Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

Geometry > Chapters 3-4 > Flashcards

Chapters 3-4 Flashcards

0
Q

lines that do not intersect and are not coplanar

A

skew lines

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
1
Q

coplanar lines that do not intersect

A

parallel lines

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

planes that do not intersect

A

parallel planes

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

a line that intersects 2 or more coplanar lines at 2 different points

A

transversal

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

the angles on the inside of the transversal pair of angles

A

interior anges

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

angles on the outside of the transversal pair of angles

A

exterior angles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

interior angles that lie on the same side of he transversal

A

consecutive interior angles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

nonadjacent interior angles that lie on opposite sides of the transversal

A

alternate interior angles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

nonadjacent exterior angles that lie on the opposite sides of the transversal

A

alternate exterior angles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

angles that lie on the same side of the transversal and on the same side of 2 lines

A

corresponding angles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

if two parallel lines are cut by a transversal then each pair of corresponding angles is congruent

A

corresponding angles postulate

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

if two parallel angles are cut by a transversal, then each pair of alternate interior angles is congruent

A

alternate interior angles theorem

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

if two parallel lines are cut b a transversal then exactly one pair of consecutive interior angles is supplementary

A

consecutive interior angles theorem

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

the ratio of the change along the y-axis to the change along the x-axis between any two points on the line

rise over run

A

slope

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

describes how a quantity y changes in relation to quantity x

A

rate of change

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

two non-vertical lines have the same slope if and only if hey are parallel

all vertical lines are parallel

A

slopes of parallel lines

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

two non-vertical lines are perpendicular if and only if the product of their slopes is -1, vertical lines are perpendicular

A

slopes of perpendicular lines

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

y=mx+b

where m is the slope of the line and b is the y-intecept

A

slope-intercept form

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

y-y1=m(x-x1)

where (x1, y1) is any point on the line and m is the slope of the line

A

point-slope form

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

the equation of this term is y=b where b is the y-intercept of the line

A

horizontal line equation

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

the equation of this term is x=a where a is the x-intercept of the line

A

vertical line equation

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

if two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel

A

converse of corresponding angles postulate

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

if given a line and a point not on the line, then there exists exactly one line through the point that is parallel to the given line

A

parallel postulate

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

if two lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplementary, then the lines are parallel

A

alternate exterior angles converse

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

if two lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplementary, then the lines are parallel

A

consecutive interior angles converse

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
Q

if two lines in a plane are cut by a transversal so that a pair f alternate interior angles is congruent, then the lines are parallel

A

alternate interior angles converse

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
26
Q

in a plane, if two lines are perpendicular to the same line, then they are parallel

A

perpendicular transversal converse

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
27
Q

if given a line and a point not on the line, then there exists exactly one line through the point that is perpendicular to the given line

A

perpendicular postulate

28
Q

the distance between two lines measured along a perpendicular line to the lines is always the same

A

equidistant

29
Q

a triangle with three acute angles

A

acute triangle

30
Q

a triangle with three congruent angles

A

equiangular triangle

31
Q

a triangle with one obtuse angle

A

obtuse triangle

32
Q

a triangle with one right angle

A

right triangle

33
Q

a triangle with three congruent sides

A

equilateral triangle

34
Q

a triangle with at least two congruent sides

A

isosceles triangle

35
Q

a triangle with no congruent sides

A

scalene triangle

36
Q

the sum of the measures of the angles of a triangle is 180

A

triangle angle-sum theorem

37
Q

an extra line or segment drawn in a figure to help analze geometric relationships

A

auxiliary line

38
Q

angles formed by one side of the triangle and the extension of an adjacent side

A

exterior angles

39
Q

each exterior angle of a triangle has two of these that are not adjacent to the exterior angle

A

remote interior angles

40
Q

the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles

A

exterior angles theorem

41
Q

this term uses statements written in boxes and arrows to show the logical progression of an argument

A

flow proof

42
Q

a theorem with a proof that follows as a direct result of another theorem

A

corollary

43
Q

the acute angles of a right triangle are complementary

there can be at most one right or obtuse angle in a triangle

A

triangle angle-sum corollaries

44
Q

if two geometric figures have exactly the same shape and size then they are this

A

congruent

45
Q

all of the parts of one polygon are congruent to the corresponding angles

A

congruent polygons

46
Q

matching parts of the other polygon

include corresponding angles and corresponding sides

A

corresponding parts

47
Q

two polygons are congruent if and only if their corresponding parts are congruent

A

definition of congruent polygons

48
Q

if two angles of one triangle are congruent to the angles of a second triangle, then the third angles of the triangles are congruent

A

third angles theorem

49
Q

if three sides of one triangle are congruent to three sides of a second triangle, then the triangles are congruent

A

side-side-side (SSS) congruence

50
Q

if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent

A

side-angle-side (SAS) congruence

51
Q

the side located between two consecutive angles of a polygon

A

included side

52
Q

if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent

A

angle-side-angle (ASA) congruence

53
Q

if two angles and the non-included side of one triangle are congruent tot he corresponding two angles and side of a second triangle, then the two triangles are congruent

A

angle-angle-side (AAS) congruence

54
Q

the two congruent sides of an isosceles triangle

A

legs of an isosceles triangle

55
Q

the angle with sides that are the legs is called this

A

vertex angle

56
Q

the two angles formed by the base and the congruent sides are called this

A

base angles

57
Q

if two sides of a triangle are congruent, then the angles opposite those sides are congruent

A

isosceles triangle theorem

58
Q

if two angles of a triangle are congruent, then the sides opposite those angles are congruent

A

converse of isosceles triangle theorem

59
Q

a triangle is equilateral if and only if it is equiangular

each angle of an equilateral triangle measures 60

A

equilateral triangle

60
Q

an operation that maps an original geometric figure, the preimage, onto a new figure called the image

A

transformations

61
Q

an original geometric figure

A

preimage

62
Q

a new figure

A

image

63
Q

a rigid transformation is one in which the position of he image may differ from that of the preimage, but the two figures remain congruent

A

congruence transformation

64
Q

a rigid transformation

A

isometry

65
Q

a transformation over line called the line of reflection

each point of the preimage and its image are the same distance from the line of reflection

A

reflection or flip

66
Q

a transformation that moves all points of the original figure the same distance in the same direction

A

translation or slide

67
Q

a transformation around a fixed point called the center of rotation, through a specific angle, and in a specific direction
each point of the original figure and its image are the same distance from the center

A

rotation or turn

68
Q

figures in the coordinate plane an algebra to prove geometric concepts

A

coordinate proofs

Geometry (7 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2025 Bold Learning Solutions. Terms and Conditions