Module 6

Question 1

“Geometry” from two greek words geo and metron which mean _____ and _____

Answer 1

earth, measurement

Question 2

How many clay tablets were unearthed containing Babylonian Mathematics?

Answer 2

400

Question 3

What was Babylonian Mathematics written of?

Answer 3

Cuneiform script

Question 4

Who gave us the formulas for finding areas and volumes of some geometric figures like circles and cylinders?

Answer 4

The Babylonians

Question 5

What was Ahmes Papyrus also know of?

Answer 5

Rhind Mathematical Papyrus

Question 6

This value is what we call the golden ratio.

Answer 6

1.618

Question 7

What do in literature call when the rectangles having the ratio of length and its width be golden ratio

Answer 7

golden rectangles

Question 8

First mathematician to calculate the circumference of the earth

Answer 8

Eratosthenes

Question 9

Who gave us the concept that given a right triangle with lenghts of ides a and b; and, length of side opposite the right angle is c, then a² + b² = c²?

Answer 9

Pythagoras

Question 10

Who contributed a handful geometric concepts like the volumes of irregular shapes?

Answer 10

Archimedes

Question 11

He was also known for deriving an accurate approximation of the value π using the meyhod of exhaustion developed by Eudoxus of Cnidus

Answer 11

Archimedes

Question 12

One of the most famous Greek mathematicians

Answer 12

Euclid

Question 13

Things that are equal to the same thing are ____

Answer 13

equal

Question 14

If equals are added to equals, then the ____ are equal

Answer 14

whole

Question 15

if equals are subtracted from equal, then the ____ are equal

Answer 15

remainders

Question 16

things that ____ with one another are equal to one another

Answer 16

coincide

Question 17

The ____ is greater than the part

Answer 17

whole

Question 18

a straight line can be drawn from any point to any point

Answer 18

Postulate 1

Question 19

A finite straight line can be produced continuously in a straight line

Answer 19

Postulate 2

Question 20

A circle may be drawn with any point as center and any distance as radius

Answer 20

postulate 3

Question 21

All right angles are equal to one another

Answer 21

Postulate 4

Question 22

The 5th postulate is also called

Answer 22

Parallel Postulate

Question 23

Two lines are equidistant

Answer 23

Posidonius

Question 24

If a line intersects one of two parallel lines, then it intersects the other

Answer 24

Proclus

Question 25

The sum of the interior angles of a (Euclidean) triangle is 180

Answer 25

Legendre

Question 26

He restated Euclid's 5th Postulate as "Through a point P not on line l, there exists exactly one line passing through point P parallel to l"

Answer 26

Playfair

Question 27

Two Euclidean triangles are congruent if only if they the

Answer 27

same size and shape

Question 28

Two triangles are similar if they have the same

Answer 28

shape but can be different sizes

Question 29

a model for this hyperbolic geometry can be seen by considering not the usual plane, but a ____

Answer 29

circular disk

Question 30

Who were the main contributors of Hyperbolic Geometry?

Answer 30

Nikolai Ivanovich Loba Chevsky Janos Bolyai Johann Carl Friedrich Gauss

Question 31

what is the point of hyperbolic?

Answer 31

usual points inside the disk (but not lying on the boundary)

Question 32

The sum of the angles of a triangle is less than 180°

Answer 32

Hyperbolic

Question 33

The sum of the interior angles of a triangle is more than 180°

Answer 33

Elliptic

Question 34

Known as the father of projective geometry

Answer 34

Gerard Desargues

Question 35

Gerard considered the concept of parallel lines intersecting in a plane and called this the

Answer 35

ideal point

Question 36

The point of intersection is called the

Answer 36

center of perspectivity

Question 37

A coffee cup and a muffin

Answer 37

NOT topologically equivalent

Question 38

Coffee cup and donut

Answer 38

Topologically equivalent

Question 39

All congruent trianges are similar. This is true in what type of geometry?

Answer 39

Elliptic, Hyperbolic and Euclidean

Question 40

Through a point P not on line l, there exists more than one line passing through point P parallel to l

Answer 40

Hyperbolic

Question 41

Topology includes the mathematical study of vanishing points and perspective

Answer 41

False