Study sets matching "chapter 4 math geometry"

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Study sets matching "chapter 4 math geometry"

18 terms
Big Ideas Math Geometry Chapter 4
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
18 terms
Big Ideas Math Geometry Chapter 4
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
19 terms
BJA Math chapter 4 geometry
right angle
straight angle
obtuse angle
acute angle
right angle
straight angle
Chapter 4 GEOMETRY
reflection x-axis
reflection y-axis
180 degree rotation
90 degree clockwise rotation
(x,-y)
(-x,y)
(-x,-y)
(y,-x)
reflection x-axis
(x,-y)
reflection y-axis
(-x,y)
Math 5 Chapter 4 (geometry) terms
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…
Chapter 4 Geometry Vocabulary
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
8 terms
Math-Geometry Chapter 4 Theorem
Third Angles Theorem
Angle-Angle-Side (AAS) Theorem
Isosceles Triangle Theorem
Converse of Isosceles Triangle Theorem
Third Angles Theorem
Angle-Angle-Side (AAS) Theorem
18 terms
Chapter 4 Definitions - Geometry Mr D. Math
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
RAHS Geometry Chapter 4
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…
18 terms
Geometry - Chapter 4 Terms
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…
Math Chapter 4 Test: Geometry
scalene
isosceles
equilaeral
right trainsgle
no congruent sides
2 congruent sides
all sides are congruent
has one right angle
scalene
no congruent sides
isosceles
2 congruent sides
23 terms
Geometry Chapter 4
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…
21 terms
Geometry Chapter 4
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…
Big Ideas Math Geometry Chapter 4 (4.1 - 4.3) Vocabulary
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.
Big Ideas Math Geometry Chapter 4 Vocabulary
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
37 terms
Helgeson Geometry - chapter 4
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
11 terms
Big Ideas Math Geometry Chapter 4 (4.5-4.6)
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…
20 terms
Geometry Chapter 4 Review
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.
Geometry Chapter 4
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…
28 terms
Big Ideas Geometry Chapter 4 Transformations
vector
initial point
terminal point
horizontal component
a quantity with direction and magnitude
where a vector starts
where a vector ends
the change in the x-axis coordinate
vector
a quantity with direction and magnitude
initial point
where a vector starts
RAHS Geometry Chapter 4
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.
21 terms
Geometry Chapter 4
Isosceles Triangle
Equilateral Triangle
Scalene Triangle
Acute Triangle
two sides are congruent
all three sides are congruent
no two sides are congruent
all three angles are acute
Isosceles Triangle
two sides are congruent
Equilateral Triangle
all three sides are congruent
24 terms
Geometry Chapter 4 Vocabulary
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
22 terms
Geometry Chapter 4
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
Geometry Vocabulary Chapter 4
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
10 terms
Chapter 4 Geometry Vocabulary (Pearson)
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
20 terms
Geometry Terms - Chapter 4
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…
Geometry: Holt Chapter 4
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…
6 terms
Big Ideas Math Geometry Chapter 4 Postulates and Theorems
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.
24 terms
Holt Geometry Chapter 4
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
21 terms
Discovering Geometry, Chapter 4 Vocabulary and Conjectures
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
27 terms
Geometry Chapter 4
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.
28 terms
Geometry Chapter 4 Transformations
vector
initial point
terminal point
horizontal component
a quantity with direction and magnitude
where a vector starts
where a vector ends
the change in the x-axis coordinate
vector
a quantity with direction and magnitude
initial point
where a vector starts
10 terms
Geometry Chapter 4
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…
33 terms
Geometry Chapter 4 :Congruent Triangles
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.
7th Grade Math Chapter 4 Vocabulary (Apply Proportionality to Geometry)
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…
13 terms
Geometry Chapter 4 Triangles
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…
19 terms
Chapter 4 Geometry Vocabulary
Congruence Polygons
SSS Congruence Postulate
SAS Congruence Postulate
ASA Congruence Postulate
Two polygons are congruent if and only if... 1. the correspondin…
Congruence Polygons
Two polygons are congruent if and only if... 1. the correspondin…
SSS Congruence Postulate
12 terms
Geometry Proofs Chapter 4
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…
Geometry Chapter 4 Vocabulary
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…
19 terms
Chapter 4 Geometry Vocabulary
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
24 terms
Geometry, Chapter 4
Triangle
Scalene triangle
Isosceles triangle
Equilateral triangle
polygon with 3 sides
triangle with 0 sides congruent
triangle with at least 2 sides congruent
triangle with 3 congruent sides
Triangle
polygon with 3 sides
Scalene triangle
triangle with 0 sides congruent
12 terms
Jacob's geometry chapter 4
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
Geometry -Triangle Congruence Chapter 4
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)
37 terms
Geometry Ch., 1-5
acute
obtuse
point
segment
angle less than 90 degrees
angle greater than 90 degrees
no size
has endpoints
acute
angle less than 90 degrees
obtuse
angle greater than 90 degrees
Honors Geometry Chapter 4
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…
24 terms
Chapter 4 Math Vocab
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.
Math Chapter 4 Vocabulary
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…
12 terms
Chapter 4 Math Vocabulary
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
Geometry Chapter 4 Terms
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…
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