Section 1
Preview this deck
Radius
Front
| 5 | 0 | ||
| 4 | 0 | ||
| 3 | 0 | ||
| 2 | 0 | ||
| 1 | 0 |
Active users
0
All-time users
0
Favorites
0
Last updated
6 years ago
Date created
Mar 1, 2020
Cards (101)
Section 1
(50 cards)
Radius
A straight line from the center to the circumference of a circle or sphere.
perpendicular bisector
A line that is perpendicular to a segment at its midpoint.
perpendicular
Intersecting at or forming right angles
diagonal
A line segment connecting non-adjacent vertices of a polygon.
linear pairs
Adjacent sides form a line.
circle
Set of points that are a fixed distance from a given point called the center
Basic Rigid Motion
a rotation, reflection, or translation of the plane. Basic rigid motions are examples of transformations
bisector
A ray that divides an angle into two congruent angles
Angle-Preserving
the images of any angle is again an angle and for any given angle, the angle measure of the image of that angle is equal to the angle measure of the re-image of that angle.
obtuse angle
An angle that measures more than 90 degrees but less than 180 degrees
degree
A unit used to measure distances around a circle. One degree equals 1/360 of a full circle.
segment
The line between A and B
ray
A part of a line, with one endpoint, that continues without end in one direction
Length of a segment
Distance between its endpoints.
triangle
A polygon with three sides.
Parallelograms
a quadrilateral with both pairs of opposite sides parallel
circumcenter
the point of concurrency of the perpendicular bisectors of a triangle
alternate interior angles
angles between 2 lines and on opposite sides of a transversal
similar
alike
right angle
an angle that measures 90 degrees
congruent angles
angles that have the same measure
intersection
A point where lines intersect.
property of equality POE
When you add, subtract, multiply, or divide the same value to both sides of the equation to keep it balanced
interior angles
angles on the inside of parallel lines cut by a transversal
angle
A figure formed by two rays with a common endpoint
isosceles triangle
A triangle that has 2 equal sides.
theorem
A mathematical statement which we can prove to be true
vertex
A point where two or more straight lines meet.
exterior angles
angles on the outside of parallel lines cut by a transversal
complementary angles
Two angles whose sum is 90 degrees
circumcenter of the triangle
The point of concurrency of the perpendicular bisectors of a triangle
Collinear
Points that lie on the same line
Relative Maximum
A point on the graph of a function where no other nearby points have a greater y-coordinate.
adjacent angle
Angles that have a common side and a common vertex (corner point).
quadrilateral
A four-sided polygon.
perpendicular
Intersecting at or forming right angles
concurrency
When 3 or more lines intersect at one point
Distance-Preserving
the distant between the images of two points is always equal to the distant between the pre-images of the two points
midpoint
A point that divides a segment into two congruent segments
line
1. A long thin mark on a surface. 2. A continuous extent of length, straight or curved, without breadth or thickness; the trace of a moving point. 3. Long, narrow mark or band.
proofs
used with a statement and supported by a reason
parallel lines
lines in the same plane that never intersect
transversal
equidistant
the same distance from two or more objects
incenter
Angle bisectors the point of concurrency of the angle bisectors of a triangle
vertical angles
A pair of opposite congruent angles formed by intersecting lines
Equilateral Triangle
A triangle with three congruent sides
concurrency
When 3 or more lines intersect at one point
acute angle
an angle that measures less than 90 degrees
corresponding angles
Angles in the same place on different lines
Section 2
(50 cards)
Non-Rigid Transformation
Transformation like a dilation that does not maintain size and shape.
Hypotenuse
the side of a right triangle opposite the right angle
Multiplication Property of Equality
If equal quantities are multiplied by equal quantities, then the products are equal. If m<ABC = < XYZ, then 2 (m<ABC) = 2(m<XYZ)
Scale drawing
Is a drawing that is similar to an actual object, or place. Floor plans, blue prints, and maps are all examples of scale drawings.
altitude
A perpendicular segment from a vertex to the line containing the opposite side
Translation
A shift of a graph horizontally, vertically, or both, which results in a graph of the same shape and size, but in a different position.
Correspondence
congruence
SAS
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
perfect square
Numbers whose square roots are integers.
AAA
Three pairs of congruent angles
Symmetric Property
if a=b then b=a
SSA
Two pairs of congruent side and one pair of congruent angles (angles not between the pairs of sides)
Pythagorean Theorem
a²+b²=c²
Partition Property (includes "Angle Addition Postulate, "Segments add, " Betweenness of Points," etc..
A whole is equal to the sum of its parts
Division Property of Equality
If equal quantities are divided by equal quantities, then the quotients are equal. If AB = XY, then AB/2 = XY/2
Rotation
CIRCULAR MOVEMENT AROUND AN AXIS
Pythagorean theorem
a²+b²=c²
Slope
Rise over run
Midsegment
a segment joining the midpoints of two sides of a triangle
Right Angle or 90 degree
90 degree angle
irrational number
a number that can NOT be expressed as a ratio of two integers or as a repeating or terminating decimal - Pi or any square root of an imperfect square are considered irrational
Graph of f
If it's above 0, function is increasing. If it's below 0, function is decreasing. Where it hits 0
Rigid Transformation
Movements of figures that preserve their shape and size
Composition
- manner of being composed; structure
Transformation
A movement of a geometric figure
median
A measure of center in a set of numerical data. The median of a list of values is the value appearing at the center of a sorted version of the list - or the mean of the two central values if the list contains an even number of values.
Sequence
the order in which things happen or should happen
Intersect
cross
Reflections
flipping motions
Relative Minimum
A point on the graph of a function where no other nearby points have a lesser y-coordinate.
ASA
Angle side angle two pairs of congruent angles and one pair of congruent sides. (side between the pairs of angles)
Dilation
A transformation that changes the size of an object, but not the shape.
Compostion
something made up or put together
Addition Property of Equality
If a = b, then a + c = b + c
Subtraction Property of Equality
..If equal quantities are subtracted from equal quantities, the difference are equal.
SSS
3 sides of one triangle are congruent to 3 sides of another triangle
Reflexive Property
A quantity is congruent (equal) to itself. a = a
Similar Triangle
triangles with equal corresponding angles and proportional corresponding sides. If 2 triangles have 2 pairs of equal angles you know they are similar triangles.
Even function
graph is symmetrical with respect to the y-axis; f(x) = f(-x)
Line Symmetry
If an object can have a line drawn down the center and both sides are congruent, then the object has line symmetry.
SAA
Two pairs of congruent angles and one pair of congruent sides (sides not between the pairs of angles)
Rotational Symmetry
If you can rotate an object less than 360 degrees and the object looks like it did before you turned it, then the object has rotational symmetry.
Transitive Property
If a = b and b = c, then a = c.
Substitution Property of Equality
A quantity may be substituted for its equal. If DE + CD = CE and CD = AB, then DE+ AB = CE
Odd Function
A function with a graph that is symmetric with respect to the origin. A function is odd if and only if f(-x) = -f(x).
Congruence
consistency between therapist's feelings and actions
Graph of y = f (x)
Given a function f whose domain D and the range are subsets of the real numbers, the graph of y= f(x) is the set of ordered pairs (x,y) in the Cartesian plane given by {(x,y)| x *D and y = f(x)}
Vector
a vector is a directed line segment that has both length and direction.
Scale factor
The ratio of any two corresponding lengths in two similar geometric figures.
Symmetry
having the same shape, size, and position on both sides of a dividing line
Section 3
(1 card)