Study sets matching "honors geometry 3"

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Study sets matching "honors geometry 3"

Honors Geometry Chapter 3
Parallel Lines
Skew Lines
Parallel Planes
If two parallel planes are cut by a th…
COPLANAR lines that do not intersect
NON coplanar lines that to not intersect (think left/right an…
Planes that do not intersect (Think floor and ceiling)
If planes X and Y are parallel, then their lines of intersect…
Parallel Lines
COPLANAR lines that do not intersect
Skew Lines
NON coplanar lines that to not intersect (think left/right an…
10 terms
Chapter 3 Geometry Honors
Parallel
Skew
Transversal
Corresponding
Lines that do not intersect
Lines that do not intersect and are not coplanar
A line that intersect a set of parallel lines
A pair of angles that are in the "same spot" and do not touch…
Parallel
Lines that do not intersect
Skew
Lines that do not intersect and are not coplanar
Unit 3 Honors Geometry
Betweenness of points theorem
Betweenness of rays theorem
Complements of the same angle
Supplements of the same angle
A-B-C, then AB+BC=AC
OA-OB-OC, then <AOB+<BOC=<AOC
are equal
are equal
Betweenness of points theorem
A-B-C, then AB+BC=AC
Betweenness of rays theorem
OA-OB-OC, then <AOB+<BOC=<AOC
15 terms
Geometry Honors 1.1 - 1.3 Terms
Line AB
collinear points
plane
coplanar
2 or more points joined with no thickness or width that exten…
points that lie on the same line
flat 2 dimensional surface that extends indefinitely in all d…
objects that lie on the same plane
Line AB
2 or more points joined with no thickness or width that exten…
collinear points
points that lie on the same line
geometry honors vocab 3
alternate exterior angles
alternate interior angles
corresponding angles
same side interior angles
nonadjacent exterior angles that lie on opposite sides of the…
nonadjacent interior angles that lie on opposite sides of the…
angles that lie on the same side of the transversal and in co…
interior angles that lie on the same side of the transversal
alternate exterior angles
nonadjacent exterior angles that lie on opposite sides of the…
alternate interior angles
nonadjacent interior angles that lie on opposite sides of the…
34 terms
Honors Geometry Chapter 3
Transversal
Alternate Interior Angles
Same-Side Interior Angles
Corresponding Angles
A line that intersects 2 coplanar lines at 2 distinct points
Transversal
A line that intersects 2 coplanar lines at 2 distinct points
Alternate Interior Angles
20 terms
Honors Geometry Chapter 3 Vocabulary
Parallel Lines
Skew Lines
Parallel Planes
Transversal Line
Coplanar lines that do not intersect.
Lines that do not intersect and are not coplanar.
Planes that do not intersect.
A line that intersects two or more coplanar lines at two diff…
Parallel Lines
Coplanar lines that do not intersect.
Skew Lines
Lines that do not intersect and are not coplanar.
11 terms
Honors Geometry Unit 3
parallel lines
skew lines
parallel planes
transversal
coplanar lines that do not intersect.
lines that do not intersect and are not coplanar
planes that do not intersect
a line that intersects two or more coplanar lines at two diff…
parallel lines
coplanar lines that do not intersect.
skew lines
lines that do not intersect and are not coplanar
Honors Geometry Unit 3 Vocabulary
Transversal
Alternate Interior Angles (AIA)
Same Side Interior Angles (SSIA)
Corresponding Angles (CA)
A line that intersects two or more lines.
Angles on opposite sides of the transversal in between the in…
Angles on the same side of the transversal in between the int…
In the same position around the transversal.
Transversal
A line that intersects two or more lines.
Alternate Interior Angles (AIA)
Angles on opposite sides of the transversal in between the in…
18 terms
Honors Geometry: Ch. 3
Parallel lines
Skew lines
Parallel planes
Transversal
coplanar lines that do not intersect
lines that do not intersect and are not coplanar
planes that do not intersect
a line that intersects two or more coplanar lines at two diff…
Parallel lines
coplanar lines that do not intersect
Skew lines
lines that do not intersect and are not coplanar
26 terms
Guebert Geometry Honors Chapter 3
Congruent Triangles
Reflection
Translation
Rotation
Two or more triangles where all pairs of corresponding parts…
a mirror image
a slide
a circular movement
Congruent Triangles
Two or more triangles where all pairs of corresponding parts…
Reflection
a mirror image
30 terms
Honors Geometry Chapter 3
parallel lines
skew lines
parallel planes
parallel postulate
two lines if they do not intersect and are coplanar
two lines if they do not intersect and are not coplanar
two planes if they do not intersect
if there is a line and a point not on a line, then there is e…
parallel lines
two lines if they do not intersect and are coplanar
skew lines
two lines if they do not intersect and are not coplanar
5 terms
Honors Geometry 4-3
congruent
congruent polygons
corresponding parts
Theorem 4.3 Third Angles Theorem
When two geometric figures have exactly the same shape and size
when all parts of one polygon are congruent to each other
matching parts of the other polygon
If two angles of one triangle are congruent to two angles of…
congruent
When two geometric figures have exactly the same shape and size
congruent polygons
when all parts of one polygon are congruent to each other
Honors Geometry 3.
angle bisector
perpendicular bisector
median
altitude
a ray that divides an angle into 2 congruent angles
a line/ray/segment that bisects a segment and is perpendicula…
a segment drawn from a vertex of a triangle to the midpoint o…
a segment drawn from a vertex of a triangle perpendicular to…
angle bisector
a ray that divides an angle into 2 congruent angles
perpendicular bisector
a line/ray/segment that bisects a segment and is perpendicula…
6 terms
Honors Geometry 3-5
Converse of Corresponding Angles Postu…
Parallel Postulate
Alternate Exterior Angles Converse
Consecutive Interior Angles Converse
If two lines are cut by a transversal so that corresponding a…
If given a line and a point not on the line, then there exist…
If two lines in a plane are cut by a transversal so that a pa…
If two lines in a plane are cut by a transversal so that a pa…
Converse of Corresponding Angles Postu…
If two lines are cut by a transversal so that corresponding a…
Parallel Postulate
If given a line and a point not on the line, then there exist…
7 terms
Geometry Honors
Ray
Line segment
Line
3d
A part of a line, with one endpoint, that continues without e…
A part of a line with two endpoints
A straight path that goes without end in two directions.
having height, width, and depth
Ray
A part of a line, with one endpoint, that continues without e…
Line segment
A part of a line with two endpoints
10 terms
Honors Geometry Chapter 3
CPCTC
angle bisector
perpendicular bisector
Median
Corresponding ... Parts of ... Congruent ... Triangle are... Congruent
a ray that divides an angle into 2 congruent angles- max 3
a ray or segment that bisects a segment into 2 congruent segm…
a segment drawn from a vertex of a triangle to the midpoint o…
CPCTC
Corresponding ... Parts of ... Congruent ... Triangle are... Congruent
angle bisector
a ray that divides an angle into 2 congruent angles- max 3
14 terms
Honors Geometry - Unit 3
Segment Addition Postulate
Angle Addition Postulate
Addition Property
Subtraction Property
If B is a point on AC, then AB + BC = AC.
If point B lies in the interior of <AOC then m<AOB+ m<BOC = m…
If a = b, then a + c = b + c.
If a = b and c = d, then a - c = b - d.
Segment Addition Postulate
If B is a point on AC, then AB + BC = AC.
Angle Addition Postulate
If point B lies in the interior of <AOC then m<AOB+ m<BOC = m…
10 terms
Ch. 3 Vocabulary Geometry Honors
parallel lines
skew lines
parallel planes
transversal
two lines side by side that do not intersect or meet
noncoplanar and non-intersecting lines
two planes that do not intersect
a line that intersects two or more lines in a plane at differ…
parallel lines
two lines side by side that do not intersect or meet
skew lines
noncoplanar and non-intersecting lines
Honors Geometry Ch. 3
Midsegment
Circumcenter
Median
Centroid
A segment that connects 2 midpoints
Perpendicular bisectors in a triangle & in/out/on triangle (h…
A segment passing through a vertex and the midpoint of the op…
Medians in a triangle & always inside triangle & form trisect…
Midsegment
A segment that connects 2 midpoints
Circumcenter
Perpendicular bisectors in a triangle & in/out/on triangle (h…
Honors Geometry Chapter 3
Sketch
Draw
Construct
Duplicate
freehand, not exact, no tools
careful and accurate with geometry tools
use compass and straightedge, with patty paper fold the paper…
copy using tools
Sketch
freehand, not exact, no tools
Draw
careful and accurate with geometry tools
11 terms
Honors Geometry Ch3
Parallel Lines
Skew Lines
Parallel Planes
Transversal
coplanar lines that do not intersect
lines that do not intersect and are not coplanar
planes that do not intersect
a line that intersects two or more coplanar lines at two diff…
Parallel Lines
coplanar lines that do not intersect
Skew Lines
lines that do not intersect and are not coplanar
Honors geometry #3
Parallel lines
Parallel planes
Skew lines
Transversal
Coplanar lines that do not intersect
Planes that do not intersect
Lines that do not intersect and are not coplanar
A line that intersects 2 or more coplanar lines at two differ…
Parallel lines
Coplanar lines that do not intersect
Parallel planes
Planes that do not intersect
25 terms
honors geometry section 3
parallel lines,
skew lines
parallel planes
transversal
they are coplanar and not do intersect
are not on the same plane, and do not intersect
two planes that do not intersect
a line that passes through two lines in the same plane on two…
parallel lines,
they are coplanar and not do intersect
skew lines
are not on the same plane, and do not intersect
38 terms
Chapter 3 Honors Geometry
Undefined Terms
Carefully Defined
Postulates
Theorems
Such as point, line, plane
Most terms in a mathematical system are
Basic properties accepted without proofs
Other properties established by proofs
Undefined Terms
Such as point, line, plane
Carefully Defined
Most terms in a mathematical system are
Honors Geometry: Unit 3 Vocab
Circumcenter
Incenter
Median
Centroid
Where the perpendicular bisectors of a triangle intersect. (L…
The angle bisectors intersect at a point that is equidistant…
A segment whose endpoints are a vertex of a triangle and the…
Where the three medians of the triangle intersect. (always in…
Circumcenter
Where the perpendicular bisectors of a triangle intersect. (L…
Incenter
The angle bisectors intersect at a point that is equidistant…
12 terms
Unit 3 Honors Geometry
45-45-90
30-60-90 H
30-60-90 LL
Hyp
L*square root of 2=H
SL*2=H
SL*square root of 3=LL
opp 90
45-45-90
L*square root of 2=H
30-60-90 H
SL*2=H
Honors Geometry chapter3
parallel lines
skew lines
transversal
alternate interior angles
coplanar lines that do not intersect
non coplanar lines ,they are neither parallel nor intersecting
a line that intersects two or more coplanar lines in differen…
two nonadjacent interior angles on opposite sides of the tran…
parallel lines
coplanar lines that do not intersect
skew lines
non coplanar lines ,they are neither parallel nor intersecting
15 terms
Honors Geometry Unit 3
angle bisector of a triangle
concurrent
incenter
altitude of a triangle
3 or more things happening at the same time/place
concurrent intersection of the 3 angle bisectors
angle bisector of a triangle
concurrent
3 or more things happening at the same time/place
19 terms
honors geometry chapter 3
parallel
skew
transversal
corresponding angles postulate
-lines that do not intersect... -lines in the same plane that do…
lines that are not in the same plane and do not intersect
-line that intersects two or more lines in a plane at differe…
if two parallel lines are cut by a transversal, then each pai…
parallel
-lines that do not intersect... -lines in the same plane that do…
skew
lines that are not in the same plane and do not intersect
Honors Geometry Chapter 3
parallel lines
skew lines
parallel planes
transversal
are coplanar lines that do not intersect
are lines that do not intersect and are not coplanar
are planes that do not intersect
is a line that intersects two or more coplanar lines at two d…
parallel lines
are coplanar lines that do not intersect
skew lines
are lines that do not intersect and are not coplanar
Chapter 3 Geometry Honors
Alternate Exterior Angles
Alternate Interior Angles
Corresponding angles
Distance From a Point to a Line
For two lines intersected by a transversal, a pair of angles…
For two lines intersected by a transversal, a pair of nonadja…
For two lines intersected by a transversal, a pair of angles…
The length of the perpendicular segment from the point to the…
Alternate Exterior Angles
For two lines intersected by a transversal, a pair of angles…
Alternate Interior Angles
For two lines intersected by a transversal, a pair of nonadja…
Honors Geometry Chapter 3
parallel lines
skew lines
parallel planes
transversal
coplanar lines that do not intersect
lines that do not intersect and are not coplanar
planes that do not instersect
a line that intersects two or more coplanar lines at two diff…
parallel lines
coplanar lines that do not intersect
skew lines
lines that do not intersect and are not coplanar
12 terms
Honors Geometry ch.3
alternate exterior angles
alternate interior angles
consecutive interior angles
corresponding angles
Angle 1 & angle 7, angle 2 & angle 8 are alternate exterior a…
Angle 4 & angle 6, angle 3 & angle 5 are alternate interior a…
one the same side a transversal; inside
positionaly the same
alternate exterior angles
Angle 1 & angle 7, angle 2 & angle 8 are alternate exterior a…
alternate interior angles
Angle 4 & angle 6, angle 3 & angle 5 are alternate interior a…
8 terms
Honors Geometry: Ch 3
parallel lines
parallel planes
skew lines
transversal
coplanar lines that do not intersect
planes that do not intersect
lines that do not intersect and are not coplanar
a line that intersects two or more lines in a plane at differ…
parallel lines
coplanar lines that do not intersect
parallel planes
planes that do not intersect
64 terms
Honors Geometry: Chapter 3 Vocab
parallel lines
intersecting lines
skew lines
parallel planes
-coplanar lines that do not intersect, they remain evenly spa…
-coplanar lines that share one point
-non-coplanar lines
-planes that never intersect, spacing remains even
parallel lines
-coplanar lines that do not intersect, they remain evenly spa…
intersecting lines
-coplanar lines that share one point
37 terms
Geometry Honors Chapter 3
parallel lines
skew lines
parallel planes
a line parallel to a plane
two lines that are coplanar and never intersect
two lines that are non coplanar
two planes that never intersect
a line and a plane that never intersect
parallel lines
two lines that are coplanar and never intersect
skew lines
two lines that are non coplanar
Honors geometry chapter 3
Parallel lines
Skew lines
Parallel planes
Postulate 13/14: Parallel/perpendicula…
Coplanar lines that do jot intersect
Non-Coplanar lines that do not intersect
Planes that do not intersect
If there is a line and a point not on that line, then there i…
Parallel lines
Coplanar lines that do jot intersect
Skew lines
Non-Coplanar lines that do not intersect
Honors Geometry Vocab Chapter 3
congruent triangles
congruent polygons
reflexive property
slide
triangles with all pairs of corresponding parts congruent
polygons with all pairs of corresponding parts congruent
when a side or angle is congruent with/shared with itself
move straight in one direction
congruent triangles
triangles with all pairs of corresponding parts congruent
congruent polygons
polygons with all pairs of corresponding parts congruent
13 terms
Chapter 3 - Honors Geometry
Parallel Lines
Skew Lines
Parallel Planes
Transversal
Coplanar lines that do not intersect
Lines that do not intersect and are NOT coplanar
Planes that do not intersect
A line that intersects two or more coplanar lines at two diff…
Parallel Lines
Coplanar lines that do not intersect
Skew Lines
Lines that do not intersect and are NOT coplanar
Honors Geometry Chapter 3 Vocabulary
Parallel Lines
parallel planes
skew lines
Transversal
coplanar lines that never intersect
planes that never intersect
lines that are not in the same plane and never intersect
line that intersects 2 or more lines in a plane
Parallel Lines
coplanar lines that never intersect
parallel planes
planes that never intersect
16 terms
Honors Geometry Chapter 3
sketch
draw
construct
segment bisector
make freehand
use a protractor and ruler to be sure angles and sides are ex…
use compass and straight edge, do not erase
a line, ray, or segment that passes through the midpoint of t…
sketch
make freehand
draw
use a protractor and ruler to be sure angles and sides are ex…
Geometry Honors (Unit 3)
Adjacent Angles
Linear Pair
Vertical Angles
Complementary Angles
Two angles that have no common vertex and a common side but n…
Two adjacent angles that are supplementary or form a straight…
Formed by intersecting lines and are across from one another.
Two angles whose sum is 90 degrees.
Adjacent Angles
Two angles that have no common vertex and a common side but n…
Linear Pair
Two adjacent angles that are supplementary or form a straight…
28 terms
Unit 3 honors geometry
Axiom
Betweenness of points dfinition
Betweenness of Rays definition
Bisector of an angle
A self evident or aceept rule
A point is between two other points on the same line iff it's…
A ray is between two other Rays in the same hLf rotation iff…
A line bisects an angle iff it divides the angle into two equ…
Axiom
A self evident or aceept rule
Betweenness of points dfinition
A point is between two other points on the same line iff it's…
39 terms
Honors Geometry Chapter 3
Parallel lines
Skew lines
Parallel planes
A line and plane are parallel if
Coplanar lines that do not intersect
Noncoplanar lines
Planes that do not intersect
They do not intersect
Parallel lines
Coplanar lines that do not intersect
Skew lines
Noncoplanar lines
14 terms
Honors Geometry Unit 3
parallel lines
skew lines
parallel planes
transversal
coplanar lines that do not intersect.
lines that do not intersect and are not coplanar
planes that do not intersect
a line that intersects two or more coplanar lines at two diff…
parallel lines
coplanar lines that do not intersect.
skew lines
lines that do not intersect and are not coplanar
33 terms
Unit 3 Honors Geometry Vocabulary
Betweenness of Points Theorem
Betweenness of Rays theorem
Complements of the same angle are ____…
Supplements of the same angle are ____…
A-B-C, then AB+BC=AC
OA-OB-OC, then <AOB+<BOC=<AOC
Complements of the same angle are equal.
Supplements of the same angle are equal.
Betweenness of Points Theorem
A-B-C, then AB+BC=AC
Betweenness of Rays theorem
OA-OB-OC, then <AOB+<BOC=<AOC
Honors Geometry Chapter 3
Parallel Lines
Skew Lines
Parallel Planes
Transversal
coplanar lines that never intersect
lines that are not coplanar, not parallel, and don't intersect
planes that do not intersect
a line that intersects 2 or moe coplanar lines at distinct po…
Parallel Lines
coplanar lines that never intersect
Skew Lines
lines that are not coplanar, not parallel, and don't intersect
35 terms
Honors Geometry Ch.3
congruent angles
congruent figures
reflexive property
included angle
all pairs of corresponding parts are congruent
have the same shape and the same size
any segment or angles is congruent to itself
the angle formed by two sides of a triangle
congruent angles
all pairs of corresponding parts are congruent
congruent figures
have the same shape and the same size
27 terms
Honors Geometry: Chapter 3
Skew
Transversal
Corresponding angles
Alternate interior angles
No points in common, not in the same plane
A line which intersects two or more coplanar lines at differe…
Make an F shape
Make a Z shape, on opposite sides of the transversal and inne…
Skew
No points in common, not in the same plane
Transversal
A line which intersects two or more coplanar lines at differe…
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