ASA & SSS Triangle Explorations
Today we will be learning about two new triangle congruence postulates. Someone in your group will need to create a google doc & share it with your group members. This is where you will record what you all discuss while working through the activities. One person should upload the doc on Google Classroom.
Table of Contents
- Angle-Side-Angle
- Angle-Side-Angle Worksheet
- Side-Side-Side
- Side-Side-Side Worksheet
Angle-Side-Angle Worksheet
Group Discussion Questions
[list=1][*]What are you initially given in this applet? Is there a certain order this is given in?[/*][*]What affect does the blue slider have on the applet?[br][/*][*]What affect does the red slider have on the applet?[br][/*][*]What affect does the green slider have on the applet?[br][/*][*]Why would there be a circle in this applet?[br][/*][*]What does point C represent?[br][/*][*]As a group set you sliders to certain measurements. What [/*][*] a. information have you set in store for this triangle?[br][/*][*] b. How many different triangles does this create?[br][/*][*]What is the generalization you can now make if you are given an angle, a side, and another angle of a triangle?[br][/*][*]Do you think that, that same generalization will hold if you change the order of the given angle, side and other angle? (the given side isn't between the two given angles) Why or why not?[br][/*][*]What do you think this means if two different triangles (ABC and DEF) have the the following: angle A = Angle D, Angle C = Angle F, side AC = side DF?[/*][/list]
Side-Side-Side Worksheet
Group Discussion Questions
[list=1][*]What are you initially given in this applet? Is there a certain order this is given in?[/*][*]What affect does the blue slider have on the applet?[br][/*][*]What affect does the red slider have on the applet?[br][/*][*]What affect does the green slider have on the applet?[br][/*][*]What is the definition of a circle?[br][/*][*]Why is it necessary for us to have three circles in this exploration?[/*][*]How will we create a triangle with what is given to us in the exploration?[/*][*]As a group set you sliders to certain measurements. [/*][*] a. What information have you set in store for this triangle?[br][/*][*] b. How many different triangles does this create?[br][/*][*]Will all measurements always work (think about what if I am given a side length of 1 and the other two side lengths are 15)?[/*][*]What is the generalization you can now make if you are given three sides of a triangle?[br][/*][*]What do you think this means if you are given two different triangles (ABC and DEF) and AB = DE, AC=EF, and BC=EF?[/*][/list]