Bell Ringer What does the isosceles triangle theorem prove? QOW: If you could turn any activity into an Olympic sport, what would you have a good chance at winning a medal for?

Triangles and Coordinate Proof Section 4.7 (Last Section!!)

Coordinate Proofs -the use of figures in the coordinate plane and algebra to prove geometric concepts

Example 1 Position and label right triangle MNP on the coordinate plane so that leg MN is a units long and leg NP is b units long. So what does that mean? Step 1: Use origin as a vertex or center of triangle Step 2: Place at least one side of a triangle on an axis Step 3: Keep the triangle within the first quadrant if possible Step 4: Use coordinates that make computations as simple as possible

You try Position and label isosceles triangle JKL on the coordinate plane so that its base JL is a units, vertex K is on the y- axis, and the height of the triangle is b units.

Example 2 - Identify Missing Coordinates Name the missing coordinates of isosceles triangle XYZ

You Try Name the missing coordinates of isosceles right triangle ABC

Example 3- Write A Coordinate Proof

You Try

Real- World Example