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A plane figure that can be folded along a line so the two parts match.
It is a transformation that flips a figure over a line of reflection.
It is a transformation that turns a figure about a fixed point.
a movement on the cartesian plane
If you can rotate (or turn) a figure around a center point by fewer than 360° and the figure appears unchanged, then the figure has rotation symmetry.
Not identical on either side of a central line
When one half is a mirror image of the other half.
Axis of Symmetry
a line that divides a parabola in two equal halves and goes through the vertex
line of symmetry
The line that divides two matching parts. It can be vertical, horizontal, or diagonal.
It is a transformation that moves points the distance and in the same direction.
line of reflection
The line over which a figure is reflected. The vertices of the original and new figure are the same distance from this. The line of reflection can be the x-axis, the y-axis, or any line on the coordinate plane.
90 rotatipn counter clockwise around the orgin
The coordinates switch and negate the second one
(X,Y) to (-X,-Y)
270 clockwise and 90 counterclockwise
Negate the first one (X,Y) to (-X,Y)
a transformation that does not change the size or shape of a figure
Can be rotated less than 180 degrees around a point that maps the figure onto itself
Point of symmetry
Rotational symmetry of exactly 180 degrees(looks the same upside down)
a transformation that changes the size of an object, but not the shape
What degree is rotating a quarter turn?
What degrees is rotating three quarters turn?
What degrees is rotating a half turn?
Change the y coordinates to the opposite (x,y)-(x,-y)
How do you preform a reflection across the x-axis?
How do you preform a reflection across the y-axis?
Change the x coordinates to the opposite (x,y) (-x,y)
Swap the x and y values
How do you preform a reflection across the y=x?
1.label the coordinates
How do you preform a reflection across the y=-x axis?
How do you preform a dilation?
Multiply the coordinates by the scale factor
What does the graph y=x look like?
A line going straight through(0,0) from the bottom left to the top right
What does the y=-x look like?
A line going straight through(0,0) from the top left to the bottom right
Direction w/ Quantities
Two vectors w/ the same length and direction
goes 1 unit to the right
goes 1 unit up
Refers to a general isometry
object that supports the pendulum
the figure moves the opposite direction as a clock
the figure moves the same direction as a clock moves
No change in orientation
Changes the orientation
All translations are...
Two numbers that are an equal distance from zero on a number line; also called additive inverse.
the direction in which an figure is facing
The product of any number and one is that number.
An isometry that fixes to exactly one point is the product of two...
Every isometry is either the...
identity, a reflection, or the product of 2 or 3 reflections
translation (find V)
The product of rotations with angles that is a multiple of 360 degrees is...
rotation (find C)
The product of rotations with angles that are not multiples of 360 degrees is...
rotation of alpha with a different center
The product of a translation and a rotation of alpha is a...
The product of a translation and a reflection when the vector and line are parallel...
A triangle with three acute angles.
A triangle with one obtuse angle.
A triangle with one right angle.
A triangle with no congruent sides
At least two sides of a triangle are congruent.
Triangle with a 90° angle
A parallelogram with 4 right angles
a parallelogram with four equal sides and equal opposite angles.
a closed figure made by joining line segments where each line segment intersects exactly 2 others
a convex polygon in which all sides and angles are congruent
A polygon with 4 sides and 4 angles.
a 5 sided polygon
a 6-sided polygon
A 7-sided polygon
an 8-sided polygon
a 9-sided polygon
a 10-sided polygon