Test 1

Question 1

Right Triangle

Answer 1

Three sided figure with one right angle

Question 2

Acute Triangle

Answer 2

Three sided figure with all angles less than a right angle

Question 3

Obtuse Triangle

Answer 3

Three sided figure with one angle larger than a right angle

Question 4

Isosceles Triangle

Answer 4

Three sided figure with at least two equal sides

Question 5

Equilateral Triangle

Answer 5

Three sided figure with three equal sides

Question 6

Equiangular Triangle

Answer 6

Three Sided figure with three equal angles

Question 7

Scalene Triangle

Answer 7

Three sided figure with no two sides equal

Question 8

Square

Answer 8

Four sided figure with four congruent sides, and four right angles

Question 9

Rectangle

Answer 9

Four sided figure with four right angles

Question 10

Rhombus

Answer 10

Four sided figure with four congruent sides

Question 11

Parallelogram

Answer 11

Four sided figure with two sets of parallel sides

Question 12

Kite

Answer 12

Four sided figure with two sets of congruent adjacent sides

Question 13

Trapezoid

Answer 13

Four sided figure with exactly one set of parallel sides

Question 14

Definition

Answer 14

A description of a shape or situation that is accepted as true by an authoritative body of people

Question 15

Pi

Answer 15

circumference/diameter

Question 16

If 2 things are equal to a third

Answer 16

then those 2 things are equal

Question 17

If equals are added to equals

Answer 17

then the sums are equal

Question 18

If equals are subtracted from equals

Answer 18

then the differences are equal

Question 19

If 2 things coincide with one another

Answer 19

then they are equal

Question 20

If there are 2 points (Postulate 1)

Answer 20

then there is a line segment between those 2 points

Question 21

If there is a line segment

Answer 21

then it can be extended

Question 22

If there are 2 points (Postulate 3)

Answer 22

then there is a circle centered at one point going through the other point

Question 23

If there are 2 right angles

Answer 23

then they are congruent

Question 24

Axiom 5

Answer 24

Whole is greater than any of its parts

Question 25

Construct an equilateral triangle

Question 26

Construct a kite

Question 27

Construct a rhombus

Question 28

Construct an isosceles triangle

Question 29

Construct a rectangle

Question 30

Construct a square

Question 31

Duplicate an angle

Question 32

Axiom

Answer 32

mathematical statement accepted as true which CANNOT be proven

Question 33

Postulate

Answer 33

geometrical statement accepted as true which CANNOT be proven

Question 34

Property

Answer 34

mathematical statement about a shape or relationship that can be or has been proved to be true … and cannot be part or easily derivable from the definition.

Question 35

Rotational Symmetry 2 requirements Give an example

Answer 35

when an object is rotated on its own axis and looks the same after a rotation center point and angle a circle

Question 36

Reflective Symmetry 2 requirements Give an example

Answer 36

when a figure has a line of symmetry indicating that both halves look exactly the same line of reflection the capital letter A

Question 37

Concrete Teaching/Learning

Answer 37

students manipulate 3D objects

Question 38

Axiomatic Geometry

Answer 38

theorems are proved using definitions, axioms, postulates, and previously proven theorems by means of accepted rules of logic

Question 39

Differences between definition and property

Answer 39

difference: the definition has been accepted as true, whereas, property must be proven to be true similarity: both statements are true

Question 40

chord

Answer 40

line segment who's points are on a circle

Question 41

List 4 aspects of geometry in the world

Answer 41

sports, the game of pool, music, nature, and architecture

Question 42

Van Hiele Level 0

Answer 42

Recognition students don't know shapes and definitions, cannot distinguish between relevant and irrelevant attributes kids basically recognize for what they know it to be

Question 43

Van Hiele Level 1

Answer 43

Analysis student focuses analytically on components parts and their attributes they begin to explore properties, might not believe they belong to several classes

Question 44

Van Hiele Level 2

Answer 44

Relationships student begins to understand relationships among figures become better communicators and begin to think abstractly

Question 45

Van Hiele Level 3

Answer 45

Deduction student can study geometry as a formal mathematical system and write formal proofs of theorems abstract thinking (work is done mentally)