Quiz 1 Deck (Reasons to Study Geometry, Definitions, Postulates, Common Notions, Propositions 1-4)

Question 1

Define Point.

Answer 1

That which has no part.

Question 2

Define Line.

Answer 2

A Breadth-less length whose extremities are points.

Question 3

What are the extremities of lines?

Answer 3

Points.

Question 4

Define Straight Line.

Answer 4

A line which lies evenly with the points on itself.

Question 5

Define Surface.

Answer 5

That which has length and breadth only and whose extremities are lines.

Question 6

What are the extremities of a surface?

Answer 6

Lines.

Question 7

Define a Plane Surface.

Answer 7

A surface that lies evenly with the straight lines on itself.

Question 8

Define a Plane Angle.

Answer 8

The inclination to one another two lines in a plane which meet one another and do not lie in a straight line.

Question 9

Define a Rectilineal Angle.

Answer 9

An Angle formed when the lines containing the angle are straight lines.

Question 10

Define a Right Angle.

Answer 10

When a Straight line set up on a straight line makes the adjacent angles equal.

Question 11

Define a Perpendicular Line

Answer 11

The Straight Line Standing on the Line that forms right angles.

Question 12

Define an Obtuse Angle.

Answer 12

An Angle Greater than a Right Angle.

Question 13

Define an Acute Angle.

Answer 13

An Angle Less Than a Right Angle.

Question 14

Define a Boundary.

Answer 14

That which is an extremity of anything.

Question 15

Define a figure.

Answer 15

That which is constrained by a boundary or boundaries.

Question 16

Define a Circle.

Answer 16

A plane figure contained by one line such that all straight lines upon it from one point among those lying within the figure are equal to one another.

Question 17

Define the center of a circle.

Answer 17

The point upon which lines drawn from it to the boundary are equal to one another.

Question 18

Define the Diameter of a Circle.

Answer 18

Any Straight Line Through the Center of the Circle that termites at the Circumference and Bisects the Circle.

Question 19

Define a Semi-Circle.

Answer 19

A figure contained by the diameter and circumference cut off by it. (The center is still the same as the original semi-circle.)

Question 20

Define Rectilineal Figures.

Answer 20

Those contained by Straight Lines.

Question 21

What are the different classifications of rectilinear figures?

Answer 21

1) Trilateral - Composed of 3 lines.
2) Quadrilateral - Composed of 4 lines.
3) Multilateral - More than 4 lines.

Question 22

What are the three types of Trilateral figures?

Answer 22

1) Equilateral - 3 Equal Sides.
2) Isosceles - 2 Equal Sides.
3) Scalene - 3 Unequal Sides.

Question 23

How can Trilateral figures be classified based on angles?

Answer 23

1) Right Angled - Contains a Right Angle
2) Obtuse Triangle - Contains One Obtuse Angle
3) Acute Triangle - All Three Angles Are Acute.

Question 24

What are the Five Types of Quadrilateral Figures?

Answer 24

1) Square - Equilateral and Right-Angled.
2) Oblong (Rectangle) - Right-Angled But Not Equilateral
3) Rhombus - Equilateral but not Right-Angled
4) Rhomboid - That which has its opposite sides and angles equal but is neither equilateral or right-angled.
5) Trapezia - All Other Quadrilaterals.

Question 25

Define Parallel.

Answer 25

Straight Lines which are in the same plane and infinite in both directions and do not meet in either direction.

Question 26

What is Postulate 1?

Answer 26

To draw a straight line from any point to any point.

Question 27

What is Postulate 2?

Answer 27

To produce a finite straight line continuously in a straight line.

Question 28

What is Postulate 3?

Answer 28

To describe a circle any center and distance.

Question 29

What is Postulate 4?

Answer 29

All Right Angles are Equal to One Another.

Question 30

What is Postulate 5?

Answer 30

That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which the angles are less than the two right angles.

Question 31

What is Common Notion 1?

Answer 31

Things which are equal to the same thing are equal to each other.

Question 32

What is Common Notion 2?

Answer 32

If equals be added to equal, the wholes are equal.

Question 33

What is Common Notion 3?

Answer 33

If equal be subtracted from equals, the remainders are equal.

Question 34

What is Common Notion 4?

Answer 34

Things Which Coincide With One Another Are Equal to Each Other.

Question 35

What is Common Notion 5?

Answer 35

The Whole is Greater than the Parts.

Question 36

What is Proposition 1?

Answer 36

On a given finite straight line, Construct an Equilateral Triangle.

Question 37

What is Proposition 2?

Answer 37

To place at a Given Point a Straight Line Equal to A Given Straight Line.

Question 38

What is Proposition 3?

Answer 38

Given Two Unequal Straight Lines, Cut Off From the Greater a Straight Line Equal to the Less.

Question 39

What is Proposition 4?

Answer 39

If two triangles have the two sides equal to two sides respectively, and have the angles contained by the equal straight lines equal, they will also have the base equal to the base and the triangle equal to the triangle. (Otherwise known as the Side-Angle-Side Theorem).