Math (Geometry)

Length

The measured distance from one end to the other of the longer or longest side of an object; any measured distance; the amount of time something takes

Dimensions

The measurements of a shape, such as its length and width, are called its _______.

Coordinates

The pair of numbers giving the location of a point are called its ___.

Sector

The part of the interior of a circle bounded by two radii and an arc.

Scale

The ratio of a distance on the map to the corresponding distance on the ground.

Trigonometric Ratio

The ratio of the lengths of two sides of a right triangle forms a ____ ratio.

Model

A function which is used to represent a problem, and which can be used to solve the problem, is called a ____.

Cosine

The ratio of the side adjacent an acute angle and the hypotenuse. Adjacent/Hypotenuse

Sine

The ratio of the side opposite from an acute angle and the hypotenuse. Opposite/Hypotenuse

Reflectional

An object where one half is the mirror image of the other half has _____ symmetry.

Tangent

The ratio of the side opposite from an acute angle and the side adjacent to an acute angle. Opposite/Adjacent

Terminal Point

The ending point after a transformation has taken place.

Point-Slope Form

The equation of a line in this form y - y1 = m ( x - x1) is called the ____-_____form.

Slope Intercept

The equation y = mx + b is in ___-____ form. (2 words)

Customary

The foot, the pound, and the gallon are all examples of ___________ units. This system of measurement was first devised in England.

Circle

The set of points in a plane that are equidistant from a given point form a ____.

Legs

The sides of a right triangle that form the right angle.

Parallel Lines

The slopes of these lines are always the same.

Initial Point

The starting point before a transformation has taken place.

Equation

The statement formed when an equal sign is placed between two expressions is called an _______.

Coordinate Geometry

The study of geometry using ordered pairs is called _______ geometry.

Triangle Inequality

The sum of the lengths of two sides of a triangle is always greater then the length of the third side.

Triangle Sum

The sum of the measures of the angles in any triangle is 180 degrees. This is the _____ _____ Theorem.

Radical Sign

The symbol for a square root is called the ______ sign.

Leg

The two sides of a right triangle that form the right angle.

Degree

The unit of measurement for angles, it is equal to 1/360th of a complete revolution.

Perpendicular

These are lines that intersect to form right angles.

Slopes Of Perpendicular Lines

These are negative reciprocals of each other; the product of these will equal -1.

Similar Triangles

These are triangles with congruent angles and proportional sides.

Adjacent Angles

These are two angles in a plane which share a common vertex and a common side but do not overlap.

Adjacent Supplementary Angles

These are two angles that add up to 180° that share a common vertex.

Corresponding Angles

These are two angles that are formed by two coplanar lines and a transversal. They occupy the same relative positions.

Alternate Interior Angles

These are two angles that are located between two parallel lines on opposite sides of the transversal.

Alternate Exterior Angles

These are two angles that are located outside two parallel lines on opposite sides of the transversal.

Angle

These are two rays sharing a common endpoint. They are typically measured in degrees.

Ratio

This another name for a fraction or quotient. It can also be written in the forms 'a:b' and 'a to b', where a and b are numbers.

Polygon

This is a closed plane figure formed by three or more line segments that do not cross over each other.

Equation Of A Circle

This is a conic section. The standard form is (x - h)squared + (y - k)squared = (r)squared.

Equation Of A Parabola

This is a conic section. The standard form is (y - k)squared = 4a(x - h).

Plane

This is a flat surface extending in all directions.

Number Line

This is a line representing the set of all real numbers.

Radius

This is a line segment between the center and a point on the circle or sphere.

Diameter

This is a line segment between two points on the circle or sphere which passes through the center.

Hour

This is a measure of time, and it is made up of 60 minutes.

English Unit System

This is a mix of the American customary unit system and the British imperial system. This is a non-metric unit system.

Coordinate Plane

This is a plane with two axes as a frame of reference. The x-axis is a horizontal line and the y-axis is perpendicular to it (i.e., the y-axis is vertical). The intersection of the two axes is called the origin.

Triangle

This is a polygon with three sides.

Rectangle

This is a quadrilateral with four congruent angles (all 90°).

Right Triangle

This is a triangle which has one 90-degree angle.

Equilateral

This is a triangle with all sides equal in length.

Isosceles

This is a triangle with exactly two congruent sides.

Scalene

This is a triangle with three unequal sides.

Ordered

This is a way of expressing a relationship between x and y in set notation. It is called an ____ pair.

Obtuse

This is an angle having a measure greater than 90° and up to 180°.

Acute Angle

This is an angle whose measure is between 0 degrees and 90 degrees is called an ____ ____.

Right

This is an angle whose measure is exactly 90°.

Straight Angle

This is an angle with a measure of 180 degrees.

Cartesian

This is another name for the coordinate plane, named for the French mathematician Rene Descartes.

Reflection

This is flipping a figure over the axis of symmetry. Every point has a corresponding point in the new image on the opposite side of the axis of symmetry, except when the point lies on the axis.

Area Of A Circle

This is found by multiplying pi by the radius squared.

Distance Formula

The formula used to find the length between two points in a coordinate plane.

Midpoint Formula

The formula used to find the point that lies half-way between two points in a coordinate plane.

Slope Formula

The formula used to find the rate of change between two points is called the ____ formula.

Parabola

The graph of a quadratic equation is called a ____.

Altitude

The height of a triangle. The segment drawn from a vertex to the opposite side forming a right angle.

Point

The intersection of two distinct lines occurs at a ____.

Constraints

The linear inequalities that will limit the solution region in a linear programming problem are called the ___.

Quadrant

This is one of four sections formed by the intersection of the x-axis and y-axis on a Cartesian coordinate plane.

Exterior Angle

This is the angle formed with you extend a side of the polygon. It is adjacent to the interior angle of the polygon.

Circumference

This is the distance around the outside of a circle.

Premise

This is the first part of a conditional statement.

X-Axis

This is the horizontal axis in a coordinate graph.

Arc Length

This is the length of an arc of a circle. It is found by dividing the angle by 2 pi and then multiplying that by the circumference of the circle.

Magnitude

This is the length or size of a vector

Hypotenuse

This is the longest side of a right triangle. It is also the side directly across from the 90-degree angle of a right triangle.

Pythagorean Theorem

This is the mathematical relation relating the three sides, a, b, c, of a right triangle.

Side

This is the name for one of the line segments which make up a shape.

Origin

This is the point where the x-axis crosses the y-axis. The coordinate location is the ordered pair (0,0).

Scale Factor

This is the ratio of any two corresponding lengths in two similar geometric figures.

Conclusion

This is the second part of a conditional statement.

Zero Slope

This is the slope of a horizontal line. The line has no vertical change between each horizontal change.

Area

This is the space inside a geometric shape, such as a square or a circle.

Line

This is the straight path connecting two points and extending infinitely in both directions.

Perimeter

This is the sum of the lengths of all the sides of a polygon, expressed in linear units.

Y-Axis

This is the vertical axis in a coordinate graph.

Whole

The counting numbers, together with 0, are called the _____ numbers.

Parallel

Lines with the same slope are ___.

Volume Of A Rectangular Prism

Multiplying length by width by height gives the _____ of a prism.

Graph

The ___ of an equation is formed by all the points in the plane that make it true.

Slope

The ___ tells how fast a line rises or falls between any two points on that line. Algebraically it is expressed as (y2 - y1)/ (x2 - x1) for the line passing through (x1, y1) and (x2, y2).

Translation

A _________ of the plane is a transformation which shifts all the points in a plane figure, without altering the shape of the figure.

Necessary

A ___________ condition for a statement P is a statement, Q, which logically follows from it. In other words, P implies Q.

Unit

A fixed amount used as a standard of measurement is called a ___.

Linear

A function of the form f(x) = mx + b, where m and b are real numbers, is called a _____ function.

Symmetry

A line that divides a figure into two congruent halves is called a line of ____.

Tangent

A line that intersects a circle in exactly one point.

Transversal

A line which intersects two or more coplanar lines is called a ___.

Height

A measurement of vertical distance, from bottom to top.

Factor

A number which divides evenly into a given number is called a ___ of that number.

Irregular Figure

A polygon that does not have all sides congruent.

Regular Polygon

A polygon with congruent angles and congruent sides is called a ______ polygon.

Segment

A portion of a line or ray that terminates at two endpoints.

Transformation

A reflection, rotation, translation, or dilation is called a _____.

Apothem

A segment drawn from the center of a regular polygon perpendicular to the side of the polygon.

Triple

A set of 3 nonzero whole numbers that form the sides of a right triangle are called a Pythagorean ___.

Theorem

A statement which has been proven to be true is called a ____.

Conditional Statement

A statement with a hypothesis and a conclusion.

Rigid

A transformation is called ___ if it preserves the shape and size of an object.

Dilation

A transformation that increases or decreased the size of a figure according to the scale factor.

Isometry

A transformation that keeps the size and shape of a geometric figure the same is called an _____.

Acute Triangle

A triangle in which all of the angles are smaller than 90° is called an ____ ____.

Equiangular Triangle

A triangle with all congruent angles is called _____.

Euclidean Geometry

A type of Geometry in which the parallel postulate holds true. Developed by Euclid.

Times

A word used to show multiplication in a word problem.

Segment

All the points on a line that are between two given points form a line ___.

Premise

Also known as an assumption or a hypothesis, this is a statement whose truth is given at the beginning of an argument or proof.

Arc

An ___ is a portion of a circle. There are three types of these: minor, major, and semicircle. A semicircle measures 180 degrees, a minor one is shorter than a semicircle, and a major one is longer than a semicircle.

Central

An angle in a circle whose vertex is at the center of the circle is called a ______ angle.

Semicircle

An arc that forms half of a circle.

Composite

An irregular shape that can be split into familiar shapes such as rectangles, triangles, and circles is called a _____ figure.

Rotational Symmetry

An object that looks the same after a certain amount of rotation.

Vertical Angles

Angles opposite to one another at the intersection of two lines are called ____ angles.

Consecutive Interior Angles

Angles that are located between two parallel lines on the same side of the transversal are called ____.

Square Units

Area (the space inside a plane figure, like a triangle or circle) is measured using __________ units.

Parallel

Coplanar lines, rays, or segments that do not intersect are called ___.

Interior Angles

For a polygon, this is the angle formed inside a polygon by two adjacent sides. For parallel lines cut by a transversal, these are any of the four angles formed between two straight lines intersected by a third straight line.

Pythagorean Theorem Converse

If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

Diagonal

In a closed plane figure, a ____ is a segment which joins two non-consecutive vertices. For example, in rectangle ABCD, the segment AC would be one of these.

Parallel

Lines that do not intersect are called ____.

Circumference Of A Circle

This may be calculated from its diameter using the formula: c = πd Or, substituting the radius for the diameter: c = 2πr Where r is the radius and d is the diameter of the circle, and π (the Greek letter pi) is the constant 3.141 592

Interpret

To explain the meaning of something or to understand something, such as collected numerical data.

Volume Of A Cone

To get the volume of a ____, multiply 1/3 by pi and then by the radius squared. Then multiply by the height.

Sphere

To get the volume of a ____, multiply 4/3 by pi and then by the cube of the radius.

Cylinder

To get the volume of a ______, multiply pi by the radius squared and then multiply by the height.

Factor

To write a polynomial as a product is to _____ it.

Supplementary Angles

Two angles whose measures add up to 180 degrees are called ____.

Complementary

Two angles whose sum is 90 degrees are called _____________.

Similar Polygons

Two geometric figures that are identical in shape, although not necessarily the same size, are called ____.

Undefined Slope

Vertical lines have _________ slope.

Indirect

When a quantity (such as a length) is measured using other known quantities and math, this is called ______________ measurement.

Convert

When solving problems with units we sometimes ____ to get the units the same.

Congruent

When two geometric figures (angles, rectangles, etc.) have the same size and shape, they are called ____.

Graph

When we plot all the points that satisfy an equation or inequality we ___ it.