Transforming Shapes
Name the 3 types of rigid transformations.
translation, rotation, reflection
When an angle is translated, rotated or reflected, does this change the wideness of the angle?
Draw two congruent shapes on the board.
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For y = -3x, what is the constant of proportionality?
-3
What is the definition of a "rigid transformation"?
A transformation that does not alter the figure's shape or size.
When a line is rotated 180 degrees around its midpoint, where will it end up?
Exactly where it was before.
Draw two non-congruent shapes on the board.
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Describe the difference between a PRISM and a PYRAMID.
Prism - a shape pushed through space.
Pyramid - a shape with a base, that comes to a point.
A rotation of 270 degrees clockwise is the same as a _____ degree rotation ______________.
90 degree rotation counterclockwise
When a line is rotated 180 degrees around a point that is not on the line, where will it end up?
Parallel to the original line and the same distance from the point of rotation as the original line was from the point of rotaiton.
Congruent images must be both the same _______ and ________.
size and shape
What is the difference between AREA and VOLUME?
Volume - the amount of space inside a 3d shape.
When rotating a shape 180 degrees, does it matter which direction you rotate it? (i.e. clockwise vs counterclockwise?)
True or False: A line by definition (in math) goes forever and ever in both directions.
True
Are all circles congruent to each other?
No - circles are always the same shape, but they can be different sizes.
What is the formula for the area of a circle?
A = pi x r2
Name two other words that mean the same as "reflection."
mirror, flip, etc.
When a line SEGMENT is transformed by a rigid transformation (translation, reflection and/or rotation), will it change it's size?
No - it will remain the same size after any rigid transformation.
Will ANY pre-image figure that goes through one or more rotations, reflections and/or translations ALWAYS be congruent to its image?
Yes!
Solve for x:
-4x < 20
x > -5