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Study sets matching "honors geometry chapter 4"

34 terms
Geometry Honors Chapter 4 Review
scalene
isosceles
47º
78º
Find the measures of the sides of ∆ABC and classify the trian…
Find the measures of the sides of KPL and classify the triang…
m∠1=?
m∠2=?
scalene
Find the measures of the sides of ∆ABC and classify the trian…
isosceles
Find the measures of the sides of KPL and classify the triang…
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…
17 terms
Honors Geometry Chapter 4 Vocabulary
Triangle Sum Theorem
Exterior Angle Theorem
Flow Proof
Corollary
The sum of the measures of the interior angles of a triangle…
The measure of an interior angle of a triangle is equal to th…
A flow proof uses statements in boxes, with reasons beneath t…
A statement that follows directly from a theorem.
Triangle Sum Theorem
The sum of the measures of the interior angles of a triangle…
Exterior Angle Theorem
The measure of an interior angle of a triangle is equal to th…
20 terms
Honors Geometry Chapter 4
Congruent Polygons
If two angles of one triangle are cong…
Side-Side-Side Postulate
Side-Angle-Side Postulate
have congruent corresponding parts
the third angles are congruent
If 3 sides of 1 triangle are congruent to the 3 sides of anot…
If 2 sides and the included angle of 1 triangle are congruent…
Congruent Polygons
have congruent corresponding parts
If two angles of one triangle are cong…
the third angles are congruent
29 terms
Honors Geometry Chapter 4
triangle
scalene triangle
isosceles triangle
equilateral triangle
a polygon with three sides
a triangle with no congruent sides
a triangle with at least 2 congruent sides
a triangle with all congruent sides
triangle
a polygon with three sides
scalene triangle
a triangle with no congruent sides
11 terms
Honors Geometry Chapter 4 review
Congruent polygons
3rd angle theorem
Side-Side-Side (SSS) Postulate
Side-Angle-Side (SAS) Postulate
Polygon with congruent corresponding sides and congruent corr…
If two angles of one triangle are congruent to two angles of…
If 3 sides of a triangle are congruent to 3 sides of another…
If 2 sides and an included angle of one triangle are congru…
Congruent polygons
Polygon with congruent corresponding sides and congruent corr…
3rd angle theorem
If two angles of one triangle are congruent to two angles of…
10 terms
Chapter 4 Geometry Honors
Acute
Obtuse
Equilateral
Equiangular
A triangle that has 3 angles less than 90 degrees
A triangle that has 1 angle more than 90 degrees
A triangle that has 3 sides congruent
A triangle that has 3 angles congruent
Acute
A triangle that has 3 angles less than 90 degrees
Obtuse
A triangle that has 1 angle more than 90 degrees
7 terms
Chapter 4 Honors Geometry
interior angles
exterior angles
same side interior angles
same side exterior angles
interior angles
exterior angles
5 terms
Honors Geometry Chapter 4
scalene triangle
isosceles triangle
equilateral triangle
equiangular triangle
A triangle with 3 uneven sides
A triangle with two sides of equal length
A triangle with three equal sides
a triangle with all three angles equal
scalene triangle
A triangle with 3 uneven sides
isosceles triangle
A triangle with two sides of equal length
17 terms
Chapter 4 Geometry Honors
Triangle Sum Theorem (4.1)
Exterior Angle Theorem (4.1)
Corollary to the Triangle Sum Theorem…
Definition of Congruent Figures (4.2)
The sum of the measures of the interior angles of a triangle…
The measure of an exterior angle of a triangle is non-adjacen…
The acute angles of a right triangle are complementary.
All the parts of one figure are congruent to the correspondin…
Triangle Sum Theorem (4.1)
The sum of the measures of the interior angles of a triangle…
Exterior Angle Theorem (4.1)
The measure of an exterior angle of a triangle is non-adjacen…
23 terms
Honors Geometry Chapter 4
Congruent Triangles
SSS Postulate
ASA Postulate
SAS Postulate
Two triangles are congruent if and only if there is a corresp…
If each of the three sides of one triangle are congruent resp…
If two angles and the included side of one triangle are congr…
If two sides and the included angle of one triangle are congr…
Congruent Triangles
Two triangles are congruent if and only if there is a corresp…
SSS Postulate
If each of the three sides of one triangle are congruent resp…
17 terms
Honors Geometry Chapter 4
Acute Triangle
Equiangular Triangle
Obtuse Triangle
Right Triangle
3 acute angles/all angles less than 90°
3 congruent angles/all angles are 60
One obtuse angle/has an angle greater than 90
One right angle
Acute Triangle
3 acute angles/all angles less than 90°
Equiangular Triangle
3 congruent angles/all angles are 60
Geometry Honors - Chapter 4
congruent
SSS Postulate
SAS Postulate
ASA Postulate
-if two figures have the same shape and size... -two triangles a…
if three sides of one triangle are congruent to three sides o…
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
-if two figures have the same shape and size... -two triangles a…
SSS Postulate
if three sides of one triangle are congruent to three sides o…
26 terms
Geometry Honors chapter 4
Dilation
Translation
Reflection across y axis
Reflection across x-axis
With scale factor k>0 and the center (0,0) males (x,y) to (Kx…
(X,y) then (x+a,y+b)
(X,y) then (-x,y)
(X,Y) then (x,-y)
Dilation
With scale factor k>0 and the center (0,0) males (x,y) to (Kx…
Translation
(X,y) then (x+a,y+b)
17 terms
Honors Geometry Chapter 4
equiangular triangle
equilateral triangle
isosceles triangle
scalene triangle
a triangle with all congruent angles
a triangle with all congruent sides
a triangle with at least two sides congruent
triangle with no sides congruent
equiangular triangle
a triangle with all congruent angles
equilateral triangle
a triangle with all congruent sides
8 terms
Geometry honors chapter 4
Adjacent angles
Complementary angles
Supplementary angles
Linear pair of angles
Two angles in the same plane that have a common vertex and a…
Two angles, the sum of whose degree measure is 90
Two angles, the sum of whose degree measure is 180
2 adjacent angles whose sum is a straight angle
Adjacent angles
Two angles in the same plane that have a common vertex and a…
Complementary angles
Two angles, the sum of whose degree measure is 90
28 terms
Honors Geometry Chapter 4
Congruent figures
Definition of congruent triangles
C.P.C.T.C
SSS postulate
Figures hat have the same size and shape
2 triangles are congruent IF AND ONLY IF their corresponding…
Corresponding parts of congruent triangles are congruent (int…
(Side-side-side postulate) if 3 sides of a triangle are congr…
Congruent figures
Figures hat have the same size and shape
Definition of congruent triangles
2 triangles are congruent IF AND ONLY IF their corresponding…
25 terms
Chapter 4 Honors Geometry, Murphy
congruent figures
definition of congruent triangles
CPCTC
SSS postulate
same size and shape
2 triangles are congruent iff their corresponding parts are…
corresponding parts of congruent triangles are congruent
If 3 sides of 1 triangle are congruent to 3 sides of another…
congruent figures
same size and shape
definition of congruent triangles
2 triangles are congruent iff their corresponding parts are…
28 terms
Honors geometry chapter 4
Congruent figures
Definition of congruent triangles
CPCTC
Side-side-side postulate
Same size and shape
2 triangles are congruent iff their corresponding parts are c…
Corresponding parts of congruent triangles are congruent.
If 3 sides of 1 triangle are congruent to 3 sides of another…
Congruent figures
Same size and shape
Definition of congruent triangles
2 triangles are congruent iff their corresponding parts are c…
27 terms
Geometry Honors: Chapter 4
Translation
Reflection
Dilation
acute triangle
(x,y) → (x + a, y + b) Translation a units horizontally and b…
Reflection across y-axis : (x,y) → (-x,y)... Reflection across x…
(x,y) → (kx,ky) , k > 0 Dilation with a scale factor k and ce…
three acute angles
Translation
(x,y) → (x + a, y + b) Translation a units horizontally and b…
Reflection
Reflection across y-axis : (x,y) → (-x,y)... Reflection across x…
22 terms
chapter 4-honors geometry
Congruent polygons
Corollary
Legs of an isosceles triangle
Base of an isosceles triangle
_______have congruent corresponding parts--their matching sid…
A theorem that can easily be proved using another theorem.
Congruent sides of an isosceles triangle.
Side not congruent in a isosceles triangle (3rd/remaining sid…
Congruent polygons
_______have congruent corresponding parts--their matching sid…
Corollary
A theorem that can easily be proved using another theorem.
12 terms
Geometry Honors Chapter 4
Third Angle Theorem (TAT)
Side-side-side Postulate (SSS)
included angle
Side-angle-side Postulate (SAS)
if two angles of one triangle are congruent to two angles of…
if the three sides of one triangle are congruent to the three…
an angle between two sides of a triangle
if two sides and the included angle of one triangle are congr…
Third Angle Theorem (TAT)
if two angles of one triangle are congruent to two angles of…
Side-side-side Postulate (SSS)
if the three sides of one triangle are congruent to the three…
21 terms
Honors Geometry Chapter 4 Vocabulary
triangle
interior angles
exterior angles
corollary to a theorem
a polygon with three sides
when the sides of a triangle are extended, the three original…
when the sides of a triangle are extended, the angles that ar…
a statement that can be proved easily using the theorem
triangle
a polygon with three sides
interior angles
when the sides of a triangle are extended, the three original…
27 terms
Honors Geometry Chapter 4
detour proof
Mid-point formula
Theorem (4.1)
Theorem (4.3)
a proof in which it is necessary to prove more than one pair…
used to find the coordinates of the midpoint of a segment in…
M= (Xm, Ym) = [(x₁+ x₂)/2 , (y₁+ y₂)/2]
If two angles are both supplementary and congruent, then they…
detour proof
a proof in which it is necessary to prove more than one pair…
Mid-point formula
used to find the coordinates of the midpoint of a segment in…
17 terms
Geometry Honors~ Chapter 4
What is a Triangle?
What does scalene mean?
What does isosceles mean?
What does equilateral?
A polygon with 3 sides
No congruent sides
2 congruent sides
3 congruent sides
What is a Triangle?
A polygon with 3 sides
What does scalene mean?
No congruent sides
37 terms
Honors Geometry chapter 4
a closed plane figure that is formed b…
3
4
5
polygon
triangle
quadrilateral
pentagon
a closed plane figure that is formed b…
polygon
3
triangle
12 terms
Honors Geometry: Chapter 4
Triangle sum theorem
Third angles theorem
Converse of isosceles triangles
Isosceles triangle conjecture
The measures of 3 angles in 2 triangles add up to 180°
If two angles in a triangle are congruent to two angles in an…
If two angles of a triangle are congruent then it is an isosc…
If a triangle is isosceles then the base angles are congruent
Triangle sum theorem
The measures of 3 angles in 2 triangles add up to 180°
Third angles theorem
If two angles in a triangle are congruent to two angles in an…
29 terms
Honors Geometry Chapter 4
triangle
scalene triangle
isosceles triangle
equilateral triangle
a polygon with three sides
a triangle with no congruent sides
a triangle with at least 2 congruent sides
a triangle with all congruent sides
triangle
a polygon with three sides
scalene triangle
a triangle with no congruent sides
12 terms
Honors Geometry Chapter 4 Vocab
Interior Angles
Exterior Angles
Corollary to a Theorem
Congruent Figures
The triangles original angles
The angles that form linear regression interior angles
A statement that can be proved easily using the theorem
All parts of one figure are congruent to the corresponding pa…
Interior Angles
The triangles original angles
Exterior Angles
The angles that form linear regression interior angles
40 terms
Honors Geometry- Chapter 4 Terms
acute triangle
equiangular triangle
obtuse triangle
right triangle
3 acute angles
3 congruent acute angles
1 obtuse angle
1 right angle
acute triangle
3 acute angles
equiangular triangle
3 congruent acute angles
31 terms
Honors Geometry - Chapter 4 (Berry)
acute triangle
equiangular triangle
obtuse triangle
right triangle
a triangle with all angles measuring less than 90˚
a triangle with all angles congruent
a triangle with one angle measuring over 90˚
a triangle with one angle measuring exactly 90˚ (right angle)
acute triangle
a triangle with all angles measuring less than 90˚
equiangular triangle
a triangle with all angles congruent
9 terms
Geometry Honors Chapter 4
acute
equiangular
obtuse
right
three acute (<90)
three congruent acute(<90) angles
one obtuse angle (one line is longer than the other two)
one right angle
acute
three acute (<90)
equiangular
three congruent acute(<90) angles
25 terms
Honors Geometry Chapter4
congruent
common side
SSS Postulate
SAS Postulate
whenever two figures have the same side and shape
the side used by two polygons
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
whenever two figures have the same side and shape
common side
the side used by two polygons
12 terms
Chapter 4 | Honors Geometry
Triangle Third Angle Theorem
SSS
SAS
ASA
If 2 angles of a triangle are congruent to 2 angles of anothe…
If three sides of one triangle are congruent to three sides o…
If two sides and the included angle (angle in between those t…
If 2 angles and the included side of one triangle are congrue…
Triangle Third Angle Theorem
If 2 angles of a triangle are congruent to 2 angles of anothe…
SSS
If three sides of one triangle are congruent to three sides o…
15 terms
Chapter 4: Honors Geometry
Parallelogram
Theorem 4.1.1
Corollary 4.1.2
Corollary 4.1.3
A quadrilateral in both pairs of opposites are parallel.
A diagonal of a parallelogram separates it into two congruent…
The opposite angles of a parallelogram are congruent.
The opposite sides of a parallelogram are congruent.
Parallelogram
A quadrilateral in both pairs of opposites are parallel.
Theorem 4.1.1
A diagonal of a parallelogram separates it into two congruent…
8 terms
Honors Geometry Chapter 4
Equidistance Theorem
Converse of Equidistance Theorem
// Lines Slope
// Lines Slope Converse
If 2 points are equidistance to the endpoints of a segment th…
Any point on the perpendicular bisector of a segment is equid…
If two nonvertical lines are parallel, then their slopes are…
If the slopes of two nonvetical lines are equal, then their l…
Equidistance Theorem
If 2 points are equidistance to the endpoints of a segment th…
Converse of Equidistance Theorem
Any point on the perpendicular bisector of a segment is equid…
13 terms
Honors Geometry Chapter 4
Equilateral
Isosceles
Scalene
Triangle Sum Theorum
All sides are congruent and equiangular
Two sides are congruent
No sides are equal
The sum of the measures of the interior angles of a triangle…
Equilateral
All sides are congruent and equiangular
Isosceles
Two sides are congruent
Honors Geometry: Chapter 4
Equilateral
Isosceles
Scalene
Acute
All sides congruent
At least two sides congruent; has a base and congruent legs
No sides are congruent
All angles acute
Equilateral
All sides congruent
Isosceles
At least two sides congruent; has a base and congruent legs
12 terms
Honors Geometry-Chapter 4 Vocab
CPCTC
Legs (isosceles triangle)
Base
Vertex Angles
Corresponding Parts of Congruent Triangles are Congruent
The congruent sides of an isosceles triangle
The third side of an isosceles triangle
Angle formed by the legs of an isosceles triangle
CPCTC
Corresponding Parts of Congruent Triangles are Congruent
Legs (isosceles triangle)
The congruent sides of an isosceles triangle
15 terms
Honors Geometry Chapter 4
4 Angle Measures and descriptions
3 Side Lengths and descriptions
Triangle Sum Thm
Exterior Angle Thm
1. Acute Angle- three acute angles ... 2. Equiangular Angle- thr…
1. Equilateral- three congruent sides... 2. Isosceles- AT LEAST…
the sum of the angle measures of a triangle is 180 degrees
the measure of of an exterior angle of a triangle is equal to…
4 Angle Measures and descriptions
1. Acute Angle- three acute angles ... 2. Equiangular Angle- thr…
3 Side Lengths and descriptions
1. Equilateral- three congruent sides... 2. Isosceles- AT LEAST…
18 terms
Geometry Honors Chapter 4
Scalene
Triangle
Equilateral
Isosceles
No congruent sides
Polygon with 3 sides
3 congruent sides
2 congruent sides
Scalene
No congruent sides
Triangle
Polygon with 3 sides
36 terms
Honors Geometry Chapter 4
triangle
interior angles
exterior angles
corollary to a theorem
a polygon with three sides
when the sides of a polygon are extended, these are the origi…
angles that form linear pairs with the interior angles
a statement that can be proved easily using the theorem
triangle
a polygon with three sides
interior angles
when the sides of a polygon are extended, these are the origi…
21 terms
Honors Geometry Waud Chapter 4
Definition of Congruence
CPCTC
Isosceles Triangle Theorem
Isosceles Triangle Theorem Converse
When 2 figures have the same size and shape
Two triangles are congruent if and only if their vertices can…
If two sides of a triangle are congruent, then the angles opp…
If two angles of a triangle are congruent, then the sides opp…
Definition of Congruence
When 2 figures have the same size and shape
CPCTC
Two triangles are congruent if and only if their vertices can…
14 terms
Chapter 4 Honors Geometry
Median
Midsegment
Altitude
Centroid
Line legment from the vertex to the midpoint... Of the opposite…
Segment whose end points are the midpoints of two sides of a…
Line segment from vertex perpendicular to the opposite side
Point of concurrency of the medians
Median
Line legment from the vertex to the midpoint... Of the opposite…
Midsegment
Segment whose end points are the midpoints of two sides of a…
20 terms
Honors Geometry: Chapter 4 (Berry)
acute triangle
acute
equiangular triangle
congruent
a triangle in which all of the angles are acute angles
an angle less than 90 degrees
a triangle with all angles congruent
having the same size and shape
acute triangle
a triangle in which all of the angles are acute angles
acute
an angle less than 90 degrees
15 terms
Honors Geometry Terms Chapter 4
Scalene Triangle
Isosceles Triangle
Equilateral Triangle
Equiangular Triangle
A triangle with no two sides congruent
A triangle with at least two sides congruent
A triangle with all three sides congruent
A triangle with all three angles congruent
Scalene Triangle
A triangle with no two sides congruent
Isosceles Triangle
A triangle with at least two sides congruent
18 terms
Honors Geometry Chapter 4&5 Vocab
base angles of an isosceles triangle
base of an isosceles triangle
congruent polygons
corollary
an isosceles triangle is a triangle that has at least two con…
an isosceles that is a triangle with at least two congruent s…
polygons that have corresponding sides that are congruent and…
a theorem that can be proved easily using another theorem
base angles of an isosceles triangle
an isosceles triangle is a triangle that has at least two con…
base of an isosceles triangle
an isosceles that is a triangle with at least two congruent s…
18 terms
Chapter 4 Honors Geometry
Polygon
Congruent Polygons
Congruent Triangles
Scalene Triangle
a connected set of at least 3 line segments in the same plane…
2 polygons are congruent iff there is a correspondence betwee…
2 triangles are congruent iff there is a correspondence betwe…
iff it has no equal sides
Polygon
a connected set of at least 3 line segments in the same plane…
Congruent Polygons
2 polygons are congruent iff there is a correspondence betwee…
14 terms
Honors Geometry chapter 4 section 1
triangle sum theorem
scalene triangle
isosceles triangle
equilateral triangle
all interior angles add up to 180
no congruent sides
2 congruent sides
all sides are congruent
triangle sum theorem
all interior angles add up to 180
scalene triangle
no congruent sides
42 terms
Chapter 4 (Honors Geometry)
Triangle
Opposite sides
Opposite angles
Acute triangles
3 sided figure made up of segs called sides that intersect on…
angles are considered...
sides are considered...
3 acute angles
Triangle
3 sided figure made up of segs called sides that intersect on…
Opposite sides
angles are considered...
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