Exam 1 Topics

Question 1

What do students learn at the Van Hiele level 0?

Answer 1

Geometric Recognition

Question 2

What do students learn at the Van Hiele Level 1?

Answer 2

Geometric Analysis

Question 3

What do students learn at the Van Hiele Level 2?

Answer 3

Geometric Relationships

Question 4

A simple closed curve made up of line segments….

Answer 4

Polygon

Question 5

a polygon where all angles are congruent (equiangular) and all sides are the same length (equilateral)…

Answer 5

Regular Polygon

Question 6

Any polygon where a line segment joining any 2 points inside the polygon lies completely inside the polygon…

Answer 6

Convex Polygon

Question 7

A polygon that is not convex; that is, there exists a line segment joining 2 points inside the polygon that does not lie completely inside the polygon…

Answer 7

Concave Polygon

Question 8

A three sided polygon….

Answer 8

Triangle

Question 9

A triangle in which all sides are of different lengths….

Answer 9

Scalene

Question 10

A triangle in which at least 2 sides are the same length…

Answer 10

Isosceles

Question 11

A triangle in which all 3 sides are the same length…

Answer 11

Equilateral

Question 12

A four sided polygon…

Answer 12

Quadrilateral

Question 13

A five sided polygon…

Answer 13

Pentagon

Question 14

Define Square…

Answer 14

An equilateral parallelogram with all four angles equaling 90 degrees.

Question 15

Define Rectangle…

Answer 15

A quadrilateral parallelogram in which 2 sets of opposite sides are parallel and all four angles equal 90 degrees.

Question 16

Define Parallelogram…

Answer 16

A quadrilateral in which both sets of opposite sides are parallel.

Question 17

Define Rhombus…

Answer 17

A quadrilateral in which all sides are the same length, one set of opposite angles must be acute while the other opposite angles must be obtuse. Exception: Square.

Question 18

Deine Trapezoid…

Answer 18

A quadrilateral with exactly one set of parallel sides.

Question 19

Define Kite…

Answer 19

A quadrilateral with exactly two pairs of congruent adjacent (consecutive) sides.

Question 20

Define Kite…

Answer 20

A quadrilateral with exactly two pairs of congruent adjacent (consecutive) sides.

Question 21

How do you find the measures of the vertex angles when given the number of sides?

Answer 21

(n-2) 180 / n

n minus 2 times 180 divided by n

Question 22

How do you find the measures of the central angles or exterior angles when given the number of sides?

Answer 22

360 / n

360 divided by number of sides.

Question 23

How do you find the number of sides when given the sum of all the vertex angles?

Answer 23

1. ) (n-2) 180 = sum

2. ) Then solve for n.

Question 24

How do you find the number of sides when given only one vertex angle measure?

Answer 24

1. ) set angle measure equal to the equation (n-2)180 / n

2. ) Begin solving for n by multiplying n on both sides.

Question 25

How do you find the number of sides when given only a central angle?

Answer 25

360/n° 360 divided by the given central angle degree.

Question 26

How do you find the number of sides when given only an exterior angle?

Answer 26

360/n° 360 divided by the given central angle degree.

Question 27

How do you find the measures of the central angles when given the vertex angles?

Answer 27

1. ) (n-2)180 / n = measure of vertex angle 2. ) begin solving for n by multiplying n on both sides 3. ) once number of sides is found, you can use the central angles shortcut, 360/n to find the degrees.

Question 28

How do you find the measures of the central angles when given the vertex angles?

Answer 28

1. ) (n-2)180 / n = measure of vertex angle 2. ) begin solving for n by multiplying n on both sides 3. ) once number of sides is found, you can use the central angles shortcut, 360/n to find the degrees.

Question 29

How do you find all the lines of symmetry of a regular polygon?

Answer 29

Draw all the lines possible from opposite vertices ad all possible vertices to midpoints.

Question 30

How do you find rotational symmetry?

Answer 30

Use the Mira to mark lines of rotation (point) symmetry. Count rotations out of total number of sides. Example: 1/6 rotation would be 1/6 of 360 or 360/6.

Question 31

A line that is bound by two distinct end points, and contains every point on the line between its endpoints.

Answer 31

Segment

Question 32

A line with an endpoint that extends infinitely in one direction.

Answer 32

Ray

Question 33

An infinite number of points connected by a line that points infinitely in both directions.

Answer 33

Line

Question 34

Points lying on the same straight line....

Answer 34

colinear points

Question 35

Points lying on the same plane....

Answer 35

coplanar points

Question 36

Lines lying on the same plane....

Answer 36

coplanar lines

Question 37

Two lines that intersect to form a right angle...

Answer 37

perpendicular lines

Question 38

Two lines in the same plane that do not intersect...

Answer 38

parallel lines

Question 39

If two lines l and m are intersected by a third line, t, we call line t a(n) ___________.

Answer 39

Transversal

Question 40

The sum of two angles that measure to 90 degrees...

Answer 40

Complementary Angles

Question 41

The sum of two angles that measure 180 degrees....

Answer 41

Supplementary Angles

Question 42

Angles in the same position of the other grouping...

Answer 42

Corresponding Angles.

Question 43

Opposite angles formed by two intersecting lines...

Answer 43

Vertical Angles

Question 44

Angles that are inside the parallel lines...

Answer 44

Interior Angles

Question 45

Interior angles are on different sides of the transversal...

Answer 45

Alternate Interior Angles

Question 46

Angles above and below the parallel lines...

Answer 46

Exterior Angles

Question 47

Exterior angles are on different sides of the transversal...

Answer 47

Alternate Exterior Angles

Question 48

The polygonal regions of a polyhedron....

Answer 48

Face

Question 49

Line segments common to a pair of faces...

Answer 49

Edges

Question 50

The points of intersection of the edges...

Answer 50

Vertex

Question 51

When given the edges, faces, or vertices of a prism one can use Euler's formula....

Answer 51

F + V - 2 = E or F + V = E - 2

Question 52

For an n-gon prism in Euler's formula the F can be found by.....

Answer 52

n + 2

Question 53

For an n-gon prism in Euler's fomula the V can be found by...

Answer 53

2n

Question 54

For an n-gon prism in Euler's fomula the F + V can be found by.

Answer 54

3n + 2

Question 55

For an n-gon prism in Euler's fomula the E can be found by...

Answer 55

3n

Question 56

For an n-gon Pyramid in Euler's fomula the F can be found by....

Answer 56

n + 1

Question 57

For an n-gon prism in Euler's fomula the V can also be found by....

Answer 57

n + 1

Question 58

For an n-gon prism in Euler's fomula the F + V can be found by....

Answer 58

2n + 2

Question 59

For an n-gon prism in Euler's fomula the E can be found by...

Answer 59

2n