Chapters 3-4

Question 0

lines that do not intersect and are not coplanar

Answer 0

skew lines

Question 1

coplanar lines that do not intersect

Answer 1

parallel lines

Question 2

planes that do not intersect

Answer 2

parallel planes

Question 3

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

Answer 3

transversal

Question 4

the angles on the inside of the transversal pair of angles

Answer 4

interior anges

Question 5

angles on the outside of the transversal pair of angles

Answer 5

exterior angles

Question 6

interior angles that lie on the same side of he transversal

Answer 6

consecutive interior angles

Question 7

nonadjacent interior angles that lie on opposite sides of the transversal

Answer 7

alternate interior angles

Question 8

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

Answer 8

alternate exterior angles

Question 9

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

Answer 9

corresponding angles

Question 10

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

Answer 10

corresponding angles postulate

Question 11

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

Answer 11

alternate interior angles theorem

Question 12

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

Answer 12

consecutive interior angles theorem

Question 13

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

Answer 13

slope

Question 14

describes how a quantity y changes in relation to quantity x

Answer 14

rate of change

Question 15

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

all vertical lines are parallel

Answer 15

slopes of parallel lines

Question 16

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

Answer 16

slopes of perpendicular lines

Question 17

y=mx+b

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

Answer 17

slope-intercept form

Question 18

y-y1=m(x-x1)

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

Answer 18

point-slope form

Question 19

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

Answer 19

horizontal line equation

Question 20

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

Answer 20

vertical line equation

Question 21

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

Answer 21

converse of corresponding angles postulate

Question 22

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

Answer 22

parallel postulate

Question 23

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

Answer 23

alternate exterior angles converse

Question 24

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

Answer 24

consecutive interior angles converse

Question 25

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

Answer 25

alternate interior angles converse

Question 26

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

Answer 26

perpendicular transversal converse

Question 27

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

Answer 27

perpendicular postulate

Question 28

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

Answer 28

equidistant

Question 29

a triangle with three acute angles

Answer 29

acute triangle

Question 30

a triangle with three congruent angles

Answer 30

equiangular triangle

Question 31

a triangle with one obtuse angle

Answer 31

obtuse triangle

Question 32

a triangle with one right angle

Answer 32

right triangle

Question 33

a triangle with three congruent sides

Answer 33

equilateral triangle

Question 34

a triangle with at least two congruent sides

Answer 34

isosceles triangle

Question 35

a triangle with no congruent sides

Answer 35

scalene triangle

Question 36

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

Answer 36

triangle angle-sum theorem

Question 37

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

Answer 37

auxiliary line

Question 38

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

Answer 38

exterior angles

Question 39

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

Answer 39

remote interior angles

Question 40

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

Answer 40

exterior angles theorem

Question 41

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

Answer 41

flow proof

Question 42

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

Answer 42

corollary

Question 43

the acute angles of a right triangle are complementary there can be at most one right or obtuse angle in a triangle

Answer 43

triangle angle-sum corollaries

Question 44

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

Answer 44

congruent

Question 45

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

Answer 45

congruent polygons

Question 46

matching parts of the other polygon include corresponding angles and corresponding sides

Answer 46

corresponding parts

Question 47

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

Answer 47

definition of congruent polygons

Question 48

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

Answer 48

third angles theorem

Question 49

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

Answer 49

side-side-side (SSS) congruence

Question 50

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

Answer 50

side-angle-side (SAS) congruence

Question 51

the side located between two consecutive angles of a polygon

Answer 51

included side

Question 52

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

Answer 52

angle-side-angle (ASA) congruence

Question 53

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

Answer 53

angle-angle-side (AAS) congruence

Question 54

the two congruent sides of an isosceles triangle

Answer 54

legs of an isosceles triangle

Question 55

the angle with sides that are the legs is called this

Answer 55

vertex angle

Question 56

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

Answer 56

base angles

Question 57

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

Answer 57

isosceles triangle theorem

Question 58

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

Answer 58

converse of isosceles triangle theorem

Question 59

a triangle is equilateral if and only if it is equiangular each angle of an equilateral triangle measures 60

Answer 59

equilateral triangle

Question 60

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

Answer 60

transformations

Question 61

an original geometric figure

Answer 61

preimage

Question 62

a new figure

Answer 62

image

Question 63

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

Answer 63

congruence transformation

Question 64

a rigid transformation

Answer 64

isometry

Question 65

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

Answer 65

reflection or flip

Question 66

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

Answer 66

translation or slide

Question 67

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

Answer 67

rotation or turn

Question 68

figures in the coordinate plane an algebra to prove geometric concepts

Answer 68

coordinate proofs