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Study sets matching "honors geometry chapter 3"

28 terms
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…
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.
33 terms
Honors Geometry Chapter 3
Parallel lines
Skew lines
Parallel planes
Parallel Postulate
Coplanar lines that do not intersect
Lines that do not intersect and are not coplanar
Two planes that do not intersect
If there is a line and a point not on the line, then there is…
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
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
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
15 terms
MCPS Honors Geometry Postulates and Theorems Chapter 3
Same-side Interior Angle Postulate... If…
Alternate Interior Angles Theorem... If a…
Corresponding Angles Theorem... If a tran…
Alternate Exterior Angles Theorem... If a…
supplementary... m∠1 + m∠2 = 180
congruent
corresponding
exterior
Same-side Interior Angle Postulate... If…
supplementary... m∠1 + m∠2 = 180
Alternate Interior Angles Theorem... If a…
congruent
15 terms
Honors Geometry: Chapter 3 Vocab
Alternate exterior angles
alternate interior angles
consecutive interior angles
corresponding angles
Alternate exterior angles
alternate interior angles
28 terms
Honors Geometry Chapter 3 Vocabulary
parallel lines
skew lines
parallel planes
transversal
coplanar lines that don't intersect
noncoplanar; they aren't parallel and don't intersect
planes that don't intersect
a line that intersects two or more coplanar lines at distinct…
parallel lines
coplanar lines that don't intersect
skew lines
noncoplanar; they aren't parallel and don't intersect
13 terms
Honors Geometry Chapter 3 Definitions
Parallel Planes
Parallel Lines
Skew Lines
Transversal
Planes that do not intersect
Coplanar lines that don't intersect
Noncoplanar lines that don't intersect
A line that intersects two other lines
Parallel Planes
Planes that do not intersect
Parallel Lines
Coplanar lines that don't intersect
13 terms
Geometry Honors chapter 3 vocabulary
Parallel lines
Skew lines
Parallel planes
Transversal
Two lines that do not intersect and are coplanar
Lines that do not intersect and are not coplanar
Two planes that do not intersect
A line that intersects two or more coplanar lines at differen…
Parallel lines
Two lines that do not intersect and are coplanar
Skew lines
Lines that do not intersect and are not coplanar
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
32 terms
Geometry Honors Chapter 3 Vocabulary & Postulates
Parallel lines
Skew Lines
Parallel Planes
Consecutive Interior Angles
Coplanar lines that do not intersect
Lines that do not intersect and are not coplanar
Planes that do not intersect
interior angles that lie on the same side of a transversal
Parallel lines
Coplanar lines that do not intersect
Skew Lines
Lines that do not intersect and are not coplanar
10 terms
Honors Geometry Chapter3-1
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.
A line that intersects two or more coplanar lines at two diff…
Parallel Lines
Are coplanar lines that do not intersect.
Skew lines
Are lines that do not intersect and are not coplanar.
29 terms
Honors Geometry (Berry): Chapter 3
Parallel lines
Skew lines
Parallel planes
Transversal
coplanar lines that do not intersect
lines that do no intersect and are not coplanar
planes that do no 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 no intersect and are not coplanar
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
57 terms
Chapter 3 Honors Geometry, Murphy
parallel lines
skew lines
parallel planes
a Line and a plane are parallel if...
coplanar lines that do not intersect
noncoplanar lines
planes that don't intersect
they don't intersect
parallel lines
coplanar lines that do not intersect
skew lines
noncoplanar lines
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
16 terms
Geometry Honors Chapter 3 Review
Parallel lines
Parallel planes
Rule 1
Corresponding angles
Lines which are coplanar and do not intersect
Planes that do not intersect
A line and a plane are parallel if they do not intersect
Two angles in corresponding positions relative to the two lin…
Parallel lines
Lines which are coplanar and do not intersect
Parallel planes
Planes that do not intersect
40 terms
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 Chapter 3 Theorems
Theorem
Alt Int ∠'s ≅
Alt Ext∠'s ≅
Same Side Int ∠'s Supp
If plane A is parallel to plane B and l is and element of A a…
If you have parallel lines cut by a transversal, then alterna…
If you have parallel lines cut by a transversal, then alterna…
If you have parallel lines cut by a transversal, then same si…
Theorem
If plane A is parallel to plane B and l is and element of A a…
Alt Int ∠'s ≅
If you have parallel lines cut by a transversal, then alterna…
16 terms
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…
22 terms
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
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
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
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
34 terms
Geometry Honors Chapter 3 Vocabulary
Parallel Lines
Skew Lines
Parallel Planes
Alternate Interior Angles
Coplanar lines that do not intersect; associated with ||
Noncoplanar; not parallel and do not intersect
Planes that do not intersect
Nonadjacent interior angles that lie on opposite sides of the…
Parallel Lines
Coplanar lines that do not intersect; associated with ||
Skew Lines
Noncoplanar; not parallel and do not intersect
27 terms
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
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…
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…
28 terms
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
19 terms
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
21 terms
Geometry Honors: Chapter 3
parallel lines
perpendicular lines
skew lines
parallel planes
( ‖ ) are coplanar and do not intersect.
( ⊥ ) lines that intersect at 90º angles.
lines that are not coplanar. Skew lines are not parallel and…
planes that do not intersect
parallel lines
( ‖ ) are coplanar and do not intersect.
perpendicular lines
( ⊥ ) lines that intersect at 90º angles.
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
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
11 terms
Honors Geometry Chapter 3 vocab
Alternate Interior Angles (AIA)
Alternate Exterior Angles (AEA)
Consecuticve Interior Angles or Same s…
Corresponding Angles (CA)
two angles on the same side of the interior
Alternate Interior Angles (AIA)
Alternate Exterior Angles (AEA)
8 terms
Honors Geometry CHAPTER 3 Vocabulary
Corresponding Angles Theorems
Alternate Interior Angles Theorem
Same-Side Interior Angles Postulate
Alternate Exterior Angles Theorem
If a transversal interactions two parallel lines, then corres…
If a transversal intersects two parallel lines, then alternat…
If a transversal intersects two parallel lines, then same-sid…
If a transversal intersects two parallel lines, then alternat…
Corresponding Angles Theorems
If a transversal interactions two parallel lines, then corres…
Alternate Interior Angles Theorem
If a transversal intersects two parallel lines, then alternat…
14 terms
Geometry Honors Chapter 3 Vocabulary
Parallel Lines
Skew Lines
Parallel Planes
Postulate 13: ... Parallel Postulate
coplanar lines that do not intersect
Lines that do not intersect and are not coplanar
two planes that do not intersect
If there is a line and a point not on the line, there is exac…
Parallel Lines
coplanar lines that do not intersect
Skew Lines
Lines that do not intersect and are not coplanar
14 terms
Honors geometry vocab chapter 3
Parallel lines
Skew lines
Parallel planes
Transversal
Two Lines that do not intersect and are coplanar
Lines that don't intersect and are not coplanar
Two planes that do not intersect
A line that intersects two or more coplanar lines at differen…
Parallel lines
Two Lines that do not intersect and are coplanar
Skew lines
Lines that don't intersect and are not coplanar
13 terms
Honors Geometry Chapter 3.1-3.2
Parallel lines
Skew lines
Parallel planes
//
2 lines that do not intersect, but are coplanar
2 lines that do not intersect, but are not coplanar
2 planes that do not intersect
Parallel symbol
Parallel lines
2 lines that do not intersect, but are coplanar
Skew lines
2 lines that do not intersect, but are not coplanar
8 terms
Honors Geometry: Chapter 3 Vocab
orthocenter
circumcenter
incenter
centroid
the point at which the three altitudes of a triangle intersect.
It is also the center of the circle circumscribed around a tr…
the point at which the angle bisectors of a triangle intersec…
the point at which the medians of a triangle intersect. It is…
orthocenter
the point at which the three altitudes of a triangle intersect.
circumcenter
It is also the center of the circle circumscribed around a tr…
35 terms
Chapter 3 Vocab- Geometry Honors
Parallel lines
Perpendicular lines
Skew lines
Parallel planes
Coplanar lines that do NOT intersect; written as ||
Lines that intersect at a 90 degree angle; written as ⊥
NOT coplanar, NOT parallel, do NOT intersect lines
Planes that do NOT intersect
Parallel lines
Coplanar lines that do NOT intersect; written as ||
Perpendicular lines
Lines that intersect at a 90 degree angle; written as ⊥
14 terms
Honors Geometry Chapter 3 Vocab
Parallel Lines
Skew Lines
Parallel Planes
Transversal
Don't intersect and are coplanar
Two lines that don't intersect intersect and aren't coplanar
Two planes that don't intersect
A line that intersects two or more coplanar lines at differen…
Parallel Lines
Don't intersect and are coplanar
Skew Lines
Two lines that don't intersect intersect and aren't coplanar
37 terms
Honors Geometry Chapter 3-4 Vocab
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Same Side Interior Angles
Angles that lie within a pair of lines and on opposite side o…
Angles that lie outside a pair of lines and on opposite sides…
Angles that lie on the same side of the traversal and in the…
Two angles that lie between the two lines on the same side of…
Alternate Interior Angles
Angles that lie within a pair of lines and on opposite side o…
Alternate Exterior Angles
Angles that lie outside a pair of lines and on opposite sides…
30 terms
Honors Geometry Chapter 3 Vocab
slope
slope-intercept form
point-slope form
slopes of parallel lines
the ratio of the vertical change to the horizontal change bet…
y = mx + b
y - y1 = m (x - x1)
If two nonvertical lines are parallel, then their slopes are…
slope
the ratio of the vertical change to the horizontal change bet…
slope-intercept form
y = mx + b
25 terms
Honors Geometry- Chapter 3 terms
parallel lines
skew lines
parallel planes
interior angles
coplanar lines that do not intersect
lines that do not intersect and are not coplanar
planes that do not intersect
four angles that lie in the region between two lines
parallel lines
coplanar lines that do not intersect
skew lines
lines that do not intersect and are not coplanar
8 terms
Chapter 3 Honors Geometry
Triangles
Congruent, top
Size, shape
"Implies"
In congruent ______ all pairs of corresponding parts are cong…
In general, two geometric figures are _____ if one of them co…
Congruent figures have the same _____ and _____
-> means ("If then....")
Triangles
In congruent ______ all pairs of corresponding parts are cong…
Congruent, top
In general, two geometric figures are _____ if one of them co…
25 terms
Chapter 3 Honors Geometry Vocab
parallel lines
skew lines
transversal
alternate interior angles
-don't intersect... -coplanar
-don't intersect... -noncoplanar
a line that intersects two or more coplanar lines
two non adjacent interior angles on opposite sides of the tra…
parallel lines
-don't intersect... -coplanar
skew lines
-don't intersect... -noncoplanar
29 terms
Geometry Honors Chapter 3
parallel lines
intersecting lines
skew lines
parallel planes
coplanar lines that never inersect
coplanar lines that share one point
2 lines that do not lie in the same plane AND do not intersect
planes that do not intersect
parallel lines
coplanar lines that never inersect
intersecting lines
coplanar lines that share one point
24 terms
Honors Geometry chapter 3
Triangle
Scalene triangle
Isosceles triangle
Equilateral triangle
A polygon with three sides
A triangle with no congruent sides
A triangle with at least two congruent sides
A triangle with all of its sides congruent
Triangle
A polygon with three sides
Scalene triangle
A triangle with no congruent sides
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