Transcription of GEOMETRY COORDINATE GEOMETRY Proofs
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GEOMETRY COORDINATE GEOMETRY Proofs
GEOMETRY COORDINATE GEOMETRY Proofs Name _____ Period _____ Table of Contents Day 1: SWBAT: Use COORDINATE GEOMETRY to Prove Right Triangles and Parallelograms Pgs: 2 8 HW: Pgs: 9 12 Day 2: SWBAT: Use COORDINATE GEOMETRY to Prove Rectangles, Rhombi, and Squares Pgs: 13 - 18 HW: Pgs: 19 21 Day 3: SWBAT: Use COORDINATE GEOMETRY to Prove Trapezoids Pgs: 22 - 26 HW: Pgs: 27 28 Day 4: SWBAT: Practice Writing COORDINATE GEOMETRY Proofs (REVIEW) Pgs: 29 - 31 Day 5: TEST 1 COORDINATE GEOMETRY Proofs Slope: We use slope to show parallel lines and perpendicular lines. Parallel Lines have the same slope Perpendicular Lines have slopes that are negative reciprocals of each other. Midpoint: We use midpoint to show that lines bisect each other. Lines With the same midpoint bisect each other Midpoint Formula: 2121,22yyxxmid Distance: We use distance to show line segments are equal.
Day 4 – Practice writing Coordinate Geometry Proofs 1. The vertices of ABC are A(3,-3), B(5,3) and C(1,1). Prove by coordinate geometry that ABC is an isosceles right triangle. 2. Given ABC with vertices A(-4,2), B(4,4) and C(2,-6), the midpoints of AB and BC are P and Q, respectively, and PQ is drawn. Prove by coordinate geometry: a.
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