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Math (Geometry)
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Gravity
Key Concepts:
Terms in this set (143)
Acute Angle
This is an angle whose measure is between 0 degrees and 90 degrees is called an ____ ____.
Acute Triangle
A triangle in which all of the angles are smaller than 90° is called an ____ ____.
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.
Alternate Exterior Angles
These are two angles that are located outside two parallel lines on opposite sides of the transversal.
Alternate Interior Angles
These are two angles that are located between two parallel lines on opposite sides of the transversal.
Altitude
The height of a triangle. The segment drawn from a vertex to the opposite side forming a right angle.
Angle
These are two rays sharing a common endpoint. They are typically measured in degrees.
Apothem
A segment drawn from the center of a regular polygon perpendicular to the side of the polygon.
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.
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.
Area
This is the space inside a geometric shape, such as a square or a circle.
Area Of A Circle
This is found by multiplying pi by the radius squared.
Cartesian
This is another name for the coordinate plane, named for the French mathematician Rene Descartes.
Central
An angle in a circle whose vertex is at the center of the circle is called a ______ angle.
Circle
The set of points in a plane that are equidistant from a given point form a ____.
Circumference
This is the distance around the outside of a circle.
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
Complementary
Two angles whose sum is 90 degrees are called _____________.
Composite
An irregular shape that can be split into familiar shapes such as rectangles, triangles, and circles is called a _____ figure.
Conclusion
This is the second part of a conditional statement.
Conditional Statement
A statement with a hypothesis and a conclusion.
Congruent
When two geometric figures (angles, rectangles, etc.) have the same size and shape, they are called ____.
Consecutive Interior Angles
Angles that are located between two parallel lines on the same side of the transversal are called ____.
Constraints
The linear inequalities that will limit the solution region in a linear programming problem are called the ___.
Convert
When solving problems with units we sometimes ____ to get the units the same.
Coordinate Geometry
The study of geometry using ordered pairs is called _______ geometry.
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.
Coordinates
The pair of numbers giving the location of a point are called its ___.
Corresponding Angles
These are two angles that are formed by two coplanar lines and a transversal. They occupy the same relative positions.
Cosine
The ratio of the side adjacent an acute angle and the hypotenuse. Adjacent/Hypotenuse
Customary
The foot, the pound, and the gallon are all examples of ___________ units. This system of measurement was first devised in England.
Cylinder
To get the volume of a ______, multiply pi by the radius squared and then multiply by the height.
Degree
The unit of measurement for angles, it is equal to 1/360th of a complete revolution.
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.
Diameter
This is a line segment between two points on the circle or sphere which passes through the center.
Dilation
A transformation that increases or decreased the size of a figure according to the scale factor.
Dimensions
The measurements of a shape, such as its length and width, are called its _______.
Distance Formula
The formula used to find the length between two points in a coordinate plane.
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.
Equation
The statement formed when an equal sign is placed between two expressions is called an _______.
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).
Equiangular Triangle
A triangle with all congruent angles is called _____.
Equilateral
This is a triangle with all sides equal in length.
Euclidean Geometry
A type of Geometry in which the parallel postulate holds true. Developed by Euclid.
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.
Factor
A number which divides evenly into a given number is called a ___ of that number.
Factor
To write a polynomial as a product is to _____ it.
Graph
When we plot all the points that satisfy an equation or inequality we ___ it.
Graph
The ___ of an equation is formed by all the points in the plane that make it true.
Height
A measurement of vertical distance, from bottom to top.
Hour
This is a measure of time, and it is made up of 60 minutes.
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.
Indirect
When a quantity (such as a length) is measured using other known quantities and math, this is called ______________ measurement.
Initial Point
The starting point before a transformation has taken place.
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.
Interpret
To explain the meaning of something or to understand something, such as collected numerical data.
Irregular Figure
A polygon that does not have all sides congruent.
Isometry
A transformation that keeps the size and shape of a geometric figure the same is called an _____.
Isosceles
This is a triangle with exactly two congruent sides.
Leg
The two sides of a right triangle that form the right angle.
Legs
The sides of a right triangle that form the right angle.
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
Line
This is the straight path connecting two points and extending infinitely in both directions.
Linear
A function of the form f(x) = mx + b, where m and b are real numbers, is called a _____ function.
Magnitude
This is the length or size of a vector
Midpoint Formula
The formula used to find the point that lies half-way between two points in a coordinate plane.
Model
A function which is used to represent a problem, and which can be used to solve the problem, is called a ____.
Necessary
A ___________ condition for a statement P is a statement, Q, which logically follows from it. In other words, P implies Q.
Number Line
This is a line representing the set of all real numbers.
Obtuse
This is an angle having a measure greater than 90° and up to 180°.
Ordered
This is a way of expressing a relationship between x and y in set notation. It is called an ____ pair.
Origin
This is the point where the x-axis crosses the y-axis. The coordinate location is the ordered pair (0,0).
Parabola
The graph of a quadratic equation is called a ____.
Parallel
Lines that do not intersect are called ____.
Parallel
Lines with the same slope are ___.
Parallel
Coplanar lines, rays, or segments that do not intersect are called ___.
Parallel Lines
The slopes of these lines are always the same.
Perimeter
This is the sum of the lengths of all the sides of a polygon, expressed in linear units.
Perpendicular
These are lines that intersect to form right angles.
Plane
This is a flat surface extending in all directions.
Point
The intersection of two distinct lines occurs at a ____.
Point-Slope Form
The equation of a line in this form y - y1 = m ( x - x1) is called the ____-_____form.
Polygon
This is a closed plane figure formed by three or more line segments that do not cross over each other.
Premise
This is the first part of a conditional statement.
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.
Pythagorean Theorem
This is the mathematical relation relating the three sides, a, b, c, of a right triangle.
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.
Quadrant
This is one of four sections formed by the intersection of the x-axis and y-axis on a Cartesian coordinate plane.
Radical Sign
The symbol for a square root is called the ______ sign.
Radius
This is a line segment between the center and a point on the circle or sphere.
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.
Rectangle
This is a quadrilateral with four congruent angles (all 90°).
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.
Reflectional
An object where one half is the mirror image of the other half has _____ symmetry.
Regular Polygon
A polygon with congruent angles and congruent sides is called a ______ polygon.
Right
This is an angle whose measure is exactly 90°.
Right Triangle
This is a triangle which has one 90-degree angle.
Rigid
A transformation is called ___ if it preserves the shape and size of an object.
Rotational Symmetry
An object that looks the same after a certain amount of rotation.
Scale
The ratio of a distance on the map to the corresponding distance on the ground.
Scale Factor
This is the ratio of any two corresponding lengths in two similar geometric figures.
Scalene
This is a triangle with three unequal sides.
Sector
The part of the interior of a circle bounded by two radii and an arc.
Segment
All the points on a line that are between two given points form a line ___.
Segment
A portion of a line or ray that terminates at two endpoints.
Semicircle
An arc that forms half of a circle.
Side
This is the name for one of the line segments which make up a shape.
Similar Polygons
Two geometric figures that are identical in shape, although not necessarily the same size, are called ____.
Similar Triangles
These are triangles with congruent angles and proportional sides.
Sine
The ratio of the side opposite from an acute angle and the hypotenuse. Opposite/Hypotenuse
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).
Slope Formula
The formula used to find the rate of change between two points is called the ____ formula.
Slope Intercept
The equation y = mx + b is in ___-____ form. (2 words)
Slopes Of Perpendicular Lines
These are negative reciprocals of each other; the product of these will equal -1.
Sphere
To get the volume of a ____, multiply 4/3 by pi and then by the cube of the radius.
Square Units
Area (the space inside a plane figure, like a triangle or circle) is measured using __________ units.
Straight Angle
This is an angle with a measure of 180 degrees.
Supplementary Angles
Two angles whose measures add up to 180 degrees are called ____.
Symmetry
A line that divides a figure into two congruent halves is called a line of ____.
Tangent
The ratio of the side opposite from an acute angle and the side adjacent to an acute angle. Opposite/Adjacent
Tangent
A line that intersects a circle in exactly one point.
Terminal Point
The ending point after a transformation has taken place.
Theorem
A statement which has been proven to be true is called a ____.
Times
A word used to show multiplication in a word problem.
Transformation
A reflection, rotation, translation, or dilation is called a _____.
Translation
A _________ of the plane is a transformation which shifts all the points in a plane figure, without altering the shape of the figure.
Transversal
A line which intersects two or more coplanar lines is called a ___.
Triangle
This is a polygon with three sides.
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.
Trigonometric Ratio
The ratio of the lengths of two sides of a right triangle forms a ____ ratio.
Triple
A set of 3 nonzero whole numbers that form the sides of a right triangle are called a Pythagorean ___.
Undefined Slope
Vertical lines have _________ slope.
Unit
A fixed amount used as a standard of measurement is called a ___.
Vertical Angles
Angles opposite to one another at the intersection of two lines are called ____ angles.
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.
Volume Of A Rectangular Prism
Multiplying length by width by height gives the _____ of a prism.
Whole
The counting numbers, together with 0, are called the _____ numbers.
X-Axis
This is the horizontal axis in a coordinate graph.
Y-Axis
This is the vertical axis in a coordinate graph.
Zero Slope
This is the slope of a horizontal line. The line has no vertical change between each horizontal change.
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