Studied by 8 peoplePoint of intersection
The intersecting lines share a common point, which exists on all the intersecting lines.
solution
A value or values which, when substituted for a variable in an equation, make the equation true.
equation
a statement that the values of two mathematical expressions are equal
X-intercepts
The x-intercept is where a line crosses the x-axis
Line of symmetry
The line that divides a shape or an object into two equal and symmetrical parts.
slope
A measure of its steepness.
rate of change
The percentage change in value over a defined period of time.
Y-intercept
The y-intercept is the point where the line crosses the y-axis.
slope-intercept form
The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
point-slope form
An equation of a line written using one point on the line and the slope of the line.
point
A point is represented by a dot (.) and is used to tell exact location in space.
line
A straight one-dimensional figure having no thickness and extending infinitely in both directions.
plane
A two-dimensional doubly ruled surface spanned by two linearly independent vectors.
collinear
Three or more points , , , ..., are said to be collinear if they lie on a single straight line.
coplanar
Points or lines are said to be coplanar if they lie in the same plane.
intersection
When two or more lines cross each other in a plane.
line segment
a piece or part of a line having two endpoints.
congruent segments
segments that have the same length.
ray
a vector from a point to a point
opposite ray
if. (1) they have the same endpoint, and. (2) their union is a line.
angle
An angle is formed when two straight lines or rays meet at a common endpoint.
side
An aspect of a geometrical shape.
vertex
A special point of a mathematical object, and is usually a location where two or more lines or edges meet.
interior
An object inside a geometric figure, or the entire space inside a figure or shape.
exterior
The angle between a side of a polygon and an extended adjacent side.
degree
A unit of measure is used to measure the magnitude of an angle.
right angle
When two straight lines intersect each other at 90˚ or are perpendicular to each other at the intersection
acute angle
less than 90 degrees.
obtuse angle
more than 90 degrees.
angle bisector
the line or line segment that divides the angle into two equal parts.
adjacent angles
when they share the common vertex and side.
linear pair
Formed when two lines intersect each other at a single point.
vertical angles
the angles opposite each other when two lines cross. "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down.
complementary angles
when their measures add to 90 degrees.
supplementary angles
when their measures add up to 180 degrees.
perpendicular lines
lines that intersect at a right (90 degrees) angle.
parallel lines
lines in a plane that are always the same distance apart.
skew lines
Two or more lines which have no intersections but are not parallel.
parallel planes
Two planes that do not intersect
transversal
A line that passes through two lines in the same plane at two distinct points in the geometry.
interior angles
An angle inside a shape.
exterior angles
An angle outside the shape
consecutive interior angles
Two angles that are on the same side of the transversal.
alternate interior angles
the angles formed when a transversal intersects two coplanar lines.
alternate exterior angles
the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.
corresponding angles
the angles which occupy the same relative position at each intersection where a straight line crosses two others.
radical
The √ symbol that is used to denote square root or nth roots.
radicand
A number or expression inside the radical symbol.
coefficient
A number multiplied by a variable.
like radicals
Radicals that have the same root number AND radicand
unlike radicals
radicals differing in either the radicand or index.
square root
a factor of a number that, when multiplied by itself, gives the original number.
perfect square
When you multiply an integer (a “whole” number, positive, negative or zero) times itself.
distance
The length along a line or line segment between two points on the line or line segment.
length
the term used for identifying the size of an object or distance from one point to the other.
midpoint
the point on a line that is at an equal distance from either end.
segment bisector
divides the line segment into 2 equal parts.
pythagorean theorem
The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle.
scalene triangle
a triangle whose all three sides have different lengths, and all three angles are of different measures.
isosceles triangle
a triangle in which two sides have the same length.
equilateral triangle
a triangle that has all its sides equal in length.
equiangular triangle
A triangle with three equal interior angles
acute triangle
A type of triangle in which all the three internal angles of the triangle are acute.
obtuse triangle
A triangle in which one of the interior angles measures more than 90° degrees.
right triangle
A triangle in which one of the interior angles is 90°
triangle-angle sum theorem
the sum of interior angles of a triangle is 180°.
triangle exterior angle
formed when one side of a triangle is extended.
theorem
a statement which has been proved true by a special kind of logical argument called a rigorous proof.
triangle inequality
describes the relationship between the three sides of a triangle.
Note
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