line, about which the object is reflected, is called the "line of symmetry."
A rotation is a mirror image. True or False?
True
The point (4, -1) is labeled B. The translation asks for a shift of 3 units to the left and 3 up. What is the location of B'?
(1,2)
7 sides of a shape?
Heptagon
What are 3 basic transformations?
There are three basic transformations: translation (sliding the line around), reflection (flipping the line), and scaling (stretching the line). You can move (transform) the line vertically or horizontally. If you are moving the line vertically, all transformations will be outside of the function.
Rotations can go over any axis. True or false?
True
This shape is being reflected in the y-axis. The top left point (-4, 4) is point B. Where would B' be located at?
(4,4)
8 sides of a shape?
Octagon
How many degrees do you need to rotate paper?
90, 180, and 270 degrees
Rotations are ALWAYS needed for finding a translation. True or false?
False
What does slide mean?
Translation
9 sides of a shape?
Nonagon
What does flip mean?
Reflection
A point at (-4, 7) is rotated -90° about the origin. What are the new coordinates for the point?
(4, -7)
The triangle is being reflected in the x-axis. The bottom right point (4, 2) is point C. Where would the location of C' be?
(4,-2)
10 sides of a shape?
Decagon