![]() State whether each of the following can be determined with coordinate geometry. Prove: The diagonals of a square are perpendicular., In proving statements using the coordinate method, the placement of the figure can simplify the algebraic work.Yes, with the distance or midpoint formulas.State whether each of the following can be determined with coordinate geometry.What types of proofs can be done with C.G.? ĭeciding whether C.G. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright. Part 1 The Quadrilateral Family Tree Directions: Answer each question as True or False on the line provided. ![]() Therefore the diagonals of rectangles are congruent. Quiz your students on Coordinate Geometry Proofs - Which tool to use practice problems using our fun classroom quiz game Quizalize and personalize your teaching. For example, we can see that opposite sides of a parallelogram are parallel by writing a linear equation for each side and seeing that the slopes are the same. ![]() ![]() How Does a Coordinate Proof Work? Proofs using coordinate geometry use the slope, midpoint, and distance formulas to proof rules and theorems.Įx: Prove a Rectangle Has Congruent Diagonals Step 1: Place the figure on the xy-axis Step 2: Correctly label the points Step 3: Write a Given and Prove statement Step 4: Use slope, mp, or distance formulas Step 5: Write a concluding statement ( 0, b ) ( a, b ) B C D A ( 0, 0 ) ( a, 0 ) Given: ABCD is a rectangle Prove: Diagonals are = (AC=BD) AC and BD have the same length. In analytic geometry, also known as coordinate geometry, we think about geometric objects on the coordinate plane. ![]()
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