Introduction to Coordinate Geometry and the Cartesian Plane

Covers the historical roots of geometry, the axiomatic approach of Euclid, the analytic approach of Descartes, and the rectangular Cartesian coordinate system with its quadrants.

download Export
search_insights Statistics
stylus_note White Board
Quran
calculate Calculator
dictionary Dictionary
fullscreen Full Screen
QUESTION OF
volume_mute Read quiz aloud
Views #: 138
Questions #: 10
Time: 15 minutes
Pass Score: 80.0%
Style
Mode

The Father of Geometry

1 pts
volume_mute
Which mathematician is credited as the pioneer who developed geometry as a systematic discipline, and is said to be the father of geometry?
note_alt Add notes
✕
flag Flag
volume_mute

Correct Answer

Explanation

The Founder of Analytic Geometry

1 pts
volume_mute
Which mathematician introduced the analytic approach to geometry by systematically using algebra, publishing this idea in "La Geometrie" in 1637?
note_alt Add notes
✕
flag Flag
volume_mute

Correct Answer

Explanation

The Undefined Terms of Euclidean Geometry

1 pts
volume_mute
Missing
In Euclidean geometry, the approach starts with three undefined terms: point, line, and ______.
note_alt Add notes
✕
flag Flag
volume_mute

Correct Answer

Explanation

A Basic Axiom of Geometry

1 pts
volume_mute
According to the axioms accepted as self-evident truths, how many distinct points determine one and only one line?
note_alt Add notes
✕
flag Flag
volume_mute

Correct Answer

Explanation

Identify the Quadrant

1 pts
volume_mute
xyIIIIIIIVO

The four quadrants of the number plane R²

In the diagram shown, quadrant II is characterized by which signs of (x, y)?

note_alt Add notes
✕
flag Flag
volume_mute

Correct Answer

Explanation

Sort the Points by Quadrant

4 pts
volume_mute
Points
×(2, 3)
×(−2, 3)
×(−2, −3)
×(2, −3)
Quadrant I
Quadrant II
Quadrant III
Quadrant IV

Classify each point by the quadrant it lies in

note_alt Add notes
✕
flag Flag
volume_mute

Correct Answer

Explanation

Coordinates of the Origin

1 pts
volume_mute
The origin of the rectangular Cartesian coordinate system is identified by the ordered pair:
note_alt Add notes
✕
flag Flag
volume_mute

Correct Answer

Explanation

Name of the x-coordinate

1 pts
volume_mute
Missing
In the ordered pair (a, b) representing a point P, the first number a is called the x-coordinate or the ______.
note_alt Add notes
✕
flag Flag
volume_mute

Correct Answer

Explanation

Name of the y-coordinate

1 pts
volume_mute
Missing
In the ordered pair (a, b) representing a point P, the second number b is called the y-coordinate or the ______.
note_alt Add notes
✕
flag Flag
volume_mute

Correct Answer

Explanation

The Number Plane

1 pts
volume_mute
The set of all ordered pairs of real numbers, denoted R², is called the:
note_alt Add notes
✕
flag Flag
volume_mute

Correct Answer

Explanation

✕
0
sin cos tan
sin-1 cos-1 tan-1 π e
xy x3 x2 ex 10x
y√x 3√x √x ln log
( ) 1/x % n!
7 8 9 + MS
4 5 6 – M+
1 2 3 × M-
0 . EXP ÷ MR
± RND C = MC
Keywords
Year 8