4-7+Triangles+and+Coordinate+Proof

4-7 Triangles and Coordinate Proof

http://regentsprep.org/Regents/math/geometry/GCG4/CoordinatepRACTICE.htm

http://www.nexuslearning.net/books/ML-Geometry/Chapter4/ML%20Geometry%204-7%20Triangles%20and%20Coordinate%20Proof.pdf

http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=9&sqi=2&ved=0CFQQFjAI&url=http%3A%2F%2Fwww.taosschools.org%2Fths%2FDepartments%2FMathDept%2Fquintana%2FGeometryPPTs%2F4.7%2520Triangles%2520%26%2520the%2520Coordinate%2520Plane.ppt&ei=-7sYT_KZIum30gGly_zlCw&usg=AFQjCNEANftL0xZWh47BZVZpA0qoENouBg&sig2=PFQxlbWWugOn-MLdj24fkw

http://mcuer.blogspot.com/2007/07/geometry-chapter-47-triangles-and.html

Definition:

Coordinate proof: involves geometric figures in a coordinate plane.

Theorems: Distance Formula Midpoint Formula

This sections covers triangles and coordinate planes. It involves finding the distance between coordinates to find a triangle. It also involves finding the midpoint of the hypotenuse of a right triangle. You will have equations to find these points and sections of a triangle. You must be able, by the end of this section, to know how to find these points with and without a coordinate plane. The page numbers in the textbook for this are 243-250.

Examples:

1) The coordinates of a triangle are (6,0), (6,6) and (0,0). Find the length of the hypotenuse using the distance formula. D= √ (0-6)2 + (0-6)2 D= √36 + 36 D= √72 D= 8.485281374 or 6√2

For more examples: http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&ved=0CCkQFjAA&url=http%3A%2F%2Fwww.nexuslearning.net%2Fbooks%2FML-Geometry%2FChapter4%2FML%2520Geometry%25204-7%2520Triangles%2520and%2520Coordinate%2520Proof.pdf&ei=0RMbT7qQK8WP0QH5jZGYCw&usg=AFQjCNGC9bjvliFk_f1iNq28h4nV3IIaQw&sig2=-M8OhQypMuNNkRxKWUs8MQ

Problems: http://www.classzone.com/etest/viewTestPractice.htm?testId=4509

By: Eric Stigliano