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Terms in this set (143)
This is an angle whose measure is between 0 degrees and 90 degrees is called an ____ ____.
A triangle in which all of the angles are smaller than 90° is called an ____ ____.
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.
The height of a triangle. The segment drawn from a vertex to the opposite side forming a right angle.
These are two rays sharing a common endpoint. They are typically measured in degrees.
A segment drawn from the center of a regular polygon perpendicular to the side of the polygon.
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.
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.
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.
This is another name for the coordinate plane, named for the French mathematician Rene Descartes.
An angle in a circle whose vertex is at the center of the circle is called a ______ angle.
The set of points in a plane that are equidistant from a given point form a ____.
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
Two angles whose sum is 90 degrees are called _____________.
An irregular shape that can be split into familiar shapes such as rectangles, triangles, and circles is called a _____ figure.
This is the second part of a conditional statement.
A statement with a hypothesis and a conclusion.
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 ____.
The linear inequalities that will limit the solution region in a linear programming problem are called the ___.
When solving problems with units we sometimes ____ to get the units the same.
The study of geometry using ordered pairs is called _______ geometry.
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.
The pair of numbers giving the location of a point are called its ___.
These are two angles that are formed by two coplanar lines and a transversal. They occupy the same relative positions.
The ratio of the side adjacent an acute angle and the hypotenuse. Adjacent/Hypotenuse
The foot, the pound, and the gallon are all examples of ___________ units. This system of measurement was first devised in England.
To get the volume of a ______, multiply pi by the radius squared and then multiply by the height.
The unit of measurement for angles, it is equal to 1/360th of a complete revolution.
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.
This is a line segment between two points on the circle or sphere which passes through the center.
A transformation that increases or decreased the size of a figure according to the scale factor.
The measurements of a shape, such as its length and width, are called its _______.
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.
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).
A triangle with all congruent angles is called _____.
This is a triangle with all sides equal in length.
A type of Geometry in which the parallel postulate holds true. Developed by Euclid.
This is the angle formed with you extend a side of the polygon. It is adjacent to the interior angle of the polygon.
A number which divides evenly into a given number is called a ___ of that number.
To write a polynomial as a product is to _____ it.
When we plot all the points that satisfy an equation or inequality we ___ it.
The ___ of an equation is formed by all the points in the plane that make it true.
A measurement of vertical distance, from bottom to top.
This is a measure of time, and it is made up of 60 minutes.
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.
When a quantity (such as a length) is measured using other known quantities and math, this is called ______________ measurement.
The starting point before a transformation has taken place.
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.
To explain the meaning of something or to understand something, such as collected numerical data.
A polygon that does not have all sides congruent.
A transformation that keeps the size and shape of a geometric figure the same is called an _____.
This is a triangle with exactly two congruent sides.
The two sides of a right triangle that form the right angle.
The sides of a right triangle that form the right angle.
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
This is the straight path connecting two points and extending infinitely in both directions.
A function of the form f(x) = mx + b, where m and b are real numbers, is called a _____ function.
This is the length or size of a vector
The formula used to find the point that lies half-way between two points in a coordinate plane.
A function which is used to represent a problem, and which can be used to solve the problem, is called a ____.
A ___________ condition for a statement P is a statement, Q, which logically follows from it. In other words, P implies Q.
This is a line representing the set of all real numbers.
This is an angle having a measure greater than 90° and up to 180°.
This is a way of expressing a relationship between x and y in set notation. It is called an ____ pair.
This is the point where the x-axis crosses the y-axis. The coordinate location is the ordered pair (0,0).
The graph of a quadratic equation is called a ____.
Lines that do not intersect are called ____.
Lines with the same slope are ___.
Coplanar lines, rays, or segments that do not intersect are called ___.
The slopes of these lines are always the same.
This is the sum of the lengths of all the sides of a polygon, expressed in linear units.
These are lines that intersect to form right angles.
This is a flat surface extending in all directions.
The intersection of two distinct lines occurs at a ____.
The equation of a line in this form y - y1 = m ( x - x1) is called the ____-_____form.
This is a closed plane figure formed by three or more line segments that do not cross over each other.
This is the first part of a conditional statement.
Also known as an assumption or a hypothesis, this is a statement whose truth is given at the beginning of an argument or proof.
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.
This is one of four sections formed by the intersection of the x-axis and y-axis on a Cartesian coordinate plane.
The symbol for a square root is called the ______ sign.
This is a line segment between the center and a point on the circle or sphere.
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.
This is a quadrilateral with four congruent angles (all 90°).
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.
An object where one half is the mirror image of the other half has _____ symmetry.
A polygon with congruent angles and congruent sides is called a ______ polygon.
This is an angle whose measure is exactly 90°.
This is a triangle which has one 90-degree angle.
A transformation is called ___ if it preserves the shape and size of an object.
An object that looks the same after a certain amount of rotation.
The ratio of a distance on the map to the corresponding distance on the ground.
This is the ratio of any two corresponding lengths in two similar geometric figures.
This is a triangle with three unequal sides.
The part of the interior of a circle bounded by two radii and an arc.
All the points on a line that are between two given points form a line ___.
A portion of a line or ray that terminates at two endpoints.
An arc that forms half of a circle.
This is the name for one of the line segments which make up a shape.
Two geometric figures that are identical in shape, although not necessarily the same size, are called ____.
These are triangles with congruent angles and proportional sides.
The ratio of the side opposite from an acute angle and the hypotenuse. Opposite/Hypotenuse
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).
The formula used to find the rate of change between two points is called the ____ formula.
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.
To get the volume of a ____, multiply 4/3 by pi and then by the cube of the radius.
Area (the space inside a plane figure, like a triangle or circle) is measured using __________ units.
This is an angle with a measure of 180 degrees.
Two angles whose measures add up to 180 degrees are called ____.
A line that divides a figure into two congruent halves is called a line of ____.
The ratio of the side opposite from an acute angle and the side adjacent to an acute angle. Opposite/Adjacent
A line that intersects a circle in exactly one point.
The ending point after a transformation has taken place.
A statement which has been proven to be true is called a ____.
A word used to show multiplication in a word problem.
A reflection, rotation, translation, or dilation is called a _____.
A _________ of the plane is a transformation which shifts all the points in a plane figure, without altering the shape of the figure.
A line which intersects two or more coplanar lines is called a ___.
This is a polygon with three sides.
The sum of the lengths of two sides of a triangle is always greater then the length of the third side.
The sum of the measures of the angles in any triangle is 180 degrees. This is the _____ _____ Theorem.
The ratio of the lengths of two sides of a right triangle forms a ____ ratio.
A set of 3 nonzero whole numbers that form the sides of a right triangle are called a Pythagorean ___.
Vertical lines have _________ slope.
A fixed amount used as a standard of measurement is called a ___.
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.
The counting numbers, together with 0, are called the _____ numbers.
This is the horizontal axis in a coordinate graph.
This is the vertical axis in a coordinate graph.
This is the slope of a horizontal line. The line has no vertical change between each horizontal change.
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