Quiz 1 Deck (Reasons to Study Geometry, Definitions, Postulates, Common Notions, Propositions 1-4) Flashcards
(39 cards)
Define Point.
That which has no part.
Define Line.
A Breadth-less length whose extremities are points.
What are the extremities of lines?
Points.
Define Straight Line.
A line which lies evenly with the points on itself.
Define Surface.
That which has length and breadth only and whose extremities are lines.
What are the extremities of a surface?
Lines.
Define a Plane Surface.
A surface that lies evenly with the straight lines on itself.
Define a Plane Angle.
The inclination to one another two lines in a plane which meet one another and do not lie in a straight line.
Define a Rectilineal Angle.
An Angle formed when the lines containing the angle are straight lines.
Define a Right Angle.
When a Straight line set up on a straight line makes the adjacent angles equal.
Define a Perpendicular Line
The Straight Line Standing on the Line that forms right angles.
Define an Obtuse Angle.
An Angle Greater than a Right Angle.
Define an Acute Angle.
An Angle Less Than a Right Angle.
Define a Boundary.
That which is an extremity of anything.
Define a figure.
That which is constrained by a boundary or boundaries.
Define a Circle.
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.
Define the center of a circle.
The point upon which lines drawn from it to the boundary are equal to one another.
Define the Diameter of a Circle.
Any Straight Line Through the Center of the Circle that termites at the Circumference and Bisects the Circle.
Define a Semi-Circle.
A figure contained by the diameter and circumference cut off by it. (The center is still the same as the original semi-circle.)
Define Rectilineal Figures.
Those contained by Straight Lines.
What are the different classifications of rectilinear figures?
1) Trilateral - Composed of 3 lines.
2) Quadrilateral - Composed of 4 lines.
3) Multilateral - More than 4 lines.
What are the three types of Trilateral figures?
1) Equilateral - 3 Equal Sides.
2) Isosceles - 2 Equal Sides.
3) Scalene - 3 Unequal Sides.
How can Trilateral figures be classified based on angles?
1) Right Angled - Contains a Right Angle
2) Obtuse Triangle - Contains One Obtuse Angle
3) Acute Triangle - All Three Angles Are Acute.
What are the Five Types of Quadrilateral Figures?
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.
