#### Study sets matching "chapter 4 math geometry"

#### Study sets matching "chapter 4 math geometry"

congruent figures

congruence transformation

dilation

center of dilation

Geometric figures that have the same size and shape

A transformation that preserves length and angle measure

A transformation in which a figure is enlarged or reduced wit…

The fixed point in a dilation

congruent figures

Geometric figures that have the same size and shape

congruence transformation

A transformation that preserves length and angle measure

congruent figures

congruence transformation

dilation

center of dilation

Geometric figures that have the same size and shape

A transformation that preserves length and angle measure

A transformation in which a figure is enlarged or reduced wit…

The fixed point in a dilation

congruent figures

Geometric figures that have the same size and shape

congruence transformation

A transformation that preserves length and angle measure

point

line

line segment

plane

a location in space

a straight path of points that goes on endlessly in both dire…

a part of a line having 2 endpoints

a flat surface that goes on endlessly in all directions

point

a location in space

line

a straight path of points that goes on endlessly in both dire…

alpha

angle

arithmetic sequence

clinometer

a Greek letter often used to represent angle measure. Others…

formed by two rays joined at a common endpoint

an ordered sequence of mathematical terms in which a constant…

a device used to measure angles of elevation and depression

alpha

a Greek letter often used to represent angle measure. Others…

angle

formed by two rays joined at a common endpoint

polygon

triangle

vertices

acute triangle

A figure in a plane made up of segments that are connected wi…

A polygon with three sides

The common endpoints in a triangle

All three angles are acute

polygon

A figure in a plane made up of segments that are connected wi…

triangle

A polygon with three sides

Congruent Polygons

Triangle Congruence by SSS

Triangle Congruence by SAS

Triangle Congruence by ASA

Have congruent corresponding (matching) sides and correspondi…

If three sides of one triangle are congruent to the three sid…

If two sides and the included angle of one triangle are congr…

If two angles and the included side of one triangle are congr…

Congruent Polygons

Have congruent corresponding (matching) sides and correspondi…

Triangle Congruence by SSS

If three sides of one triangle are congruent to the three sid…

Triangle Sum Theorem

Definition: Triangle Exterior Angle

Remote Interior Angles

Triangle Exterior Angle Theorem

The sum of the interior angles of a triangle is 180 degrees.

The angle formed by one side of a polygon and the extension o…

The two angles in a triangle that are not adjacent to the ind…

The measure of the exterior angle of a triangle is equal to t…

Triangle Sum Theorem

The sum of the interior angles of a triangle is 180 degrees.

Definition: Triangle Exterior Angle

The angle formed by one side of a polygon and the extension o…

Acute Angle

Auxillary Line

Base Angles of Isosceles Triangle

Congruence Transformation

A triangle with 3 acute triangles

An extra line or segment drawn in a figure to help analyze ge…

The two angles formed by the base and the congruent sides

Rigid transformation or Isometry: the position of the image m…

Acute Angle

A triangle with 3 acute triangles

Auxillary Line

An extra line or segment drawn in a figure to help analyze ge…

Scalene Triangle

Isosceles Triangle (Base, Leg, Vertex,…

Equilateral Triangle

Right Triangle (Hypotenuse, Leg)

A triangle with no congruent sides

A triangle that has 2 congruent sides.... Legs - 2 congruent sid…

A triangle with 3 congruent sides

A triangle with a 90 degree angle... Hypotenuse - the side oppos…

Scalene Triangle

A triangle with no congruent sides

Isosceles Triangle (Base, Leg, Vertex,…

A triangle that has 2 congruent sides.... Legs - 2 congruent sid…

Angle of rotation

Center of rotation

Center of symmetry

Component form

The angle that is formed by rays drawn from the center of rot…

The fixed point in a rotation.

The center of rotation in a figure that has rotational symmet…

A form of a vector that combines the horizontal and vertical…

Angle of rotation

The angle that is formed by rays drawn from the center of rot…

Center of rotation

The fixed point in a rotation.

Vector

Initial point

Terminal point

Component form of a vector

A quantity that has both direction and magnitude, or size, an…

Starting point of a vector

Ending point of a vector

Combines the horizontal and vertical components of a vector i…

Vector

A quantity that has both direction and magnitude, or size, an…

Initial point

Starting point of a vector

triangle

equilateral triangle

isosceles triangle

scalene triangle

a figure formed by three segments joining three noncollinear…

a triangle with three congruent sides

a triangle with two congruent sides

a triangle with no congruent sides

triangle

a figure formed by three segments joining three noncollinear…

equilateral triangle

a triangle with three congruent sides

Center of dilation

Congruence transformation

Congruent figures

Dilation

The fixed point in a dilation.

A transformation that preserves length and angle measure.... Tr…

Geometric figures that have the same size and shape.

A transformation in which a figure is enlarged or reduced wit…

Center of dilation

The fixed point in a dilation.

Congruence transformation

A transformation that preserves length and angle measure.... Tr…

Acute Triangle

Equiangular Triangle

Obtuse Triangle

Right Triangle

A triangle that has 3 acute angles.

A triangle with 3 congruent acute angles.

A triangle that has 1 obtuse angle.

A triangle that has 1 right angle.

Acute Triangle

A triangle that has 3 acute angles.

Equiangular Triangle

A triangle with 3 congruent acute angles.

Triangle Sum Theorem

Exterior Angle Theorem

Side side side Congruence Postulate

side angle side congruence postulate

The sum of the angle measures of a triangle is 180.

The measure of an exterior angle of a triangle is equal to th…

If three sides of one triangle are congruent to three sides o…

if two sides and the included angle of one triangle are congr…

Triangle Sum Theorem

The sum of the angle measures of a triangle is 180.

Exterior Angle Theorem

The measure of an exterior angle of a triangle is equal to th…

Base Angles of Isosceles Triangle

Base of an Isosceles Triangle

Congruent Polygons

Hypotenuse

Angles opposite the two congruent sides of an isosceles trian…

Side opposite the vertex angle of a isosceles triangle.

Has corresponding (matching sides and angles) congruent parts.

Side opposite the right angle of a triangle.

Base Angles of Isosceles Triangle

Angles opposite the two congruent sides of an isosceles trian…

Base of an Isosceles Triangle

Side opposite the vertex angle of a isosceles triangle.

acute triangle

auxiliary line

base of a triangle

base angle of an isosceles triangle

a triangle with 3 acute angles

a line drawn in a figure to aid in a proof

any side of a triangle

one of the two angles that have the base of the triangle as a…

acute triangle

a triangle with 3 acute angles

auxiliary line

a line drawn in a figure to aid in a proof

triangle

vertex

adjacent sides

legs of a right triangle

a figure formed by three segments joining three noncollinear…

one of the three points joining the sides of a triangle

two sides sharing a common vertex in a triangle

in a right triangle, the sides that form the right angle

triangle

a figure formed by three segments joining three noncollinear…

vertex

one of the three points joining the sides of a triangle

Incenter

orthocenter

concurrent lines

point of concurrency

the point of concurrency of the angle bisectors of a triangle.

the point of concurrency of the altitudes of a triangle

three or more lines that intersect at a common point

the point of intersection of concurrent lines

Incenter

the point of concurrency of the angle bisectors of a triangle.

orthocenter

the point of concurrency of the altitudes of a triangle

The two congruent angles of an isoscel…

The noncongruent side of an isosceles…

Polygons that have congruent correspon…

If you know two triangles are congruen…

Base Angles of Isosceles Triangle

Base of Isosceles Triangle

Congruent Polygons

Corresponding Parts of Congruent Triangles

The two congruent angles of an isoscel…

Base Angles of Isosceles Triangle

The noncongruent side of an isosceles…

Base of Isosceles Triangle

α

arithmetic sequence

clinometer

conjecture

alpha is a Greek letter that is often used to represent the m…

an ordered sequence of mathematical terms in which a constant…

a device used to measure angles of elevation and depression

an educated guess

α

alpha is a Greek letter that is often used to represent the m…

arithmetic sequence

an ordered sequence of mathematical terms in which a constant…

Side-Side-Side Congruence Postulate (S…

Angle-Side-Angle Congruence Theorem (A…

Side-Angle-Side Congruence Postulate (…

Side-Side-Angle Conjecture (SSA)

If the sides of one triangle are congruent to the sides of an…

If two angles and the included side in one triangle are congr…

If two sides and their included angle in one triangle are con…

In an SSA combination, if the given side opposite the given a…

Side-Side-Side Congruence Postulate (S…

If the sides of one triangle are congruent to the sides of an…

Angle-Side-Angle Congruence Theorem (A…

If two angles and the included side in one triangle are congr…

Translation Postulate

Composition theorem

Reflection postulate

Rotation postulate

A translation is a rigid motion

The composition of two or more rigid motions is a rigid motion.

A reflection is a rigid motion

A rotation is a rigid motion

Translation Postulate

A translation is a rigid motion

Composition theorem

The composition of two or more rigid motions is a rigid motion.

acute triangle

auxiliary line

base

base angle

a triangle whose interior angles are all acute

a line that is added to a figure in a proof

the side opposite the vertex angle

an angle that has the base as a side with another angle

acute triangle

a triangle whose interior angles are all acute

auxiliary line

a line that is added to a figure in a proof

Triangle Sum Conjecture

Auxiliary line

Legs of an Isosceles Triangle

Isosceles Triangle Conjecture

The sum of the measures of the angles in every triangle is 180°

An extra line or segment that helps with a proof

The two sides of an isosceles triangle that are not the base.

If a triangle is isosceles, then its base angles are congruent

Triangle Sum Conjecture

The sum of the measures of the angles in every triangle is 180°

Auxiliary line

An extra line or segment that helps with a proof

auxiliary line

paragraph proof

Triangle Sum Conjecture

leg

An extra line or line segment drawn in a figure to help in a…

A logical explanation presented in the form of a paragraph.

The sum of the measures of the angles in every triangle is 18…

(of an isosceles triangle) One of the congruent sides of an i…

auxiliary line

An extra line or line segment drawn in a figure to help in a…

paragraph proof

A logical explanation presented in the form of a paragraph.

auxiliary line

base angles

corollary

equilateral triangle

An extra line drawn to help analyze a figure.

Two angles formed by the base of an isosceles triangle and th…

A baby proof. Theorem with a proof that follows as a direct r…

All three sides equal.

auxiliary line

An extra line drawn to help analyze a figure.

base angles

Two angles formed by the base of an isosceles triangle and th…

Right Angle

Acute Angle

Obtuse Angle

Acute Triangle

An angle that measures 90 degrees.

An angle that measures between 0 and 90 degrees.

An angle that measures between 90 and 180 degrees.

A triangle with three angles less than 90 degrees each.

Right Angle

An angle that measures 90 degrees.

Acute Angle

An angle that measures between 0 and 90 degrees.

attribute

center

circle

circumference

a characteristic of a figure

the point from which all points on a circle are the same dist…

the set of all points in a plane that are the same distance f…

the distance around a circle

attribute

a characteristic of a figure

center

the point from which all points on a circle are the same dist…

Acute Triangle

Equiangular Triangle

Obtuse Triangle

Right Triangle

If all three of the angles of a triangle are acute angles, th…

If all three angles of an acute triangle are congruent, then…

If one of the angles of a triangle is an obtuse angle, then t…

If one of the angles of a triangle is a right angle, then the…

Acute Triangle

If all three of the angles of a triangle are acute angles, th…

Equiangular Triangle

If all three angles of an acute triangle are congruent, then…

Triangle Sum Theorem

Exterior Angle Theorem

Third Angles Theorem

SSS Postulate

The sum of the interior angles of a triangle are 180. ... Acute…

The measure of an exterior angle of a triangle is equal to th…

If 2 angles of a triangle are congruent to 2 angles of anothe…

If 3 sides of a triangle are congruent to 3 sides of another…

Triangle Sum Theorem

The sum of the interior angles of a triangle are 180. ... Acute…

Exterior Angle Theorem

The measure of an exterior angle of a triangle is equal to th…

AAS

ASA

Base Angles of an Isosceles Triangle

Base of an Isosceles Triangle

If 2 angles and a nonincluded side of one triangle are congru…

If 2 angles and the included side of one triangle are congrue…

The 2 angles of an isosceles triangle that are not the vertex…

The third side of an isosceles triangle

AAS

If 2 angles and a nonincluded side of one triangle are congru…

ASA

If 2 angles and the included side of one triangle are congrue…

alpha

angle

arithmetic sequence

clinometer

a Greek letter often used to represent angle measure. Others…

formed by two rays joined at a common endpoint

an ordered sequence of mathematical terms in which a constant…

a device used to measure angles of elevation and depression

alpha

a Greek letter often used to represent angle measure. Others…

angle

formed by two rays joined at a common endpoint

Distance formula

Polygon

ASA postulate

SAS Postulate

Many sided figure made of at least 3 line segments

If 2 angles and the included side of one triangle are equal t…

If 2 sides and the included angle of one triangle are equal t…

Distance formula

Polygon

Many sided figure made of at least 3 line segments

If three sides in a triangle are congr…

If two sides and an included angle in…

If two angles and an included side in…

If two angles and a side that is not i…

SSS (Side Side Side)

SAS (Side Angle Side)

ASA (Angle Side Angle)

AAS (Angle Angle Side) Theorem

If three sides in a triangle are congr…

SSS (Side Side Side)

If two sides and an included angle in…

SAS (Side Angle Side)

Definition of Congruent Triangles

C.P.C.T.C

SSS Postulate

SAS Postulate

2 triangles are congruent if and only if their corresponding…

Corresponding parts of congruent triangles are congruent. ( D…

If 3 sides of one triangle are congruent to 3 sides of anothe…

If 2 sides and the included angle of 1 triangle are congruent…

Definition of Congruent Triangles

2 triangles are congruent if and only if their corresponding…

C.P.C.T.C

Corresponding parts of congruent triangles are congruent. ( D…

Variable

Expression

Commutative Property

Associative Property

- usually a letter, used to represent an unknown or changing…

- a mathematical sentence that does not contain an equal sign.

- you can +/x numbers in any order. "Turn Around" (Ex: 5 + 7…

- when you +/x you can group numbers as you like, without cha…

Variable

- usually a letter, used to represent an unknown or changing…

Expression

- a mathematical sentence that does not contain an equal sign.

decompose

Partial Product

regroup

multiple

to break numbers down into parts

Finding the product for the tens and ones separately and then…

uses place value to exchange equal amounts when renaming a nu…

the product of a number and any whole number

decompose

to break numbers down into parts

Partial Product

Finding the product for the tens and ones separately and then…

Divide

Dividend

Divisor

Factor

to separate into equal groups

the number that is to be divided in a division problem

the number that divdies the dividend

a number that is multiplied by another number to find a product

Divide

to separate into equal groups

Dividend

the number that is to be divided in a division problem

Congruent Triangles

Included Angles

Included Side

SSS Postulate

Triangles with the same measures. When two triangles are cong…

An included angle is the angle between two sides of a triangl…

An included side is the side between two angles of a triangle.

SSS (Side Side Side) postulate states that if three sides of…

Congruent Triangles

Triangles with the same measures. When two triangles are cong…

Included Angles

An included angle is the angle between two sides of a triangl…