Coordinate plane word problems with polygons

The  exercise appears under the Algebra I Math Mission. This exercise uses the coordinate plan to better understand polygons and graphing.

Types of Problems
There are two types of problems in this exercise:


 * 1) Unpictured context problem: This problem provides a word problem involving coordinates. The student is expected to use known formulas to complete the problem and provide the correct responses.Cpwpwp1.png
 * 2) Pictured context problem: This problem provides a word problem involving coordinates and a picture on the coordinate plane. The student is expected to use known formulas to complete the problem and provide the correct responses.Cpwpwp2.png

Strategies
Knowledge of graphing and the big three analytic geometry formulas will ensure success on this exercise.
 * 1) The slope is rise over run, or $$ y_2-y_1/x_2-x_1 $$.
 * 2) The distance formula is the Pythagorean theorem, $$ d=sqrt(delta(x)^2+delta(y)^2)$$.
 * 3) The midpoint formula is the average of the x's and y's,  ((x_1+x_2)/2,(y_1+y_2)/2).
 * 4) Be prepared for rounding to the tenths place.

Real-life Applications

 * 1) These problems are real-life applications! The formulas above are common in urban planning and architecture for example.