9th grade geometry math terms by

solve

tbetsa — 2023-08-21 14:35:20 UTC

to work out the answer

prediction

tbetsa — 2023-08-21 14:35:20 UTC

a statement about the way things will happen in the future, often but not always based on experience or knowledge

modeling

tbetsa — 2023-08-21 14:35:20 UTC

the process of representing real life situations through equations or inequalities

evaluate

tbetsa — 2023-08-21 14:35:20 UTC

to solve or find the value of an expression

estimate/estimation

tbetsa — 2023-08-21 14:35:20 UTC

to guess closely; an answer that is close to the exact answer

different/difference

tbetsa — 2023-08-21 14:35:20 UTC

not the same

determine

tbetsa — 2023-08-21 14:35:20 UTC

to find or figure out

compute

tbetsa — 2023-08-21 14:35:20 UTC

to solve problems that use numbers

compare

tbetsa — 2023-08-21 14:35:20 UTC

to find how things are different or the same

analyze

tbetsa — 2023-08-21 14:35:20 UTC

examining parts to understand how they work together

y‐intercept

tbetsa — 2023-08-21 14:35:20 UTC

The value of y at the point where a line or graph intersects the y‐axis. The value of x is zero (0) at this point

y‐coordinate

tbetsa — 2023-08-21 14:35:20 UTC

The position of a point according to the y‐axis

y‐axis

tbetsa — 2023-08-21 14:35:20 UTC

The vertical number line on a rectangular coordinate system

x‐intercept

tbetsa — 2023-08-21 14:35:20 UTC

The value of x at the point where a line or graph intersects the x‐axis. The value of y is zero (0) at this point

x‐axis

tbetsa — 2023-08-21 14:35:20 UTC

The horizontal number line on a rectangular coordinate system

wider

tbetsa — 2023-08-21 14:35:20 UTC

Having greater distance from side to side

valid

tbetsa — 2023-08-21 14:35:20 UTC

Having a well‐founded, logical conclusion

undefined

tbetsa — 2023-08-21 14:35:20 UTC

A term used when a mathematical result has no meaning

trigonometric relationship

tbetsa — 2023-08-21 14:35:20 UTC

Describes a relationship between a side and angle of a triangle

transversal

tbetsa — 2023-08-21 14:35:20 UTC

A line that intersects two or more lines at different points

system of equations

tbetsa — 2023-08-21 14:35:20 UTC

Two or more equations containing common variable(s)

surface area

tbetsa — 2023-08-21 14:35:20 UTC

The total area of the exterior surface of a solid

supplementary angles

tbetsa — 2023-08-21 14:35:20 UTC

two angles that add up to give a straight angle, 180°

sum of measures

tbetsa — 2023-08-21 14:35:20 UTC

The result of adding measures together

squared

tbetsa — 2023-08-21 14:35:20 UTC

A number that has been multiplied by itself

square yard

tbetsa — 2023-08-21 14:35:20 UTC

A unit of measurement using squares that measure one yard on each side

square kilometer

tbetsa — 2023-08-21 14:35:20 UTC

A unit of area, equal to the area of a square with sides of one kilometer

slope‐intercept form

tbetsa — 2023-08-21 14:35:20 UTC

An equation of the form y = mx + b , where m is the slope and b is the y ‐intercept

slant height

tbetsa — 2023-08-21 14:35:20 UTC

The diagonal distance from the apex of a right circular cone or a right regular pyramid to the base

series

tbetsa — 2023-08-21 14:35:20 UTC

a group of related or similar things, arranged in succession; sequence

semi-circle

tbetsa — 2023-08-21 14:35:20 UTC

half of a circle

secant

tbetsa — 2023-08-21 14:35:20 UTC

a straight line that intersects a curve at two or more points

scalene

tbetsa — 2023-08-21 14:35:20 UTC

a triangle for which all three sides and all three angles are different

rotational symmetry

tbetsa — 2023-08-21 14:35:20 UTC

The shape can be rotated some amount and is still the same

right triangle

tbetsa — 2023-08-21 14:35:20 UTC

a triangle with one angle measuring 90°

right pyramid

tbetsa — 2023-08-21 14:35:20 UTC

a pyramid that has an axis perpendicular to its base

right cylinder

tbetsa — 2023-08-21 14:35:20 UTC

a cylinder that has centers of the bases that are aligned directly one above the other

rhombus

tbetsa — 2023-08-21 14:35:20 UTC

a parallelogram with four congruent sides

regular pentagon

tbetsa — 2023-08-21 14:35:20 UTC

a pentagon with five equal sides, and five equal angles

regular hexagon

tbetsa — 2023-08-21 14:35:20 UTC

a hexagon with six equal sides, and six equal angles

rectangular area

tbetsa — 2023-08-21 14:35:20 UTC

an area that has the shape of a rectangle

radicand

tbetsa — 2023-08-21 14:35:20 UTC

the number under the radical symbol (√)

proportion

tbetsa — 2023-08-21 14:35:20 UTC

a part to whole comparison the equality of two ratios written as an equation

properties of radicals

tbetsa — 2023-08-21 14:35:20 UTC

product property of radicals: for two real numbers x and y both nonnegative, .
quotient property of radicals: for two real numbers x and y both nonnegative, =

prism

tbetsa — 2023-08-21 14:35:20 UTC

a polyhedron that has two congruent and parallel faces joined by faces that are parallelograms. prisms are named by their bases

precise

tbetsa — 2023-08-21 14:35:20 UTC

exact or detailed

point of symmetry

tbetsa — 2023-08-21 14:35:20 UTC

a special center point for certain kinds of symmetric figures or graphs. if a figure or graph can be rotated 180° about a point P and end up as a mirror image to the original, then P is a point of symmetry

perpendicular bisector

tbetsa — 2023-08-21 14:35:20 UTC

the line perpendicular to a segment passing through the segment's midpoint

parent functions

tbetsa — 2023-08-21 14:35:20 UTC

a set of basic functions used as building blocks for more complicated functions

paraboloid of revolution

tbetsa — 2023-08-21 14:35:20 UTC

a surface obtained by revolving a parabola around its axis

orthocenter

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the point at which the three (possibly extended) altitudes of a triangle intersect

ordered pair

tbetsa — 2023-08-21 14:35:20 UTC

the location of a single point on a rectangular coordinate system where the first and second values represent the position relative to the x‐axis and y‐axis, respectively

order of operations

tbetsa — 2023-08-21 14:35:20 UTC

the order in which operations should be done

obtuse

tbetsa — 2023-08-21 14:35:20 UTC

an angle that measures more than 90° but less than 180°

oblique

tbetsa — 2023-08-21 14:35:20 UTC

tilted at an angle; neither vertical nor horizontal

negative intervals

tbetsa — 2023-08-21 14:35:20 UTC

intervals written as (x,y) where x is negative

midpoint formula

tbetsa — 2023-08-21 14:35:20 UTC

the formula for finding the midpoint between points (x1,y1) and (x2,y2)

linear pair

tbetsa — 2023-08-21 14:35:20 UTC

a pair of adjacent angles formed by intersecting lines

linear graph

tbetsa — 2023-08-21 14:35:20 UTC

a model of a straight line on the X and Y axis. it represents the equation y=mx+b

linear foot

tbetsa — 2023-08-21 14:35:20 UTC

a straight line measurement of 12 inches

line symmetry

tbetsa — 2023-08-21 14:35:20 UTC

another name for reflection symmetry. one half is the reflection of the other half

lateral area

tbetsa — 2023-08-21 14:35:20 UTC

the surface area of the lateral surfaces of a solid. lateral surface area does not include the area of the base(s)

isosceles triangle

tbetsa — 2023-08-21 14:35:20 UTC

a triangle with 2 equal sides and 2 equal angles

implicit function

tbetsa — 2023-08-21 14:35:20 UTC

A function in which the dependent variable is not isolated on one side of the equation

identity

tbetsa — 2023-08-21 14:35:20 UTC

an equation that is true no matter what values are chosen

hypotenuse

tbetsa — 2023-08-21 14:35:20 UTC

the side opposite the right angle in a right‐angled triangle

hyperbolic

tbetsa — 2023-08-21 14:35:20 UTC

relating to, involving, or typical of a hyperbola (a curve shaped like an arch)

heptagon

tbetsa — 2023-08-21 14:35:20 UTC

a polygon with 7 sides

helix

tbetsa — 2023-08-21 14:35:20 UTC

a curve shaped like a spring

half angle formula

tbetsa — 2023-08-21 14:35:20 UTC

equations that show how to find the sine, cosine, or tangent of half a given angle

function table

tbetsa — 2023-08-21 14:35:20 UTC

displays the relationship between the inputs and outputs of a specific function

exterior angle

tbetsa — 2023-08-21 14:35:20 UTC

the angle between any side of a shape, and a line extended from the next side

equiangular triangle

tbetsa — 2023-08-21 14:35:20 UTC

a triangle with three equal angles

ellipsoid

tbetsa — 2023-08-21 14:35:20 UTC

a sphere‐like surface for which all cross‐sections are ellipses

double angle formulas

tbetsa — 2023-08-21 14:35:20 UTC

equations that show how to find the sine, cosine, or tangent of twice a given angle

disjunction

tbetsa — 2023-08-21 14:35:20 UTC

a statement which connects two other statements using the word or

dependent variable

tbetsa — 2023-08-21 14:35:20 UTC

a variable whose value depends on the values of one or more independent variables

decagon

tbetsa — 2023-08-21 14:35:20 UTC

a polygon with 10 sides

cusp

tbetsa — 2023-08-21 14:35:20 UTC

a sharp point on a curve

Cramer's rule

tbetsa — 2023-08-21 14:35:20 UTC

a method for solving a linear system of equations using determinants. Cramer’s rule may only be used when the system is square and the coefficient matrix is invertible

counterexample

tbetsa — 2023-08-21 14:35:20 UTC

an example which disproves a proposition

cosecant

tbetsa — 2023-08-21 14:35:20 UTC

for a given angle in a right triangle, a trigonometric function equal to the length of the hypotenuse divided by that of the side opposite the angle

coplanar

tbetsa — 2023-08-21 14:35:20 UTC

a set of points, lines, or any other geometrical shapes that lie on the same plane

coordinate system

tbetsa — 2023-08-21 14:35:20 UTC

a standard grid, composed of lines of latitude and longitude, used to determine the absolute location of any object, place, or feature on the earth's surface

convex

tbetsa — 2023-08-21 14:35:20 UTC

curved outwards

convert

tbetsa — 2023-08-21 14:35:20 UTC

to change from one form to another

conversion

tbetsa — 2023-08-21 14:35:20 UTC

the process of change from one form to another

converse

tbetsa — 2023-08-21 14:35:20 UTC

switching the hypothesis and conclusion of a conditional statement ("If… then…" statement)

contrapositive

tbetsa — 2023-08-21 14:35:20 UTC

switching the hypothesis and conclusion of a conditional statement and negating both

concurrent lines

tbetsa — 2023-08-21 14:35:20 UTC

a set of lines that all intersect at the same point.

concave

tbetsa — 2023-08-21 14:35:20 UTC

curved inwards

collinear

tbetsa — 2023-08-21 14:35:20 UTC

three or more points lie on the same straight line

circumcenter

tbetsa — 2023-08-21 14:35:20 UTC

the circumcenter of a triangle is the point of intersection of all the three perpendicular bisectors of the triangle

centroid

tbetsa — 2023-08-21 14:35:20 UTC

the center of mass of a uniform object

central angle

tbetsa — 2023-08-21 14:35:20 UTC

an angle in a circle with its corner in circle's center

axis of symmetry

tbetsa — 2023-08-21 14:35:20 UTC

a line that cuts an object in half so that the two halves are mirror images of each other

apothem

tbetsa — 2023-08-21 14:35:20 UTC

a segment that is drawn from the center of a regular polygon perpendicular to a side of the polygon

angle of elevation

tbetsa — 2023-08-21 14:35:20 UTC

the angle between the horizontal and the line of sight to an object above the horizontal

angle of depression

tbetsa — 2023-08-21 14:35:20 UTC

the angle between the horizontal and the line of sight to an object beneath the horizontal

angle bisector

tbetsa — 2023-08-21 14:35:20 UTC

a line that splits an angle into two equal angles

alternate interior angle

tbetsa — 2023-08-21 14:35:20 UTC

when two lines are crossed by another line, the pairs of angles on opposite sides of the transversal but inside the two lines

alternate exterior angle

tbetsa — 2023-08-21 14:35:20 UTC

when two lines are crossed by another, the pairs of angles on opposite sides of the transversal but outside the two lines

adjacent side

tbetsa — 2023-08-21 14:35:20 UTC

sides immediately next to each other

adjacent angle

tbetsa — 2023-08-21 14:35:20 UTC

two angles that have the same vertex and a common ray but no interior points in common

volume

tbetsa — 2023-08-21 14:35:20 UTC

the amount of space taken up by an object, usually calculated by: base x height x width

vertical angle

tbetsa — 2023-08-21 14:35:20 UTC

congruent angles that form opposite each other when two lines intersect

vertex/vertices

tbetsa — 2023-08-21 14:35:20 UTC

a corner point of a geometric figure. for a polygon, vertices are where adjacent sides meet. for an angle, the vertex is where the two rays making up the angle meet

trigonometric ratios

tbetsa — 2023-08-21 14:35:20 UTC

a ratio that describes a relationship between sides and angles of triangles

translation

tbetsa — 2023-08-21 14:35:20 UTC

a transformation in which every point in a figure is moved in the same direction and by the same distance. A
also called a slide

transformation

tbetsa — 2023-08-21 14:35:20 UTC

a change in the size, shape, or position of a figure

theorem

tbetsa — 2023-08-21 14:35:20 UTC

an assertion that can be proved true using the rules of logic

tangent

tbetsa — 2023-08-21 14:35:20 UTC

the length of the opposite side divided by the length of the adjacent side

sphere volume

tbetsa — 2023-08-21 14:35:20 UTC

The total amount of space enclosed in a sphere

slope

tbetsa — 2023-08-21 14:35:20 UTC

the ratio of change in the vertical axis (y‐axis) to change in the horizontal axis (x‐axis) in the form rise or Dy. also, the constant, m, in the linear equation for the slope‐intercept form

sine

tbetsa — 2023-08-21 14:35:20 UTC

The length of the opposite side divided by the length of the hypotenuse

side-side-side (SSS)

tbetsa — 2023-08-21 14:35:20 UTC

when two triangles have corresponding sides that are congruent, the triangles are congruent

side-angle-side (SAS)

tbetsa — 2023-08-21 14:35:20 UTC

when two triangles have corresponding angles and sides that are congruent, the triangles are congruent.

scale factor

tbetsa — 2023-08-21 14:35:20 UTC

the ratio of any two corresponding lengths in two similar geometric figures

rotation

tbetsa — 2023-08-21 14:35:20 UTC

a transformation of a figure by turning it about a point or axis. the amount of rotation is usually expressed in the number of degrees (e.g., a 90° rotation). the direction of the rotation is usually expressed as clockwise or counterclockwise. also called a turn

reflection

tbetsa — 2023-08-21 14:35:20 UTC

a flip of a flat figure across a line that creates a mirror image

ratio

tbetsa — 2023-08-21 14:35:20 UTC

a comparison of two numbers, often written as a fraction

radius/radii

tbetsa — 2023-08-21 14:35:20 UTC

The distance from the center of a circle or a sphere to any point on the circle or a sphere

radian

tbetsa — 2023-08-21 14:35:20 UTC

a unit for measuring angles. 180° = π radians, and 360° = 2π radians

quadrilateral

tbetsa — 2023-08-21 14:35:20 UTC

a polygon with four sides and four angles

Pythagorean theorem

tbetsa — 2023-08-21 14:35:20 UTC

in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
a²+b²=c²

pyramid

tbetsa — 2023-08-21 14:35:20 UTC

a solid shape with polygon as a base and triangular faces that taper to a point (vertex)

polygon

tbetsa — 2023-08-21 14:35:20 UTC

a closed figure that has three or more sides, no curved lines, and no intersections

perpendicular lines

tbetsa — 2023-08-21 14:35:20 UTC

lines that form a 90° angle where they cross

perimeter

tbetsa — 2023-08-21 14:35:20 UTC

the distance around the outside of a figure or shape

parallelogram

tbetsa — 2023-08-21 14:35:20 UTC

a quadrilateral in which both pairs of opposite sides are parallel

parallel lines

tbetsa — 2023-08-21 14:35:20 UTC

lines that are a constant distance apart, never intersecting

parabola

tbetsa — 2023-08-21 14:35:20 UTC

a special curve, shaped like an arch, the graph of a quadratic equation

opposite side

tbetsa — 2023-08-21 14:35:20 UTC

the side across from the reference angle in a right triangle

line segment

tbetsa — 2023-08-21 14:35:20 UTC

the part of a line consisting of two endpoints and all points between them

law of sines

tbetsa — 2023-08-21 14:35:20 UTC

equations relating the sines of the interior angles of a triangle and the corresponding opposite sides

law of cosines

tbetsa — 2023-08-21 14:35:20 UTC

an equation relating the cosine of an interior angle and the lengths of the sides of a triangle

interior angle

tbetsa — 2023-08-21 14:35:20 UTC

an angle inside a shape

inscribe

tbetsa — 2023-08-21 14:35:20 UTC

to draw on the inside of, touching as many points as possible

hexagon

tbetsa — 2023-08-21 14:35:20 UTC

a polygon with 6 sides

hyperbola

tbetsa — 2023-08-21 14:35:20 UTC

hyperbola is a conic section in which the difference of distances of all the points from two fixed points (called foci) is constant

geometric series

tbetsa — 2023-08-21 14:35:20 UTC

a sequence made by multiplying some number each time

geometric sequence

tbetsa — 2023-08-21 14:35:20 UTC

a sequence which has a constant ratio between terms

geometric figure

tbetsa — 2023-08-21 14:35:20 UTC

a figure formed by any combination of points, lines, planes, curves, or surfaces in one, two, or three dimensions

Euclidean geometry

tbetsa — 2023-08-21 14:35:20 UTC

the main area of study in high school. this is the geometry of axioms, theorems, and two-column proofs. it includes the study of points, lines, triangles, quadrilaterals, other polygons, circles, spheres, prisms, pyramids, cones, cylinders, etc.

equilateral triangle

tbetsa — 2023-08-21 14:35:20 UTC

a triangle with 3 equal sides and 3 equal angles

equidistant

tbetsa — 2023-08-21 14:35:20 UTC

equally distance

equation of a line

tbetsa — 2023-08-21 14:35:20 UTC

various equations that represent a line. in all equations, the slope is represented by m, the x-intercept by a, and the y-intercept by b

ellipse

tbetsa — 2023-08-21 14:35:20 UTC

a stretched out or smashed circle

distance formula

tbetsa — 2023-08-21 14:35:20 UTC

the formula for finding the distance between two points

dilation

tbetsa — 2023-08-21 14:35:20 UTC

a change in size of a figure without changing its angles

diameter

tbetsa — 2023-08-21 14:35:20 UTC

a straight line going through the center of a circle connecting two points on the circumference

cylinder

tbetsa — 2023-08-21 14:35:20 UTC

a solid object with 2 identical flat ends that are circular and 1 curved side

cross-section

tbetsa — 2023-08-21 14:35:20 UTC

the plane figure obtained by the intersection of a solid by a plane

cosine

tbetsa — 2023-08-21 14:35:20 UTC

in a right triangle, the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse divided by that of the side opposite the angle

corresponding side

tbetsa — 2023-08-21 14:35:20 UTC

if the position of two sides is the same in two figures. they are called corresponding sides

corresponding angle

tbetsa — 2023-08-21 14:35:20 UTC

when two lines are crossed by another line (the transversal line), the angles in matching corners are called corresponding angles

correlation

tbetsa — 2023-08-21 14:35:20 UTC

the degree to which two variables are related

coordinate plane

tbetsa — 2023-08-21 14:35:20 UTC

the plane containing the "x" axis and the "y" axis

coordinate

tbetsa — 2023-08-21 14:35:20 UTC

a pair of numbers used to determine the position of a point on a graph

construction

tbetsa — 2023-08-21 14:35:20 UTC

the process of building something

conic sections

tbetsa — 2023-08-21 14:35:20 UTC

a group of curves obtained when a plane intersects a double cone

congruent triangle

tbetsa — 2023-08-21 14:35:20 UTC

triangles that are exactly the same size

congruent side

tbetsa — 2023-08-21 14:35:20 UTC

sides that are exactly the same size

congruent angle

tbetsa — 2023-08-21 14:35:20 UTC

angles that have the exact same measurement

congruent

tbetsa — 2023-08-21 14:35:20 UTC

having exactly the same shape and size

cone volume formula

tbetsa — 2023-08-21 14:35:20 UTC

volume = (1/3 x pi) x radius squared x height

complete the square

tbetsa — 2023-08-21 14:35:20 UTC

the process of converting a quadratic equation into a perfect square trinomial by adding or subtraction terms on both sides

complementary angles

tbetsa — 2023-08-21 14:35:20 UTC

two angles that add up to 90°

circumscribed

tbetsa — 2023-08-21 14:35:20 UTC

a geometric figure that is drawn around another geometric figure to touch all its vertices

circumference

tbetsa — 2023-08-21 14:35:20 UTC

the distance around a circle

circular

tbetsa — 2023-08-21 14:35:20 UTC

having the shape of a perfect circle, or resembling a circle in shape

chord

tbetsa — 2023-08-21 14:35:20 UTC

a straight line connecting two points on a curve or a curved shape

bisector of a line

tbetsa — 2023-08-21 14:35:20 UTC

a line that cuts another line segment into two equal parts

bisect

tbetsa — 2023-08-21 14:35:20 UTC

to divide into two equal parts

base (of a solid)

tbetsa — 2023-08-21 14:35:20 UTC

a flat surface of a solid figure by which the figure is measured and/or classified

area of a triangle

tbetsa — 2023-08-21 14:35:20 UTC

area = 1/2 (base x height)

area of a circle

tbetsa — 2023-08-21 14:35:20 UTC

area = pi x radius squared

area

tbetsa — 2023-08-21 14:35:20 UTC

length x width; measured in square units

angle-side-angle

tbetsa — 2023-08-21 14:35:20 UTC

(asa) if two angles and the included side of a triangle are congruent to two angles and a side of another triangle, then the two triangles are congruent

angle

tbetsa — 2023-08-21 14:35:20 UTC

a figure formed by two rays with the same vertex

acute angle

tbetsa — 2023-08-21 14:35:20 UTC

an angle that measures less than 90° (<90°) but is greater than 0° (>0°)

aa similarity

tbetsa — 2023-08-21 14:35:20 UTC

if two angles of one triangle are congruent to those of another, then the triangles are similar

3-dimensional

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a solid shape; having length, width, and depth

2-dimensional figure

tbetsa — 2023-08-21 14:35:20 UTC

a flat shape that only has length and height, but no depth