Definitions Exam 2

Question 1

The line of reflection is the perpendicular bisector of the segment connecting a point and its image under the reflection.

Answer 1

True

Question 2

A reflection reverses the orientation of the object.

Answer 2

True

Question 3

A transformation is a 1 to 1 motion of the plane onto a line

Answer 3

False

Question 4

The line of reflection is parallel to the segment connecting a point and its image under the reflection.

Answer 4

False

Question 5

A rotation reverses the orientation of the object

Answer 5

False

Question 6

Under a reflection, any points on the line of reflection move off of the line.

Answer 6

False

Question 7

Under a translation, the slide arrow indicates distance and direction

Answer 7

True

Question 8

A glide reflection does not change the orientation of the object

Answer 8

False

Question 9

Under a translation, the slide arrow only indicates direction

Answer 9

False

Question 10

A rotation does not change the orientation of the object

Answer 10

True

Question 11

A rotation is motion around a fixed point

Answer 11

True

Question 12

Under a glide reflection, the line of reflection and the slide arrow must be perpendicular.

Answer 12

False

Question 13

A translation does not change the orientation of the object.

Answer 13

True

Question 14

Under a reflection, any points on the line of reflection stay on the line

Answer 14

True

Question 15

A translation is a series of reflections over two intersecting lines

Answer 15

False

Question 16

A translation is simply a flip over a fixed line

Answer 16

False

Question 17

A rotation is a series of reflections over two parallel lines.

Answer 17

False

Question 18

A translation is an isometry

Answer 18

True

Question 19

A translation reverses the orientation of the object

Answer 19

False

Question 20

An isometry is a transformation preserving distance and orientation

Answer 20

False

Question 21

There are exactly four different isometries

Answer 21

True

Question 22

A rotation is a series of reflections over two intersecting lines

Answer 22

True

Question 23

There are exactly three different types of isometries

Answer 23

False

Question 24

A transformation is a 1 to 1 motion of the plane onto itself

Answer 24

True

Question 25

A transformation is a 1 to 1 motion of the plant onto a line

Answer 25

False

Question 26

If a graph does not contain either K5 or K3,3 as a subgraph, then it is planar.

Answer 26

True

Question 27

A planar graph is a graph that can be drawn in the plane so that no two edges overlap.

Answer 27

True

Question 28

Every graph on fewer than five vertices must be planar

Answer 28

True

Question 29

The valence for each vertex in K n is n

Answer 29

False

Question 30

K3,4 is a multigraph

Answer 30

False

Question 31

A planar g and h have the same set of vertices, then they must be isomorphic

Answer 31

False

Question 32

If a graph contains either K5 or K3,3 as a subgraph, then it is planar

Answer 32

False

Question 33

If m > 3, the Km,n must be non-planar

Answer 33

False

Question 34

It is possible to have a planar subgraph of a non-planar graph.

Answer 34

True

Question 35

If graphs g and h have the same sets of vertices and edges, then they must be isomorphic

Answer 35

True

Question 36

It is possible to have a non-planar subgraph of a planar graph

Answer 36

False

Question 37

The valence for each vertex in Kn is n-1

Answer 37

True

Question 38

Two graphs with the same lists of vertex valences must be isomorphic

Answer 38

False

Question 39

In a pseudograph, every pair of vertices is connected

Answer 39

False

Question 40

A planar graph is a graph that can be drawn in the plane and no edge connects a vertex to itself

Answer 40

False

Question 41

If m > 3 and n > 3, then Km,n must be non-planar

Answer 41

True

Question 42

If graphs g and h have the same set of subgraphs, then they must be isomorphic

Answer 42

True

Question 43

Since k5 has 10 edges and K3,3 has 9 edges, any graph with more than 9 edges will be non-planar

Answer 43

False