Creating Triangles

Please enter the names of your group members.

Directions:

For each triangle, you are given two of the three vertices. Your goal is to plot the third vertex of the triangle and use coordinate geometry to defend your coordinates. [br][br]Use the polygon tool to shade in the triangle.

MathBits Notebook - Types of Triangles

Triangle 1: Scalene Triangle

Given: segment AB with A(3, 1) & B(1, 4)[br][br]Plot point C such that [math]\bigtriangleup[/math]ABC is a [b]scalene[/b] triangle.

Prove [math]\bigtriangleup[/math]ABC is a [b]scalene[/b] triangle.

Triangle 2: Right Triangle

Given: segment DE with D(3, 1) & E(1, 4)[br][br]Plot point D such that [math]\bigtriangleup[/math]DEF is a [b]right[/b] triangle.

Prove [math]\bigtriangleup[/math]DEF is a [b]right[/b] triangle.

Triangle 3: Isosceles Triangle

Given: segment GH with G(3, 1) & H(1, 4)[br][br]Plot point I such that [math]\bigtriangleup[/math]GHI is an [b]isosceles[/b] triangle.

Prove [math]\bigtriangleup[/math]GHI is an [b]isosceles[/b] triangle.

Triangle 4: Equilateral Triangle

Given: segment JK with J(3, 1) & K(1, 4)[br][br]Construct point L such that [math]\bigtriangleup[/math]JKL is an [b]equilateral[/b] triangle.

Prove [math]\bigtriangleup[/math]JKL is an [b]equilateral[/b] triangle.