**Geometry - Coordinate Geometry:**

check out this website:

http://regentsprep.org/Regents/mathb/1D/Coordinatelesson.htm

B(x

Pythagorean Theorem which is:

c

since a = (x

we get

c

so taking the square root of both sides we have our distance formula.

_{1}, y_{1}) and A (x_{2}, y_{2}) is from thePythagorean Theorem which is:

c

^{2}= a^{2}+ b^{2}since a = (x

_{2}– x_{1}) and b = (y_{2}– y_{1})we get

c

^{2}= (x_{2}– x_{1})^{2}+ (y_{2}– y_{1})^{2}so taking the square root of both sides we have our distance formula.

Here are the Slope Formula and the Midpoint Formula:

Using the following chart, if we have to prove congruent segments, we have to show they have equal length by using the distance formula.

Here is a web-site to hopefully help: