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GeoGebraGeoGebra Ders

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. Use the polygon tool to shade in the triangle.

Triangle 1: Scalene Triangle

Given: segment AB with A(3, 1) & B(1, 4) Plot point C such that ABC is a scalene triangle.

Prove ABC is a scalene triangle.

Triangle 2: Right Triangle

Given: segment DE with D(3, 1) & E(1, 4) Plot point D such that DEF is a right triangle.

Prove DEF is a right triangle.

Triangle 3: Isosceles Triangle

Given: segment GH with G(3, 1) & H(1, 4) Plot point I such that GHI is an isosceles triangle.

Prove GHI is an isosceles triangle.

Triangle 4: Equilateral Triangle

Given: segment JK with J(3, 1) & K(1, 4) Construct point L such that JKL is an equilateral triangle.

Prove JKL is an equilateral triangle.