Study sets matching "geometry chapter 3"

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Study sets matching "geometry chapter 3"

Geometry Chapter 3
theorem 19
theorem 20
theorem 21
theorem unnumbered #1
all radii of a circle are congruent
if two sides of a triangle are congruent, the angles opposite…
if two angles of a triangle are congruent, the sides opposite…
if two sides of a triangle are not congruent, the the angles…
theorem 19
all radii of a circle are congruent
theorem 20
if two sides of a triangle are congruent, the angles opposite…
11 terms
Geometry Chapter 3
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Consecutive 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…
Two angles that are formed by two lines cut by a transversal…
Angles that lie within a pair of lines and on the same side o…
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…
5 terms
Geometry (Chapter 3)
if Consecutive Interior Angles are sup…
If Alternate Interior Angles are ≅, li…
if || lines are cut by a transversal,…
Vertical Angles Theorem
∠3 & ∠5 are supplementary
∠3 ≅ ∠6
Horizontal lines in the picture are ||. What tells us that ∠1…
∠1 ≅ ∠4
if Consecutive Interior Angles are sup…
∠3 & ∠5 are supplementary
If Alternate Interior Angles are ≅, li…
∠3 ≅ ∠6
29 terms
Geometry Chapter 3
space
edges
collinear
coplanar
set of all points, not flat
segments with points
all points in a set on a line
all points in a set in a plane
space
set of all points, not flat
edges
segments with points
13 terms
Geometry Chapter 3 Vocabulary
Parallel lines
skew lines
Parallel planes
transversal
coplanar lines that do not interest
lines that do not interest and are not coplanar
planes that do not intersect
a line that intersect two or more coplanar lines at two diffe…
Parallel lines
coplanar lines that do not interest
skew lines
lines that do not interest and are not coplanar
8 terms
Geometry: Chapter 3 Vocabulary
parallel lines
skew lines
parallel planes
transversal
2 lines that are coplanar and do not intersect
2 lines that do not intersect and are not coplanar
2 planes that do not intersect
A line that intersects 2 or more coplanar lines at different…
parallel lines
2 lines that are coplanar and do not intersect
skew lines
2 lines that do not intersect and are not coplanar
29 terms
Geometry Chapter 3
Parallel Lines
Skew Lines
Parallel Planes
Transversal
Two or more lines in the same plane that do not intersect
Two or more lines that are in different planes and do not int…
Two or more planes that do not intersect
A line that intersects two other coplanar lines at two differ…
Parallel Lines
Two or more lines in the same plane that do not intersect
Skew Lines
Two or more lines that are in different planes and do not int…
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.
37 terms
Geometry Chapter 3 terms
coinciding lines
intersecting lines
parallel lines
perpendicular lines
-same line... -have same slope... -have same y-intercept
-lines that intersect and have different slopes and different…
-have same slope... -have different y-intercepts
-have opposite reciprocal slopes... (slopes opposite)
coinciding lines
-same line... -have same slope... -have same y-intercept
intersecting lines
-lines that intersect and have different slopes and different…
19 terms
Geometry Chapter 3 Parallel Lines
Definition of Parallel Lines
Symbol used to denote two parallel lines
Parallel Planes
Skew Line
Two lines on the same plane that do not intersect.
Two planes that do not intersect
Two lines that do not intersect AND are not on the same plan.
Definition of Parallel Lines
Two lines on the same plane that do not intersect.
Symbol used to denote two parallel lines
11 terms
Geometry - Chapter 3
parallel lines
perpendicular lines
skew lines
parallel planes
coplanar lines that do not intersect
two lines that intersect at 90 angles
lines that do not intersect and are not coplanar
planes that do not intersect
parallel lines
coplanar lines that do not intersect
perpendicular lines
two lines that intersect at 90 angles
10 terms
Geometry Chapter 3
If two angles are complementary to the…
Complementary Angles
Adjecent Angles
Linear Pairs
... then they are equal (congruent).
Two angles whose sum is 90 degrees.
These are angles that have a common vertex and a common side…
A pair of adjacent angles whose exterior sides form a straigh…
If two angles are complementary to the…
... then they are equal (congruent).
Complementary Angles
Two angles whose sum is 90 degrees.
27 terms
Geometry Chapter 3 Vocabulary
parallel lines
perpendicular lines
skew lines
parallel planes
coplanar lines that do not intersect
lines that intersect at a 90 degree angle
lines that are not coplanar, not parallel and do not intersect
planes that do not intersect
parallel lines
coplanar lines that do not intersect
perpendicular lines
lines that intersect at a 90 degree angle
31 terms
Geometry chapter 3
The Reflexive Property
The Substitution Property
The Addition Property
The Subtraction Property
a = a.
If a = b, then a can be substituted for b in any expression.
If a = b, then a + c = b + c.
If a = b, then a - c = b - c.
The Reflexive Property
a = a.
The Substitution Property
If a = b, then a can be substituted for b in any expression.
Geometry Terms, Chapter 3
Parallel Lines
Perpendicular Lines
Skew Lines
Parallel Planes
Two lines that lie in the same plane but do not intersect
Two lines that if they intersect they form a right angle
Two lines that do not lie in the same plane and they never in…
Two planes that do not intersect
Parallel Lines
Two lines that lie in the same plane but do not intersect
Perpendicular Lines
Two lines that if they intersect they form a right angle
7 terms
Geometry Chapter 3
Transversal
Alternate Interior Angles
Corresponding Angles
Same-Side Interior Angles
A line that intersects two coplanar lines at two distinct poi…
Angles that lie within (inside, in the interior) a pair of li…
Angles formed by a transversal cutting through 2 or more line…
Two interior angles on the same side of the transversal... If t…
Transversal
A line that intersects two coplanar lines at two distinct poi…
Alternate Interior Angles
Angles that lie within (inside, in the interior) a pair of li…
Geometry Chapter 3 Vocabulary
Parallel Lines
Vertical Angles
Supplementary Angles
Alternate Interior Angles
Coplanar lines that do not intersect
Two angles whose sides form two pairs of opposite rays
Two angles are supplementary if the sum of their measures is…
Nonadjacent interior angles that lie on opposite sides of the…
Parallel Lines
Coplanar lines that do not intersect
Vertical Angles
Two angles whose sides form two pairs of opposite rays
Chapter 3 Geometry
Point
Line
line segment
ray
.
Point
.
Line
Geometry Chapter 3 terms
Slope means
Graph the following points on coordina…
Name the quadrant each of points are in:
Write the slope formula
rise/ run or the ______________ of a line
A- ... B- ... C- ... D- ... E- ... F-
m =
Slope means
rise/ run or the ______________ of a line
Graph the following points on coordina…
19 terms
Geometry Concepts and Skills Chapter 3 Vocabulary
Parallel Lines
Perpendicular Lines
Skew Lines
Parallel Planes
Lines in the same plane that never intersect
Two lines that intersect to form right angles
Lines that do not intersect and are not coplanar
Planes that do not intersect
Parallel Lines
Lines in the same plane that never intersect
Perpendicular Lines
Two lines that intersect to form right angles
Geometry Chapter 3
complementary angles
supplementary angles
adjacent angles
linear pair
Complementary angles are angles with measure that add to 90 d…
Supplementary angles are angles with measure that add to 180…
Adjacent angles are angles that have the same vertex, share a…
A linear pair is two adjacent angles who exterior sides form…
complementary angles
Complementary angles are angles with measure that add to 90 d…
supplementary angles
Supplementary angles are angles with measure that add to 180…
35 terms
Geometry Chapter 3 Problems - Parallel Lines
9
20
17
15
Find the value of x.
Find the value of x.
Find the value of x.
Find the value of x.
9
Find the value of x.
20
Find the value of x.
26 terms
Chapter 3 Geometry terms and properties
Parallel Lines
Parallel Planes
Alternate Exterior Angles
Same-side Interior Angles
Parallel Lines
Parallel Planes
22 terms
Jacob's Geometry chapter 3
reflexive property
substitution property
addition property
subtraction property
a=a
if a=b, then a can be substituted for b in any expression
if a=b, then a+c=b+c
if a=b, then a-c=b-c
reflexive property
a=a
substitution property
if a=b, then a can be substituted for b in any expression
36 terms
Geometry Chapter 3
acute triangle
alternate interior angles
alternate exterior angles
concave polygon
acute triangle
alternate interior angles
28 terms
Geometry Chapter 3
congruent triangles
congruent polygons
Reflexive Property
SSS postulate
all pairs of corresponding parts are congruent
all pairs of corresponding parts are congruent
Whenever a side or an angle is shared by two figures, we can…
If there exists a correspondence between the vertices of two…
congruent triangles
all pairs of corresponding parts are congruent
congruent polygons
all pairs of corresponding parts are congruent
36 terms
Geometry Chapter 3
If a transversal is perpendicular to o…
In a plane if 2 lines are perpendicula…
If 2 adjacent angles are complementary…
If exterior sides of 2 adjacent angles…
Perpendicular to Parallel Line Theorem
Perpenedicular to Parallel Line Theorem
Complementary Angles Theroem Converse
Complementary Angles Theroem
If a transversal is perpendicular to o…
Perpendicular to Parallel Line Theorem
In a plane if 2 lines are perpendicula…
Perpenedicular to Parallel Line Theorem
Geometry Chapter 3 Vocab
Transversal
Polygon
Convex Polygon
Concave Polygon
A line that intersects two coplanar lines at two distinct poi…
A closed shape with 3 sides that only intersect at endpoints
Has no diagonal with points outside the polygon
Has at least one diagonal with points outside the polygon
Transversal
A line that intersects two coplanar lines at two distinct poi…
Polygon
A closed shape with 3 sides that only intersect at endpoints
Geometry chapter 3
polygon
reflectional symmetry
axis of symmetry
equilateral
A closed figure formed by three or more line segments
When one half of a figure is a mirror image of the other half.
A line that divides a plane figure or a graph into two congru…
having all sides or faces equal
polygon
A closed figure formed by three or more line segments
reflectional symmetry
When one half of a figure is a mirror image of the other half.
31 terms
Pearson Geometry Common Core Chapter 3
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Same Side Interior Angles
Nonadjacent interior that lie on opposite sides of a transver…
Nonadjacent exterior angles that lie on opposite sides of the…
Angles that lie on the same side of the traversal and in corr…
Interior angles that lie on the same side of the transversal.…
Alternate Interior Angles
Nonadjacent interior that lie on opposite sides of a transver…
Alternate Exterior Angles
Nonadjacent exterior angles that lie on opposite sides of the…
17 terms
Discovering Geometry Chapter 3
construct
sketch
draw
segment bisector
Making a shape through the use of a compass and straightedge.…
A free hand drawing
Making a shape through the use of your compass, straightedge,…
A line, ray, or segment that passes through the midpoint of a…
construct
Making a shape through the use of a compass and straightedge.…
sketch
A free hand drawing
13 terms
Chapter 3 Geometry
Parallel Lines
Perpendicular Lines
Parallel Planes
Perpendicular Line to a Plane
Two or more lines which lie in the same plane and never inter…
Lines which intersect to form a right angle
Two or more planes which never intersect
A line that intersects a plane at a point and is perpendicula…
Parallel Lines
Two or more lines which lie in the same plane and never inter…
Perpendicular Lines
Lines which intersect to form a right angle
chapter 3 talbot's geometry terms
(2 intersecting lines form lin. Pair o…
perpendicular transversal theorem
(2 lines ⊥ to same line 2 lines ∥.)
distance from a point to a line
If two intersecting lines form a linear pair of congruent ang…
In a plane, if a transversal is perpendicular to one of the t…
If two coplanar lines are perpendicular to the same line, the…
the length of the perpendicular segment from the point to the…
(2 intersecting lines form lin. Pair o…
If two intersecting lines form a linear pair of congruent ang…
perpendicular transversal theorem
In a plane, if a transversal is perpendicular to one of the t…
11 terms
geometry chapter 3
alternate extirior angles
alternate interior angle
same side interior
same side extirior
non adjacent exterior angles that lie on opposite sides ot th…
non adjacent interior angles that lie on the opposite side of…
angle on the same side of the transversal and are inside the…
angle on the same side of the transversal but are outside the…
alternate extirior angles
non adjacent exterior angles that lie on opposite sides ot th…
alternate interior angle
non adjacent interior angles that lie on the opposite side of…
12 terms
Geometry Chapter 3
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Exterior Angle of a triangle
Alternate Interior Angles
Alternate Exterior Angles
17 terms
Geometry Chapter 3
AA ~
congruent
proportional equation
SAS ~
If two angles of one triangle are congruent to the two corres…
Two shapes where there is a sequence of rigid transformations…
An equation stating that two ratios are equal.
If two triangles have two pairs of corresponding sides that a…
AA ~
If two angles of one triangle are congruent to the two corres…
congruent
Two shapes where there is a sequence of rigid transformations…
Geometry voacb chapter 3
Parallel lines
Coplanar
Skew lines
Transversal
lines in the same plane that never intersect
points that lie on the same plane
Lines that do not intersect and are not coplanar
a line that intersects two or more lines
Parallel lines
lines in the same plane that never intersect
Coplanar
points that lie on the same plane
47 terms
Geometry Chapter 3
Transversal
Alternate Interior Angles
Corresponding Angles
Same-Side Interior Angles
A line that intersects two coplanar lines at two distinct poi…
Angles that lie within (inside, in the interior) a pair of li…
Angles formed by a transversal cutting through 2 or more line…
Two interior angles on the same side of the transversal... If t…
Transversal
A line that intersects two coplanar lines at two distinct poi…
Alternate Interior Angles
Angles that lie within (inside, in the interior) a pair of li…
10 terms
CPM Geometry Chapter 3
Complementary angles
Rotation
dilation
corresponding angles
One point on the plane, the center of rotation, is fixed and…
A dilation stretches or shrinks the original figure.
...
Complementary angles
Rotation
One point on the plane, the center of rotation, is fixed and…
30 terms
Geometry Chapter 3 Terms Review
Parallel Lines
Skew
Conciding
Parallel Postulate
Coplanar and does not intersect.
Noncoplanar and does not intersect.
Same line.
If there is a line and a point not on the line, then there is…
Parallel Lines
Coplanar and does not intersect.
Skew
Noncoplanar and does not intersect.
13 terms
Geometry Terms Chapter 3
Transversal
Corresponding
Alternate Interior Angles
Alternate Exterior Angles
a line that intersects two or more lines.... Ex: Line t is the t…
Angles formed by a transversal cutting through 2 or more line…
Angles that can be found in between the two lines that are cu…
These are angles that can be found outside of the two lines t…
Transversal
a line that intersects two or more lines.... Ex: Line t is the t…
Corresponding
Angles formed by a transversal cutting through 2 or more line…
43 terms
Geometry Chapter 3 Vocabulary
alternate exterior angles
alternate interior angles
axis of symmetry
center of a regular polygon
Two nonadjacent exterior angles that lie on opposite sides of…
Two nonadjacent interior angles that lie on opposite sides of…
A line that divides a planar figureinto two congruent reflect…
The point that is equidistant from all vertices of a polygon.
alternate exterior angles
Two nonadjacent exterior angles that lie on opposite sides of…
alternate interior angles
Two nonadjacent interior angles that lie on opposite sides of…
10 terms
Geometry Chapter 3 - Parallel and Perpendicular Lines
parallel lines
perpendicular lines
parallel planes
line perpendicular to a plane
lines in the same plane that never intersect
Lines that intersect to form right angles
planes that do not intersect
a line that intersects the plane in a point and is perpendicu…
parallel lines
lines in the same plane that never intersect
perpendicular lines
Lines that intersect to form right angles
Geometry Chapter 3 Postulates
Parallel lines
Skew lines
Alternate interior angles
Same side interior angles
Coplanar lines that do not intersect
noncoplanar and non parallel lines
nonadjacent interior angles that lie on opposite sides of the…
Interior angles that lie on the same side of the transversal
Parallel lines
Coplanar lines that do not intersect
Skew lines
noncoplanar and non parallel lines
11 terms
Geometry - Chapter 3 Postulates and Theorems
Corresponding Angles Postulate - If tw…
Alternate Interior Angles Theorem - If…
Alternate Exterior Angles Theorem - If…
Same-Side Interior Angles Theorem - If…
then the pairs of corresponding angles are congruent.
then the alternate interior angles are congruent.
then the alternate exterior angles are congruent.
then the pairs of same-side interior angles are supplementary.
Corresponding Angles Postulate - If tw…
then the pairs of corresponding angles are congruent.
Alternate Interior Angles Theorem - If…
then the alternate interior angles are congruent.
42 terms
Geometry- Chapter 3
a real number on a number line that ma…
a real number between any two given po…
one of the 360 marks in a 'circular pr…
all the positions through which a ray…
coordinate
distance
degree
rotation of rays
a real number on a number line that ma…
coordinate
a real number between any two given po…
distance
33 terms
Discovering Geometry, Chapter 3 Vocabulary and Conjectures
Segment bisector
Perpendicular bisector
Perpendicular Bisector Conjecture
Converse of the Perpendicular Bisector…
A line, ray, or segment that passes through the midpoint of a…
A segment that has many perpendiculars and many bisectors, bu…
If a point is on the perpendicular bisector of a segment, the…
If a point is equidistant from the endpoints of a segment, th…
Segment bisector
A line, ray, or segment that passes through the midpoint of a…
Perpendicular bisector
A segment that has many perpendiculars and many bisectors, bu…
100 terms
Geometry Chapter 3-6
Parallel Lines
Skew Lines
Parallel Planes
Transversal
coplanar lines that do not intersect
non coplanar lines (not parallel or intersecting)
Planes that do not intersect
the line that intersects two or more coplanar lines in differ…
Parallel Lines
coplanar lines that do not intersect
Skew Lines
non coplanar lines (not parallel or intersecting)
28 terms
Discovering Geometry // Chapter 3
Segment bisector
Perpendicular bisector
Perpendicular Bisector Conjecture
Converse of the Perpendicular Bisector…
A line, ray, or segment that passes through the midpoint of a…
A line or segment that divides a line segment into two equal…
If a point is on the perpendicular bisector of a segment, the…
If a point is equidistant from the endpoints of a segment, th…
Segment bisector
A line, ray, or segment that passes through the midpoint of a…
Perpendicular bisector
A line or segment that divides a line segment into two equal…
19 terms
Geometry Chapter 3
Parallel Lines
Skew Lines
Transversal
Interior Angles
Coplanar lines that don't intersect ... II symbol
Non coplanar lines that don't intersect
Line that intersects 2 or more coplanar lines at distinct poi…
Formed by transversal that lie between 2 intersected lines
Parallel Lines
Coplanar lines that don't intersect ... II symbol
Skew Lines
Non coplanar lines that don't intersect
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