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Study sets matching "geometry triangle"

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Study sets matching "geometry triangle"

15 terms
Geometry - Triangle Vocabulary
Triangle
Equilateral Triangle
Scalene Triangle
Isosceles Triangle
A Polygon with 3 sides. The point of intersection of 2 sides…
A Triangle with 3 congruent sides.
A Triangle with 3 sides that have different lengths.
A Triangle with at least 2 congruent sides.
Triangle
A Polygon with 3 sides. The point of intersection of 2 sides…
Equilateral Triangle
A Triangle with 3 congruent sides.
22 terms
Geometry Triangles
triangle
vertex
Angles of a triangle are labeled 3 ways:
The sum of the measures of the interio…
3 sided polygon
A common endpoint of two sides of a polygon or an angle.
Three capital letters that name the angle... A capital letter th…
180 degrees
triangle
3 sided polygon
vertex
A common endpoint of two sides of a polygon or an angle.
24 terms
Geometry: 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…
25 terms
Geometry Special Triangle Segments
Midsegment
Point of Concurrency
Median
Centroid
A segment that connects the midpoints of two sides of a trian…
The point where three or more lines, segments, or rays inters…
A median is a segment that connects the vertex of a triangle…
The point of concurrency for three medians.
Midsegment
A segment that connects the midpoints of two sides of a trian…
Point of Concurrency
The point where three or more lines, segments, or rays inters…
22 terms
Geometry Triangles
triangle
vertex
Angles of a triangle are labeled 3 ways:
The sum of the measures of the interio…
3 sided polygon
A common endpoint of two sides of a polygon or an angle.
Three capital letters that name the angle... A capital letter th…
180 degrees
triangle
3 sided polygon
vertex
A common endpoint of two sides of a polygon or an angle.
12 terms
Geometry: Triangles
If all three of the angles of a triang…
If all three angles of an acute triang…
If one of the angles of a triangle is…
If one of the angles of a triangle is…
Acute Triangle
Equiangular Triangle
Obtuse Triangle
Right Triangle
If all three of the angles of a triang…
Acute Triangle
If all three angles of an acute triang…
Equiangular Triangle
22 terms
Geometry Triangles
triangle
vertex
Angles of a triangle are labeled 3 ways:
The sum of the measures of the interio…
3 sided polygon
A common endpoint of two sides of a polygon or an angle.
Three capital letters that name the angle... A capital letter th…
180 degrees
triangle
3 sided polygon
vertex
A common endpoint of two sides of a polygon or an angle.
16 terms
GEOMETRY: TRIANGLES
acute triangle
obtuse triangle
right triangle
scalene triangle
has only acute angles
has one obtuse angle
has one right angle
has no congruent sides
acute triangle
has only acute angles
obtuse triangle
has one obtuse angle
11 terms
Geometry - Triangles
SSS
SAS
ASA
AAS
Three sides of one triangle are congruent to three sides of a…
Two sides and the included angle of one triangle are congruen…
Two angles and the included side of one triangle are congruen…
Two angles and the non-included side of one triangle are cong…
SSS
Three sides of one triangle are congruent to three sides of a…
SAS
Two sides and the included angle of one triangle are congruen…
8 terms
Geometry Triangles
Acute Scalene
Right
Obtuse Scalene
Acute
all three angles are less than 90 degrees and all three angle…
one angle is exactly 90 degrees
one angle is over 90 degrees and all three angles are different
all three angles are less than 90 degrees
Acute Scalene
all three angles are less than 90 degrees and all three angle…
Right
one angle is exactly 90 degrees
13 terms
Geometry: Triangle ~
Point of Concurrency
Circumcenter
Circumscribed
Incenter
an intersection of 2 lines. NEVER leaves a gap at intersection
point of concurrency of a perpendicular bisector
the name of the circle after you identify the circumcenter
point of concurrency of angle bisector
Point of Concurrency
an intersection of 2 lines. NEVER leaves a gap at intersection
Circumcenter
point of concurrency of a perpendicular bisector
12 terms
Geometry: Triangles
If all three of the angles of a triang…
If all three angles of an acute triang…
If one of the angles of a triangle is…
If one of the angles of a triangle is…
Acute Triangle
Equiangular Triangle
Obtuse Triangle
Right Triangle
If all three of the angles of a triang…
Acute Triangle
If all three angles of an acute triang…
Equiangular Triangle
25 terms
Geometry- Triangles
Triangle
Acute triangle
Right triangle
Obtuse triangle
3 sided polygon
a triangle with 3 acute angles
a triangle with exactly one right angle
a triangle with exactly one obtuse angle
Triangle
3 sided polygon
Acute triangle
a triangle with 3 acute angles
10 terms
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)
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
25 terms
Geometry Special Triangle Segments
Midsegment
Point of Concurrency
Median
Centroid
A segment that connects the midpoints of two sides of a trian…
The point where three or more lines, segments, or rays inters…
a segment that connects the vertex of a triangle with the mid…
The point of concurrency for three medians.
Midsegment
A segment that connects the midpoints of two sides of a trian…
Point of Concurrency
The point where three or more lines, segments, or rays inters…
23 terms
Geometry Triangles
Isosceles Triangle
Equilateral Triangle
Scalene Triangle
Right Triangle
At least 2 sides and 2 interior angles but must be congruent.
All sides and interior angles are congruent and 60 degrees.
No sides and angles are congruent. They all have different me…
It includes one 90 degrees angle.
Isosceles Triangle
At least 2 sides and 2 interior angles but must be congruent.
Equilateral Triangle
All sides and interior angles are congruent and 60 degrees.
13 terms
HOUZE Geometry triangle relationships
midsegment
perpendicular bisector
angle bisector
median
connects two midpoints of a triangle; is 1/2 the size of para…
A line that is perpendicular to a segment at its midpoint.
Ray/segment/line that intersects an angle at the vertex and c…
a segment whose endpoints are a vertex of a triangle and the…
midsegment
connects two midpoints of a triangle; is 1/2 the size of para…
perpendicular bisector
A line that is perpendicular to a segment at its midpoint.
20 terms
Geometry Triangles
triangle
vertex
Angles of a triangle are labeled 3 ways:
The sum of the measures of the interio…
3 sided polygon
A common endpoint of two sides of a polygon or an angle.
Three capital letters that name the angle... A capital letter th…
180 degrees
triangle
3 sided polygon
vertex
A common endpoint of two sides of a polygon or an angle.
9 terms
Geometry TRIANGLES
Vertex angle
Exterior
A right triangle
Complementary
Non congruent angle of an isosceles triangle
The __________ of a triangle is the sum of the remote interio…
Before you can use HL in a proof, you must state that you have
The two acute angles of a right triangle are
Vertex angle
Non congruent angle of an isosceles triangle
Exterior
The __________ of a triangle is the sum of the remote interio…
12 terms
Geometry: Triangles
If all three of the angles of a triang…
If all three angles of an acute triang…
If one of the angles of a triangle is…
If one of the angles of a triangle is…
Acute Triangle
Equiangular Triangle
Obtuse Triangle
Right Triangle
If all three of the angles of a triang…
Acute Triangle
If all three angles of an acute triang…
Equiangular Triangle
22 terms
Right Triangle Geometry
Right Triangle
Pythagorean Theroem
Hypotenuse
Legs
One right angle
a squared + b squared = c squared... a^2 + b^2 = c^2
Longest leg across from rt. angle (c)
Two shorter sides of a rt. triangle (a & b)
Right Triangle
One right angle
Pythagorean Theroem
a squared + b squared = c squared... a^2 + b^2 = c^2
10 terms
geometry triangles
perpendicular bisector
point of concurrency of perpendicular…
angle bisector
point of concurrency of angle bisector
segment, ray, line, or plane that's perpendicular to a segmen…
circumcenter
if a point lies on the bisector angle, then it's equidistant…
incenter
perpendicular bisector
segment, ray, line, or plane that's perpendicular to a segmen…
point of concurrency of perpendicular…
circumcenter
14 terms
Geometry (triangle)
Issosceles
Equilateral
Scalence
Right triangle
Two equal sids
All sids equal
No equal sids
One angle is 90 degree
Issosceles
Two equal sids
Equilateral
All sids equal
12 terms
TRIANGLE GEOMETRY
Inscribed Circle
Incenter of a Triangle
Altitude of a Triangle
In an Accute triangle the angle is ___…
If the sides of the polygon are tangent to the circle. It is…
The point of concurrency of the angle bisector of a triangle.
The perpindicular segment from a vertex to the line containin…
Inside
Inscribed Circle
If the sides of the polygon are tangent to the circle. It is…
Incenter of a Triangle
The point of concurrency of the angle bisector of a triangle.
22 terms
Geometry - Triangles
triangle
vertex
Angles of a triangle are labeled 3 ways:
The sum of the measures of the interio…
3 sided polygon
A common endpoint of two sides of a polygon or an angle.
- Three capital letters that name the angle... - A capital lett…
180 degrees
triangle
3 sided polygon
vertex
A common endpoint of two sides of a polygon or an angle.
15 terms
Geometry triangle
Triangle in equality Theorem
Right triangle
Obtuse triangle
Equiangular triangle
The sum of the lengths of any two sides of a triangle must be…
1 right angle
I obtuse triangle
3 congruent acute angles
Triangle in equality Theorem
The sum of the lengths of any two sides of a triangle must be…
Right triangle
1 right angle
9 terms
Geometry: Triangles
Right Triangle
Acute Triangle
Obtuse Triangle
Equilateral Triangle
a triangle with 1 right angle
a triangle where all 3 angles are acute
a triangle that has 1 obtuse angle
a triangle with 3 congruent sides and 3 congruent angles
Right Triangle
a triangle with 1 right angle
Acute Triangle
a triangle where all 3 angles are acute
8 terms
Geometry Triangles
Altitude
Angle Bisector
Median
Perpendicular Bisector
Altitude
Angle Bisector
8 terms
Geometry - Triangle
Median
Perpendicular Bisector
Altitude
Angle Bisector
Centroid
Circumcenter
Orthocenter
Incenter
Median
Centroid
Perpendicular Bisector
Circumcenter
23 terms
geometry; triangles
third angle theorem
exterior angle theorem
triangle sum theorem
add up to one 180
if two angles of one triangle are congruent to two angles of…
<1+<2=<4 , 2 inside angles add up to outside angle
<1 + <2 +<3 = 180
- vertical angles... - same side interior angles... - supplemetary…
third angle theorem
if two angles of one triangle are congruent to two angles of…
exterior angle theorem
<1+<2=<4 , 2 inside angles add up to outside angle
9 terms
Geometry triangles
Isosceles Triangle
Obtuse Triangle
Obtuse angle
Right Triangle
A triangle with at least two congruent side
A triangle with one obtuse angle.
An angle that measure more than 90 degrees
A triangle with one right angle
Isosceles Triangle
A triangle with at least two congruent side
Obtuse Triangle
A triangle with one obtuse angle.
16 terms
GEOMETRY: TRIANGLES
acute triangle
obtuse triangle
right triangle
scalene triangle
has only acute angles
has one obtuse angle
has one right angle
has no congruent sides
acute triangle
has only acute angles
obtuse triangle
has one obtuse angle
5 terms
Geometry Triangle
CPTC
sss
sas
asa
Corresponding Parts of Congruent Triangles are Congruent
3 pairs of congruent sides
-2 pairs of congruent sides... -1 pair includes congruent angels
-2 pairs of congruent angels... -1 pair of congruent sides
CPTC
Corresponding Parts of Congruent Triangles are Congruent
sss
3 pairs of congruent sides
14 terms
Triangle- Geometry
scalene ( by sides)
Isosceles (by sides)
equilateral ( by sides)
acute ( by angles)
no congruent sides
2 congruent sides
3 congruent sides
degree measure less than 90
scalene ( by sides)
no congruent sides
Isosceles (by sides)
2 congruent sides
27 terms
Geometry Triangles
triangle
isosceles triangle
scalene triangle
acute triangle
a figure formed by three segments joining three non- collinea…
has at least two congruent sides
has no congruent sides
has three acute angles
triangle
a figure formed by three segments joining three non- collinea…
isosceles triangle
has at least two congruent sides
8 terms
Triangle Geometry
Circumcenter
Incenter
Inscribed
Circumscribed
The point of concurrency where the perpendicular bisectors of…
The point of concurrency where the angle bisectors of a trian…
A circle touches each side of a polygon in exactly one point.
A circle touches each vertex of a polygon in exactly one point.
Circumcenter
The point of concurrency where the perpendicular bisectors of…
Incenter
The point of concurrency where the angle bisectors of a trian…
11 terms
geometry triangle
perpendicular bisector
angle bisector
median
altitude
middle of base
middle of top angle
middle of everything
straight down from top angle
perpendicular bisector
middle of base
angle bisector
middle of top angle
6 terms
Geometry triangle
Centroid
Orthocenter
Altitudes
Median
Balancing point, where medians meet
Point where altitudes meet
Perpendicular angle through the vertex
Goes through vertex to midpoint of opposite side, 1/3 from ce…
Centroid
Balancing point, where medians meet
Orthocenter
Point where altitudes meet
10 terms
Triangle Geometry
Midsegment of a Triangle
Concurrent
Altitude of a Triangle
Angle Bisector of a Triangle
The segment joining the midpoints of two sides of a triangle.…
Three or more lines are called concurrent if they all meet at…
The height. The segment from a vertex. The ________ are alway…
The ray from a vertex such that it cuts the angle into two eq…
Midsegment of a Triangle
The segment joining the midpoints of two sides of a triangle.…
Concurrent
Three or more lines are called concurrent if they all meet at…
9 terms
Geometry-Triangle
Polygon
Triangle
Vertex
Acute Triangle
A closed figure with at least 3 sides
A polygon with 3 side, and adds up to 180 degrees
Where two sides meet
All 3 angles are acute
Polygon
A closed figure with at least 3 sides
Triangle
A polygon with 3 side, and adds up to 180 degrees
21 terms
Geometry Triangles
Triangle
Acute triangle
Right triangle
Obtuse triangle
3 sided polygon
a triangle with 3 acute angles
a triangle with exactly one right angle
a triangle with exactly one obtuse angle
Triangle
3 sided polygon
Acute triangle
a triangle with 3 acute angles
10 terms
Geometry Triangles
right triangle
acute triangle
obtuse triangle
scalene triangle
has a right angle
has 3 acute angles
has one obtuse angle
all sides different in length
right triangle
has a right angle
acute triangle
has 3 acute angles
6 terms
Geometry Triangles
circumcenter of a triangle
incenter of a triangle
altitude of a triangle
orthocenter of a triangle
perpendicular bisectors from every triangle side
when all three angles of a triangle are bisected
is a perpendicular segment from a vertex to the line containi…
the point of concurrency of the three altitudes of a triangle
circumcenter of a triangle
perpendicular bisectors from every triangle side
incenter of a triangle
when all three angles of a triangle are bisected
8 terms
Geometry- Triangle vocabulary
POLYGON
TRIANGLE
EQULATERAL TRIANGLE
ISOSCELES TRIANGLE
A CLOSED PLANE FIGURE MADE UP OF LINE SEGMENTS WITH 3 OR MORE…
A POLYGON WITH 3 SIDES AND 3 ANGLES
A TRIANGLE WITH 3 CONGRUENT SIDES
A TRIANGLE WITH 2 CONGRUENT SIDES
POLYGON
A CLOSED PLANE FIGURE MADE UP OF LINE SEGMENTS WITH 3 OR MORE…
TRIANGLE
A POLYGON WITH 3 SIDES AND 3 ANGLES
Geometry Triangles
circumcenter
incenter
centroid
median
point of congruency of the perpendicular bisectors of a trian…
the point of concurrency of the angle bisectors of a triangle
point of concurrency of the medians, it is always inside the…
a segment whose endpoints are a vertex and the midpoint of th…
circumcenter
point of congruency of the perpendicular bisectors of a trian…
incenter
the point of concurrency of the angle bisectors of a triangle
20 terms
Geometry: Triangles
Equilateral
Equiangular
180 degrees
Indicators by which we classify a tria…
all sides are congruent
all angles are congruent
sum of the measure (in degrees) of all three angles in a tria…
sides and angles
Equilateral
all sides are congruent
Equiangular
all angles are congruent
10 terms
Geometry: triangles
circumcenter of a triangle
circumscribed about
concurrent
incenter of a triangle
The point of concurrency of the three perpendicular bisectors…
happens to a circle when the vertices of a polygon lie on the…
happening at the same time; parallel
The point of concurrency of the three angle bisectors of a tr…
circumcenter of a triangle
The point of concurrency of the three perpendicular bisectors…
circumscribed about
happens to a circle when the vertices of a polygon lie on the…
Geometry; Triangles
Side-Side-Side (SSS) Postulate
Side-Angle Side (SAS) Postulate
Third Angles Theorem
Angle-Side-Angle (ASA) Postulate
If three sides of one triangle are congruent to the three sid…
If two sides and the included angle of one triangle of one tr…
If two angles of one triangle are congruent to two angles of…
If two angles and the included side of one triangle are congr…
Side-Side-Side (SSS) Postulate
If three sides of one triangle are congruent to the three sid…
Side-Angle Side (SAS) Postulate
If two sides and the included angle of one triangle of one tr…
15 terms
Geometry: Triangles
Median
Perpendicular Bisectors
Angle Bisectors
Altitude
Median
Perpendicular Bisectors
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