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Study sets matching "geometry chapter 4"

27 terms
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
Geometry Chapter 4
Triangle
Interior angles
Exterior angles
Corollary to a theorem
Polygon with 3 sides
When the sides are extended the angles are in the inside
When the sides are extended the angles are on the outside
A statement that can be proved easily with the theorem
Triangle
Polygon with 3 sides
Interior angles
When the sides are extended the angles are in the inside
23 terms
Geometry chapter 4
Scalene triangles
Isosceles triangles
Equilateral triangle
Acute triangle
No congruent sides
At least two congruent sides
Three congruent sides
A triangle with three acute triangle
Scalene triangles
No congruent sides
Isosceles triangles
At least two congruent sides
7 terms
Geometry Chapter 4
Degree
Congruent
Similar
Symbol
A unit for measuring arcs and angles
Equal in size and shape
Alike though not identical
A sign used to represent something
Degree
A unit for measuring arcs and angles
Congruent
Equal in size and shape
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
19 terms
Geometry Chapter 4 Vocabulary
alternate exterior angles
alternate interior angles
consecutive interior angles
corresponding angles
On opposite sides of the transversal, outside the parallel li…
On opposite sides of the transversal, inside the parallel lines
On the same side of the transversal
Have different vertices
alternate exterior angles
On opposite sides of the transversal, outside the parallel li…
alternate interior angles
On opposite sides of the transversal, inside the parallel lines
30 terms
Geometry Chapter 4
Equilateral Triangle
Isosceles Triangle
Scalene Triangle
Acute Triangle
All 3 sides of the triangle are congruent.
At least 2 sides of the triangle are congruent.
0 sides of the triangle are congruent.
The triangle has 3 acute angles.
Equilateral Triangle
All 3 sides of the triangle are congruent.
Isosceles Triangle
At least 2 sides of the triangle are congruent.
27 terms
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…
48 terms
Chapter 4 Geometry
Triangle
Interior Angles
Exterior Angles
Corollary
A polygon with three sides.
Angles inside the triangle that form the vertices.
Angles that form linear pairs with the interior angles (outsi…
A statement that can be proved easily using a given theorem.
Triangle
A polygon with three sides.
Interior Angles
Angles inside the triangle that form the vertices.
18 terms
Geometry Chapter 4
Scalene Triangles
Equilateral Triangle
Isosceles Triangle
Linear Pair
A triangle that has three unequal sides
A triangle with three equal sides
A triangle of two sides of equal length
Lines that add up to 180
Scalene Triangles
A triangle that has three unequal sides
Equilateral Triangle
A triangle with three equal sides
35 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 acute angles.
Right Angle
An angle that measures 90 degrees.
Acute Angle
An angle that measures between 0 and 90 degrees.
8 terms
Geometry Chapter 4 Vocabulary
Base Angles of an Isosceles Triangle
Base of an Isosceles Triangle
Congruent Polygons
Corollary
If two sides of a triangle are congruent (legs), then the ang…
The third side of the triangle that is not the legs (opposite…
Congruent corresponding parts- their matching sides and angles
a theorem that can be proved easily using another theorem; us…
Base Angles of an Isosceles Triangle
If two sides of a triangle are congruent (legs), then the ang…
Base of an Isosceles Triangle
The third side of the triangle that is not the legs (opposite…
19 terms
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…
25 terms
Geometry Chapter 4
congruent figures
congruent polygons
two congruent triangles
Theorem 4-1
have the have the same size and shape
have congruent corresponding parts, matching sides, angles, a…
congruent when they have three pairs of congruent correspondi…
if two angles of one triangle are congruent to two angles of…
congruent figures
have the have the same size and shape
congruent polygons
have congruent corresponding parts, matching sides, angles, a…
25 terms
Geometry Chapter 4 - Triangle Relationships
triangle
equilateral triangle
isosceles triangle
scalene triangle
A figure formed by three segments joining at three points not…
A triangle with three congruent sides
A triangle that has 2 equal sides.
a triangle with no congruent sides
triangle
A figure formed by three segments joining at three points not…
equilateral triangle
A triangle with three congruent sides
27 terms
Chapter 4 Geometry Quizlet-Triangles
Yes by Side-Angle-Side
YES by Side-Side-Side
YES by Angle-Angle-Side
YES by Angle-Side-Angle
Can you prove triangles congruent? If so, by what theorem?
Can you prove triangles congruent? If so, by what theorem?
Can you prove triangles congruent? If so, by what theorem?
Can you prove triangles congruent? If so, by what theorem?
Yes by Side-Angle-Side
Can you prove triangles congruent? If so, by what theorem?
YES by Side-Side-Side
Can you prove triangles congruent? If so, by what theorem?
37 terms
Geometry - chapter 4
triangle
scalene triangle
equilateral triangle
isosceles triangle
a figure formed by three segments joining three noncollinear…
a triangle with no congruent sides
a triangle with three congruent sides
a triangle with two congruent sides
triangle
a figure formed by three segments joining three noncollinear…
scalene triangle
a triangle with no congruent sides
33 terms
Geometry- Chapter 4
Triangles can by classified by:
Acute triangles
obtuse triangles
equiangular triangles
by their angles or by their sides. All triangles have at leas…
3 acute angles
1 obtuse angle
3 congruent acute triangles
Triangles can by classified by:
by their angles or by their sides. All triangles have at leas…
Acute triangles
3 acute angles
38 terms
Geometry Chapter 4
characteristics of a triangle
acute triangle
equiangular triangle
obtuse triangle
180 degrees, 3 sides
3 acute angles
3 congruent acute angles
1 obtuse angle
characteristics of a triangle
180 degrees, 3 sides
acute triangle
3 acute angles
52 terms
geometry chapter 4
triangle
a triangle with vertices A, B, and C i…
scalene triangle
isosceles triangle
polygon with three sides
"triangle ABC" or "∆ABC"
has no congruent sides
has at least 2 congruent sides
triangle
polygon with three sides
a triangle with vertices A, B, and C i…
"triangle ABC" or "∆ABC"
34 terms
Geometry Chapter 4
acute triangle
equilateral triangle
obtuse triangle
right triangle
acute triangle
equilateral triangle
27 terms
Geometry chapter 4
congruent
congruent
congruent
congruent
when using Side Side Side (SSS) congruent to SSS, are you pro…
when using Side Angle Side (SAS) congruent to SAS, are you pr…
when using Angle Side Angle (ASA) congruent to ASA, are you p…
when using Hypotenuse Leg (HL) congruent to HL , are you prov…
congruent
when using Side Side Side (SSS) congruent to SSS, are you pro…
congruent
when using Side Angle Side (SAS) congruent to SAS, are you pr…
12 terms
Geometry Chapter 4
def of reflection image
reflection postulate (image/preimage)
figure transformation theorem
reflection postulate (orientation)
for a point P not on line M, the ___ ___ of P over line M is…
each preimage has exactly 1 image and vice versa
if a figure is determined by certain points, then its transfo…
if a preimage has clockwise orientation, its image has counte…
def of reflection image
for a point P not on line M, the ___ ___ of P over line M is…
reflection postulate (image/preimage)
each preimage has exactly 1 image and vice versa
13 terms
Geometry Chapter 4
perpendicular bisector
Hypotenuse-Leg Theorem
Hypotenuse-Angle Theorem
Leg-Angle Theorem
a segment that is perpendicular to another segment and bisect…
E and F are congruent angles; right angles cannot be used
Lines CB and FE are congruent and angles E and F are congruen…
perpendicular bisector
a segment that is perpendicular to another segment and bisect…
Hypotenuse-Leg Theorem
29 terms
Geometry Terms Chapter 4
Acute Triangle
Equiangular Triangle
Obtuse Triangle
Right Triangle
A triangle with all angles less than 90 degrees
A triangle with all angles measuring the same
A triangle with one side more than 90 degrees
A triangle with one angle measuring exactly 90 degrees
Acute Triangle
A triangle with all angles less than 90 degrees
Equiangular Triangle
A triangle with all angles measuring the same
15 terms
Geometry Chapter 4 Glencoe 2010
Coordinate Proof
Flow Proof
Remote Interior Angle
Auxiliary Line
Proofs that use figures in a coordinate plane and algebra to…
A proof that organizes statements in logical order, starting…
The angles of a triangle that are not adjacent to a given ext…
An extra line or segment drawn in a figure to help complete a…
Coordinate Proof
Proofs that use figures in a coordinate plane and algebra to…
Flow Proof
A proof that organizes statements in logical order, starting…
24 terms
Geometry Chapter 4
congruent figures
when are figures congruent?
how do we name congruent figures/ cong…
third angles theorem
figures that have the same size and slope
when corresponding sides and angle are congruent
name the corresponding vertices in order
if 2 angles in one triangle are congruent to 2 angles of anot…
congruent figures
figures that have the same size and slope
when are figures congruent?
when corresponding sides and angle are congruent
8 terms
Geometry chapter 4 terms
auxillary line
exterior angle
remote interior angles
flow proof
an extra line or segment drawn in a figure to help complete a…
an angle formed by one side of a triangle and the extension o…
the angles of a triangle that are not adjacent to a given ext…
a proof that organizes statements in logical order, starting…
auxillary line
an extra line or segment drawn in a figure to help complete a…
exterior angle
an angle formed by one side of a triangle and the extension o…
Geometry Chapter 4 Vocabulary
Perpendicular Lines
Perpendicular Bisector
Parallel Lines
Alternate Interior Angles
two lines that intersect to forma right angle
a line that bisects a line segment and in perpendicular to th…
lines that lie in the same plane and do not intersect
Interior angles that are on opposite sides of a transversal
Perpendicular Lines
two lines that intersect to forma right angle
Perpendicular Bisector
a line that bisects a line segment and in perpendicular to th…
11 terms
Chapter 4 Geometry Vocabulary
Scalene (triangle)
Isoscles (triangle)
Equilateral (triangle)
Acute (angle)
no sides are equal
At least 2 sides are equal
All sides are equal
all three angles are less than 90 degrees
Scalene (triangle)
no sides are equal
Isoscles (triangle)
At least 2 sides are equal
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.
31 terms
Chapter 4 Geometry
acute
equiangular
obtuse
right
a triangle that has 3 acute angles
a triangle that has 3 congruent acute sides (is a special kin…
a triangle that has 1 obtuse angle
a triangle that has 1 right angle
acute
a triangle that has 3 acute angles
equiangular
a triangle that has 3 congruent acute sides (is a special kin…
35 terms
Geometry: Chapter 4
Triangle Sum Conjecture
One method to create parallel lines
Triangle Third Angle Conjecture
SSS Conjecture
The sum of the measures of every triangle is 180 degrees.
By arrainging congruent triangles.
If two angles of one triangle are equal in measure to two ang…
If three sides of one trianlge are congruent to three sides o…
Triangle Sum Conjecture
The sum of the measures of every triangle is 180 degrees.
One method to create parallel lines
By arrainging congruent triangles.
13 terms
Geometry Chapter 4 Words
Horizontal
Vertical
Coordinate Plane
Graph
Parallel to the horizon
Straight up and down
Plane formed by placing two real number lines at right angles
A diagram showing how one quantity depends on another
Horizontal
Parallel to the horizon
Vertical
Straight up and down
23 terms
GEOMETRY VOCABULARY CHAPTER 4
triangle
interior angle
exterior angle
corollary to a theorem
a polygon with 3 sides
(of a triangle) when the sides of a triangle are extended, th…
(of a triangle) when the sides of a triangle are extended, th…
a statement that can be proven easily using the theorem
triangle
a polygon with 3 sides
interior angle
(of a triangle) when the sides of a triangle are extended, th…
15 terms
geometry chapter 4 theorems
degrees in a triangle
measure of exterior angle
the acute angles of a right angle are
number of right angles a triangle can…
180°
sum of remote interiors
complementary
no more than 1
degrees in a triangle
180°
measure of exterior angle
sum of remote interiors
62 terms
Geometry Chapter 4 Term Figures (BJU Press)
Acute Angle
Acute Angle
Right Angle
Right Angle
Acute Angle
Acute Angle
21 terms
Geometry- Chapter 4
Congruent Polygons
Third Angles Theorem
Congruent Triangles
Side-Side-Side (SSS) Postulate
Have congruent corresponding parts - their matching sides and…
If two angles of one triangle are congruent to two angles of…
If all six parts, (angles and sides) are congruent then the t…
If three sides of one triangle are congruent to the three sid…
Congruent Polygons
Have congruent corresponding parts - their matching sides and…
Third Angles Theorem
If two angles of one triangle are congruent to two angles of…
18 terms
Geometry Chapter 4 Vocab
Acute Triangle
Equiangular Triangle
Obtuse Triangle
Right Triangle
a triangle that has 3 acute angles
a triangle that has 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 that has 3 congruent acute angles
28 terms
Geometry Chapter 4
Scalene Triangle
Isosceles Triangles
Equilateral Triangles
Acute triangles
No congruent sides
At least 2 congruent sides
3 congruent sides
2 acute angles
Scalene Triangle
No congruent sides
Isosceles Triangles
At least 2 congruent sides
23 terms
Geometry chapter 4
Equilateral
Isosceles
Scalene
Pick any two sides... Set the equations e…
All three sides of triangle are congruent
At least two sides of triangle are congruent
No two sides of triangle are congruent
Find x and the length of each side of triangle RST is an equi…
Equilateral
All three sides of triangle are congruent
Isosceles
At least two sides of triangle are congruent
30 terms
Geometry Chapter 4
Symmetric Property
Reflexive Property
Transitive Property
Addition Postulate
If a = b, then b = a.
a is congruent/equal to a
If a = b and b = c, then a = c
If equal quantities are added to equal quantities, the sums a…
Symmetric Property
If a = b, then b = a.
Reflexive Property
a is congruent/equal to a
22 terms
Geometry Chapter 4
Angle Sum Theorem
exterior angle theorem
third angle theorem
Side Side Side
all the measures of a triangle equal 180
the measure of the exterior angle of a triangle is equal to t…
if 2 angles of one triangle are congruent to 2 angles of a 2n…
if the corresponding sides of two triangles are congruent con…
Angle Sum Theorem
all the measures of a triangle equal 180
exterior angle theorem
the measure of the exterior angle of a triangle is equal to t…
12 terms
Geometry, Chapter 4
Congruent Triangles
Acute Triangle
Scalene Triangle
Right Triangle
Two triangles with all corresponding (matching up) sides cong…
A triangle with all acute angles.
A triangle with no sides congruent.
A triangle with a right angle.
Congruent Triangles
Two triangles with all corresponding (matching up) sides cong…
Acute Triangle
A triangle with all acute angles.
15 terms
Geometry Chapter 4 Key Terms Carnegie Textbook
Disc
Isometric Paper
Right triangular Prism
Oblique Triangular Prism
A _____ is the set of all points on a circle and in the inter…
_________ is often used by artists and engineers to create th…
A triangle translated through space in a direction perpendicu…
When a triangle is translated through space in a direction th…
Disc
A _____ is the set of all points on a circle and in the inter…
Isometric Paper
_________ is often used by artists and engineers to create th…
16 terms
Chapter 4 Vocab Geometry
Angle-Angle-Side (AAS) Theorem
Angle-Side-Angle (ASA) Postulate
Base angles of an isosceles triangle
Base of an isosceles triangle
If two angles and a non-included side of one triangle are con…
If two triangles and the included angle of one triangle are c…
The congruent angles are called the _____.
The non-congruent side is called the ____ of the isosceles tr…
Angle-Angle-Side (AAS) Theorem
If two angles and a non-included side of one triangle are con…
Angle-Side-Angle (ASA) Postulate
If two triangles and the included angle of one triangle are c…
19 terms
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…
17 terms
Geometry Vocab: Chapter 4
Congruent Polygons
Corresponding Parts
Triangle Angel-Sum Theorem
SSS: side-side-side
polygons that have corresponding sides congruent and correspo…
...
If 2 angles of one triangle are congruent to two angles of an…
If three sides of one triangle are congruent to three sides o…
Congruent Polygons
polygons that have corresponding sides congruent and correspo…
Corresponding Parts
...
18 terms
Geometry Chapter 4 Vocabulary
congruent figures
Third Angles Theorem
Side-Side-Side Postulate
Side-Angle-Side Postulate
figures that have the same size and shape
if two angles of one triangle are congruent to two angles of…
if three sides of one triangle are congruent to three sides o…
if two sides and the included angle of one triangle are congr…
congruent figures
figures that have the same size and shape
Third Angles Theorem
if two angles of one triangle are congruent to two angles of…
19 terms
Geometry Chapter 4
Acute Triangle
Equiangular Triangle
Obtuse Triangle
Right Triangle
A triangle in which all three angles have a measure of less t…
A triangle in which all three angles have a measure of 60 deg…
A triangle in which one of the angles has a measure greater t…
A triangle in which one of the angles has a measure of 90 deg…
Acute Triangle
A triangle in which all three angles have a measure of less t…
Equiangular Triangle
A triangle in which all three angles have a measure of 60 deg…
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