# Study sets matching "pythagorean theorem"

Study sets

Classes

Users

point

line

plane

Collinear

names a location and has no size

a straight path that has no thickness and extends forever

a flat surface that has no thickness and extends forever

Points that lie on the same line

point

names a location and has no size

line

a straight path that has no thickness and extends forever

1-1-1

1-1-2

1-1-3

1-1-4

Through any two points, there is exactly one line

Through any three non collinear points there is exactly one pl…

If two points lie in a plane, then the line containing those p…

If two lines intersect, then they intersect in exactly one poi…

1-1-1

Through any two points, there is exactly one line

1-1-2

Through any three non collinear points there is exactly one pl…

Distance Formula

Slope

Slope Intercept

Midpoint Formula

d=√(x₁-x₂)² + (y₁-y₂)² ... (EX: Find distance between (5,6) and…

Slope= Rise/Run=Change in Y/Change in X... (y₂-y₁/x₁-x₂)... (EX: F…

y=mx+b... Ex: y=2/3x + 5

(x₁+x₂)/2, (y₁+y₂)/2

Distance Formula

d=√(x₁-x₂)² + (y₁-y₂)² ... (EX: Find distance between (5,6) and…

Slope

Slope= Rise/Run=Change in Y/Change in X... (y₂-y₁/x₁-x₂)... (EX: F…

Supplementary angles

isosceles triangle

scalene triangle

equilateral triangle

Two angles whose sum is 180 degrees

A triangle that has 2 equal sides.

a triangle with no congruent sides

A triangle with three congruent sides

Supplementary angles

Two angles whose sum is 180 degrees

isosceles triangle

A triangle that has 2 equal sides.

domain

range

quadrant

mapping

a relation is the set of all first coordinates (x-coordinate)…

is the set of all second coordinates (y-coordinates) from the…

the axes meet at the origin (0,0) and divide the plane into fo…

illustrates how each element of the domain is paired with an e…

domain

a relation is the set of all first coordinates (x-coordinate)…

range

is the set of all second coordinates (y-coordinates) from the…

Angle Angle Similarity

Acute Angle

Adjacent Angle

Alternate Interior Angle

Way to prove that two triangles are similar

An angle that measures less than 90 degrees but more than 0 de…

Two angles that have a common side and a common vertex and don…

The pairs of angles on opposite sides of the transversal but i…

Angle Angle Similarity

Way to prove that two triangles are similar

Acute Angle

An angle that measures less than 90 degrees but more than 0 de…

Absolute value

Acute Angle

Additive identity

Additive inverse property

A number's distance from zero (0) on a number line.

An angle with a measure of less than 90 degrees.

The number (0), that is, adding 0 does not change a number's v…

A number and its additive inverse have a sum of zero (0) (e.g.…

Absolute value

A number's distance from zero (0) on a number line.

Acute Angle

An angle with a measure of less than 90 degrees.

Cartesian Plane

X-axis

Y-axis

Origin

Named after Rene Descartes, formed using two real number lines…

The horizontal real number line

The vertical real number line

The point of intersection of the two axes

Cartesian Plane

Named after Rene Descartes, formed using two real number lines…

X-axis

The horizontal real number line

slope of a line

X to the 2nd power > 0 (always!)

X to the zero power = 1 (always!)

mean

Rise... -----... Run... y₂-y₁... --------- ... x₂-x₁

X to the 2nd power is always greater than zero

X to the 0 power is always equal to 1

Average

slope of a line

Rise... -----... Run... y₂-y₁... --------- ... x₂-x₁

X to the 2nd power > 0 (always!)

X to the 2nd power is always greater than zero

Polygon

Vertices

Triangle

Sides (of a polygon)

A closed figure with three or more sides

Endpoints of the sides of a polygon

The simplest type of polygon, with three sides and three angle…

The line segments, labeled by their endpoints, that make up th…

Polygon

A closed figure with three or more sides

Vertices

Endpoints of the sides of a polygon

Through any 3 noncollinear points there…

Calculating midpoint formula with 2 poi…

Calculate midpoint with 2 points on a g…

Distance formula

1

A+B/2

X1+X2/2, Y1+Y2/2

d = /(x₂ - x₁)² + (y₂ - y₁)²

Through any 3 noncollinear points there…

1

Calculating midpoint formula with 2 poi…

A+B/2

Angle

right angle

acute angle

obtuse angle

A figure formed by two rays with a common endpoint

an angle that measures 90 degrees

an angle that measures less than 90 degrees

An angle that measures more than 90 degrees but less than 180…

Angle

A figure formed by two rays with a common endpoint

right angle

an angle that measures 90 degrees