Transformations

Transforming Shapes

100

Name the 3 types of rigid transformations.

translation, rotation, reflection

200

What is the definition of a "rigid transformation"?

A transformation that does not alter the figure's shape or size.

300

A rotation of 270 degrees clockwise is the same as a _____ degree rotation ______________.

90 degree rotation counterclockwise

400

When rotating a shape 180 degrees, does it matter which direction you rotate it? (i.e. clockwise vs counterclockwise?)

No - the shape will end up in the same place no matter which direction you rotate it, IF the angle of rotation is 180 degrees.

500

Name two other words that mean the same as "reflection."

mirror, flip, etc.

Parallel Lines and Angles

100

When an angle is translated, rotated or reflected, does this change the wideness of the angle?

No

200

When a line is rotated 180 degrees around its midpoint, where will it end up?

Exactly where it was before.

300

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.

400

True or False:  A line by definition (in math) goes forever and ever in both directions.

True

500

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.

Congruency

100

Draw two congruent shapes on the board.

......

200

Draw two non-congruent shapes on the board.

......

300

Congruent images must be both the same _______ and ________.  

size and shape

400

Are all circles congruent to each other?

No - circles are always the same shape, but they can be different sizes.

500

Will ANY pre-image figure that goes through one or more rotations, reflections and/or translations ALWAYS be congruent to its image?

Yes!

7th Grade Review

100

For y = -3x, what is the constant of proportionality?

-3

200

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.

300

What is the difference between AREA and VOLUME?

Area - the amount of space inside a 2d (flat) shape.

Volume - the amount of space inside a 3d shape.

400

What is the formula for the area of a circle?

A = pi x r²

500

Solve for x:  

-4x < 20

x > -5