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Having the exact same size and shape and there by having the exact same measures Congruent

The ray that divides an angle into two congruent angles Angle Bisector

The point that divides a segment into two congruent segments Midpoint

Lines that intersect to form right angles or 90° Perpendicular Lines

Any two angles that have a sum of 180° Supplementary Angles

An undefined term in geometry, a line is a straight path that has no thickness and extends forever. It also forms a straight angle which measures 180° Straight line

any measure is equal to itself (a = a) Reflexive Property

If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. Side Side Side

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. Angle Side Angle

If two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the triangles are congruent Angle Angle Side

Corresponding angles are congruent if and only if the transversal that passes through two lines that are parallel. Corresponding Angle Theorem

Same Side Interior Angles are supplementary if and only if the transversal that passes through two lines that are parallel. Same Side Interior Angles Theorem

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branch of mathematics that deals with points, lines, planes, and solids and examines their properties geometry

has no size, length, width, or height. represented by a dot and named by a capital letter point

set of all points space

points that lie on the same line collinear points

points that lie on the same plane coplaner points

line that consists of two points and all points between them segment

the part of a line that contains an endpoint and all other points extending in the other direction ray

things measuring to the same size or length congruent

a point that divides a segment into two congruent parts midpoint

angle whose measure is between 0 and 90 degrees acute angle

an angle that measures 90 degrees right angle

an angle whose measure is greater than 90 but less than 180 degrees obtuse angle

an angle whose measure is 180 degrees straight angle

triangle with no sides congruent scalene

triangle that has a right angle included right triangle

two angles whose sum is 90 degrees complementary

two angles whose measures sum up to 180 degrees supplementary

line that intersects a circle in two points secant

segment that connects two ponts on a circle chord

comparison of two numbers by divison ratio

congruent polygons lying in parallel planes bases

equation that sates two ratios are equal proportion

parellelogram with consecutive sides congruent rhombus

four sided figure with all sides congruent square

a line segment with two points on a cirlce that passes through the center diameter

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A pair of congruent angles on opposite sides of the transversal and are outside the parallel lines. ALTERNATEEXTERIORANGLESS

A pair of congruent angles on opposite sides of the transversal and are inside the parallel lines. ALTERNATEINTERIORANGLE

Two angles whose sum is 90 degrees COMPLEMENTARY

If two angles have the same measurement, then the angles are __. CONGRUENT

Congruent angles that match up in location CORRESPONDINGANGLES

A pair of supplementary angles that form a straight line LINEARPAIR

Two lines that never intersect PARALLELLINES

A pair of supplementary angles on the same-side of the transversal and are outside the two parallel lines. SAMESIDEEXTERIORANGLES

A pair of supplementary angles on the same-side of the transversal and are inside the two parallel lines. SAMESIDEINTERIORANGLES

Two angles whose sum is 180 degrees SUPPLEMENTARY

A line that crosses two or more lines TRANSVERSAL

A pair of congruent angles that share a common vertex and are opposite of each other. VERTICALANGLES

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A closed plane figure formed by three or more straight sides that are line segments. polygon

A polygon with three sides and three angles. triangle

A polygon with four sides and four angles. quadrilateral

A polygon with five sides and five angles. pentagon

A polygon with six sides and six angles. hexagon

A polygon with seven sides and seven angles. heptagon

A polygon with eight sides and eight angles. octagon

A polygon with nine sides and nine angles. nonagon

A polygon with ten sides and ten angles. decagon

An angle that measures greater than 0 degrees and less than 90 degrees. acute

An angle that forms a square corner and has a measure of 90 degrees. right

An angle whose measure is 180 degrees. straight

An angle that measures greater than 90 degrees and less than 180 degrees. obtuse

An exact location in space. point

A straight path of points in a plane that continues without end in both direcetions with NO endpoints. line

A part of a line that includes two points called endpoints and all the points between them. line segment

A part of a line; it has one endpoint and continues without end in one direction. ray

The point at either end of a line segment of the starting point of a ray. endpoint

Lines in the same plane that never intersect and are always the same distance apart. parallel

Two lines that intersect to form four right angles. perpendicular

Lines that cross each other at exactly one point. intersecting

The number of square units needed to cover a surface. area

The distance around a figure. perimeter

A parallelogram with four equal, or congruent, sides and four right angles. square

A parallelogram with opposite sidees that are equal, or congrudent, and with four right angles. rectangle

A parallelogram with four equal, or congruent, sides. rhombus

A quadrilateral with exactly one pair of parallel sides. trapezoid

A quadrilateral whose opposite sides are parallel and equal, or congruent. parallelogram

Having the EXACT same size and shape. congruent

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Always opposite of the right angle of the right triangle Hypotenuse

Will always makeup part of the angle that is being discussed and not be the hypotenuse Adjacent Side

Will never form part of the angle being discussed Opposite side

Opposite/Hypotenuse Sine

Adjacent/Hypotenuse Cosine

Opposite/Adjacent Tangent

A triangle with a right angle Right triangle

A special right triangle with two congruent angle 45-45-90 Triangle

Two sides with with equal lengths Isosceles Triangle

Special right triangle that uses the ratio 1:Radical of 3:2 30-60-90 Triangle

a^2+b^2=c^2 Pythagorean Therom

Angle that is always 90 degrees Right Angle

A plane figure with three straight sides and three angles Triangle

Branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant function of any angles Trigonometry

Identical in form, size and angles Congruent

Inverse of sin Sin^-1

Inverse of Cosine Cos^-1

Inverse of Tangent Tan^-1

The angle sum of a triangle 180 Degrees

Is used to show which lines are parallel \

If all sides are the same on both of the triangle then they are congruent SSS Postulate

If two sides and the angle between them are the same then they are congruent SAS Postulate

Another word for height Altitude

In a triangle it is the line segment drawn from a vertex to the midpoint Median

If two angles are the same for two triangle then they are the same AA Postulate

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The angles that occupy the same relative position at each intersection where a straight line crosses two others. Corresponding Angles

The pairs of angles on opposite sides of the transversal, but inside the parallel lines. Alternate Interior Angles

The pairs of angles on opposite sides of the transversal, but outside the parallel lines. Alternate Exterior Angles

Two angles that are on the same side of the transversal and on the inside of the parallel lines. Same Side Interior Angles

Two angles that are on the same side of the transversal and on the outside of the parallel lines. Same Side Exterior Angles

Corresponding angles have this relationship. Congruent

Same Side Interior angles have this relationship Supplementary

Angles that are smaller than 90 degrees Acute

Angles that are larger than 90 degrees. Obtuse

Angles that share a vertex and are congruent. Vertical Angles

Angles with a sum of 90 degrees Complementary Angles

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A line that intersects 2 or more coplanar lines. Transversal

Angles on the same side of the transversal that lie in the same exact spot. Corresponding Angles

The starting and stopping points of a line segment. Endpoints

Two angles that form a line. Linear Pair

Two angles that add up to 180 degrees. Supplementary

Two angles that add up to 90 degrees. Complementary

An angle that measures exactly 90 degrees. Right Angle

An angle that measures greater than 90 degrees and less than 180 degrees. Obtuse Angle

An angle that measures less than 90 degrees. Acute Angle

The point 2 or more figures have in common. Intersection

The point in the exact middle of a line segment. Midpoint

Angles with the same measure. Congruent Angles

Divide into 2 equal pieces. Bisect

On the same line. Collinear

On the same plane. Coplanar

Non-coplanar lines that do not intersect. Skew

Lines that intersect to make a 90 degree angle. Perpendicular Lines

Coplanar lines that never intersect. Parallel Lines

Angles on the same side of the transversal and on the interior of the lines. Consecutive Interior

Angles on opposite sides of the transversal and on the outside of the lines. Alternate Exterior

Angles on opposite sides of the transversal and on the inside of the lines. Alternate Interior

Angles on the same side of the transversal that lie in the same exact spot. Corresponding

A line that intersects 2 or more coplanar lines. Transversal

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Polygons having the same shape. Two polygons whose corresponding angles are congruent and the lengths of the corresponding sides are proportional. SIMILAR POLYGONS

Space occupied by a solid; measured in cubic inches. VOLUME

3-D figure with faces(sides) that are polygons. A solid figure with many plane faces, typically more than six. POLYHEDRON

Parts of congruent figures that match or are in the same places as each other. The parts (angles or sides) are in the same relative position in each of the figures. CORRESPONDING PARTS

Using properties of similar polygons to find lengths that are difficult to measure directly. A method of using proportions to find an unknown length or distance in similar figure. INDIRECT MEASUREMENT

Applying more than one transformation to an image. A transformation is put on the previous image several times. COMPOSITION OF TRANSFORMATIONS

Shapes that have the same shape but different sizes,~. Having corresponding sides proportional and corresponding angles equal. SIMILAR

A 3-D figure with all points the same distance from the center. A round solid figure, or its surface, with every point on its surface equidistant from its center. SPHERE

3-D figure with two parallel congruent circles. Connected by a curved circle. A solid geometric figure with straight parallel sides and a circular or oval cross section. CYLINDER

3-D figure with one circle base connected by a curved surface to a single vertex. A solid or hollow object that tapers from a circular or roughly circular base to a point. CONE

Objects made up of more than one solid. A solid that is composed, or made up of, two or more solids. COMPOSITE SOLIDS

Longest side of a right triangle; always across or opposite from right angle. HYPOTENUSE

Reversing the Pathagorean Theorem; Switching the hypotenuse and conclusion of a conditional statement. CONVERSE

Has three angles and three sides; has a sum of 180 degrees. TRIANGLE

Simply closed figure with three or more sides. POLYGON

Angles of a triangle that are not adjacent to a given exterior angle. REMOTE INTERIOR ANGLES

Operation that maps an original geometric figure to a now figure. A general term for four specific ways to change the shape on a graph. TRANSFORMATION

Fixed point or point that doesn't change in a rotation. POINT OF ROTATION

Intersecting line making a right angle. Two lines that meet a pet a right angle. PERPENDICULAR LINES

Outside the parallel's but opposite of the transversal; congruent. ALTERNATE EXTERIOR ANGLES

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A line,ray,segment or plane that intersects the segment at a midpoint. This divides the line, ray, segment or plane into two equal parts. Segment Bisector

A ray that divides an angle into 2 congruent adjacent angles. This consists of all points that are equidistant from the sides of the angle. Angle bisector

Two angles that add up to equal 180 are considered this. The measure of the first angle plus the measure of the second angle must equal 180 degrees total. supplementary angles

Two angles whose sum is 90 degrees are this. The measure of the first angle plus the measure of the second angle must equal 90 degrees. complementary angles

Coplanar lines that do not intersect. The two lines in the plane will never meet or touch each other. Parallel lines

A line that intersects two or more coplanar lines at distinct points. This can be used to determine whether or not two lines are parallel. transversal

The equation used in terms of slope that states "m"=the slope which is multiplied by x. "B" is the y-intercept. y=mx+b slope intercept form

Three sides of a triangle are congruent to 3 sides of a second triangle. What postulate will be used to prove the 2 triangles congruent? SSS

If two sides and the included angle of a triangle are congruent to 2 sides and the included angle of a second triangle Then the triangles are congruent according to what postulate? SAS

If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle then the triangles are congruent. According to what postulate? ASA

If two angles and the non-included side of one triangle are congruent to two angles and the non-included side of a second triangle then the triangles are congruent. According to what theorem? AAS

This term is used to prove corresponding segments or angles of congruent triangles congruent. What is the abbreviation? CPCTC

Two angles whose sides are formed by two pairs of opposite rays. The angles are congruent and placed "across" from each other. Vertical Angles

The point where sides meet. Often found on 3-dimensional figures including cones and pyramids. Vertex

The length of an arc of a circle is the product of the ratio and the circumference of the circle. Measure of arc AB= (measure of arc AB/360)(2πr). Arc Length

A comparison of two quantities by division. Such as, 5 to 7, 5:7, and 5/7. Ratio

A quadrilateral that has all the characteristics except for 2. The 2 characteristics this quadrilateral does not have is base angles congruent and has only one pair of opposite sides parallel. square

A line that is contained within two points called "endpoints." This line includes the two endpoints and several different points within the line. Segment

A perpendicular segment that joins the vertex of a triangle with the opposite side of the triangle.This is often substituted as "x" to find the geometric mean of the triangle. Altitude

Arcs that have the same measurement and are within the same circle or congruent circles. These arcs are the same in size and length. Congruent Arcs

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A pair of angles that share a common vertex and side. adjacent

points that lie on the same line collinear

A pair of adjacent angles that form a line. linear pair

to cut in half bisect

a geometric figure that has an endpoint and goes on infinitely in one direction. ray

A pair of angles that are formed with two straight lines. vertical

a pair of angles that add up to 90 complementary

a pair of angles that add up to 180 supplementary

a line that intersects two or more lines. transversal

if two lines are parallel, then alternate interior angles are ______________. congruent

Same side interior angles are supplementary if the lines are ______________ parallel

Lines that do not intersect and are noncoplanar. skew

a triangle with at least two sides congruent. isosceles

___________ parts of congruent triangles are congruent. corresponding

<A=<A reflexive

The __________ of a triangle is half the length of the base. midsegment

a parallelogram that has four right angles rectangle

a quadrilateral that has two pairs of consecutive sides congruent. kite

a square is both a rectangle and _____________ rhombus

a comparison of two things ratio

___________ figures have the same shape but not necessarily the same size. similar

the ratio of the corresponding side lengths of two similar figures. scale factor

The theorem that says the sum of the squares of the legs in a right triangle is equal to the square of the hypotenuse. pythagorean

The trig ratio that is "opposite leg over hypotenuse" sine

a transformation in which the preimage and image are congruent isometry

the distance around part of the circle arclength

an angle whose measure is half the intercepted arc inscribed

a line that touches a circle in exactly one point tangent

the volume of a __________ is 1/3 the volume of a prism pyramid

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when two lines meet at a shared point; is measured in degrees Angle

is straight and has no bends or curves: measures 180 degrees line

changes the direction to point the opposite way straight angle

when two shapes fit perfectly into each other, they are... congruent

adds up to 180 degrees supplementary

they go on forever and never touch parallel lines

the line that goes through two parallel lines transversal

angles that are equivalent vertical angles

the angles in matching corners when two lines are crossed by another line corresponding angles

when a transversal crosses two parallel lines.; the angle on the inside Alternate Interior Angles

when a transversal crosses two parallel lines.; the angle on the outside Alternate Exterior Angles

Two angles that lie on the same side of a transversal and between the lines cut by the transversal SSI Angles

an angle formed by a transversal as it cuts one of two lines and situated on the outside of the line SSE Angles

adds up to 90 degrees Complementary Angles

a flat geometric figure that has three sides and three angles triangle

A triangle with all sides of different lengths Scalene Triangle

a triangle that has two sides of equal length isosceles triangle

all sides of the triangle are equal equilateral triangle

an angle less than 90 degrees acute angle

an angle that is greater than 90 degrees obtuse angle

a 90 degree angle right angle

have a common side and a common vertex (corner point), and don't overlap adjacent angle

the two angles that are inside the triangle and opposite from the exterior angle remote interior angle

The sum of the interior angles of any triangle is equal to 180 degrees triangle sum theorem

Any side of a triangle must be shorter than the other two sides added together. triangle inequality theorem