Coordinate Geometry Tools: Distance, Midpoint, Slope
Contains coordinate geometry applets.
Table of Contents
- Preliminary Topics
- Plotting Points (x,y): Dynamic Illustration
- Plotting Points (x,y): Quiz
- Rant Rant Rant Rant!
- Distance
- Distance in the Coordinate Plane (With Hints)
- Distance in the Coordinate Plane (II)
- Distance in the Coordinate Plane (Quiz without Grid)
- Distance in the Coordinate Plane (Quiz With Grid)
- Midpoint
- Midpoint and Endpoint Coordinates Action!
- Midpoint Coordinates (II)
- Midpoint (x,y) of a Segment in the Coordinate Plane (Quiz)
- Endpoint (x,y) of a Segment Given Midpoint & Other Endpoint
- Slope
- Slope: Intuitive Introduction
- Slope (Quiz) I
- Slope (Quiz) II
- Finding Slope Given 2 Points: Question Generator
- Parallel Consequence: Quick Reminder
- Parallel Consequence? (VA)
- Parallel Consequence? (VB)
- Parallel Lines in the Coordinate Plane (VA)
- Parallel Lines in the Coordinate Plane (VB)
- Coordinate Geometry: Quick Investigation
- Parallel and Perpendicular Lines in the Coordinate Plane
- Perpendicular Lines in the CP: Quick Investigation
- Perpendicular Lines Investigation (VA)
- Perpendicular Lines Investigation (VB)
- Parallel & Perpendicular Consequence
- Slope Triangle Rotation (VA)
- Slope Triangle Rotation (VB)
- Angle Measures from Slopes
- Slope to Angle Measure Calculator (I)
- Slope to Angle Measure Calculator (II)
Plotting Points (x,y): Dynamic Illustration
[b][color=#000000]A COORDINATE is a NUMBER or a LETTER that indicates LOCATION. [/color][/b][color=#000000][br]Did you ever play Milton Bradley's game [/color][b][color=#000000]Battleship[/color][/b][color=#000000] as a kid? [br]If so, you dealt with coordinates! "A5" was either a "hit" or a "miss", right? [br]In this game, the "A" and the "5" are called coordinates. [br][br]Your mobile device can indicate your latitude and longitude. [br][b]LATITUDE and LONGITUDE[/b] are numbers that help tell a person his/her [b]LOCATION.[/b] [br]Thus, [b]LATITUDE and LONGITUDE[/b] are said to form a pair of [b]COORDINATES. [/b] [br] [br][/color]Note the coordinate plane below. [color=#0000ff]Press the [/color][color=#38761d]"New Example"[/color][color=#0000ff] button. After doing so press [/color][color=#bf9000]"Plot Point"[/color][color=#0000ff]. [br][/color]Be sure to watch the specific dynamics of how to plot a point correctly. Repeat the [b][color=#0000ff]colored step[/color][/b] above approximately 10 times. [color=#000000]Then, go to the link indicated below the applet. [/color]
[color=#000000]Once you're confident in your ability to plot a point given its coordintes, [url=https://www.geogebra.org/m/AbRPAY8V]click here[/url] to put into practice what you've just learned! [/color]
Distance in the Coordinate Plane (With Hints)
Discovery Lesson (Can be used without interactive figure below)
Midpoint and Endpoint Coordinates Action!
Here, point A is an endpoint and point M is a midpoint. Move A and M where you'd like and slide the slider to find the other endpoint (B).
Slope: Intuitive Introduction
[color=#000000]Discovery Lesson Activity: [br][/color][color=#980000][br][/color][b][color=#0000ff][url=https://docs.google.com/document/d/1W5fggl-QmnwOoT1Yjs2MfZnwVzIF49pflGX33xe0PN0/edit?usp=sharing]Slope: Intuitive Introduction Investigation [/url][/color][/b]
Slope to Angle Measure Calculator (I)
[b]Students: [color=#1551b5]This applet is to be used when trying to use coordinate geometry prove two triangles (drawn in the coordinate plane) congruent.[/color] [/b][br][br][color=#c51414][i]You already know how to calculate the distance between any two points in the coordinate plane, so finding the length of any side of a triangle should be an easy task. [br]However, calculating the measure of an interior angle between two sides of a triangle is a bit more complicated.[/i][/color][br][br][color=#1551b5][b]If you need to calculate the angle measure between any two sides of a triangle, follow the directions in the applet below: [/b] [/color]