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Name Per. Date Geometry Analytic Proof Quadrilateral is a parallelogram By Slope Formula Day 8 CW/HW 1. The points A (2, 3), B (1, 5), C (2, 9) and D (1, 7) are the vertices of a quadrilateral. Prove
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How to fill out geometry analytic proof quadrilateral
How to fill out geometry analytic proof quadrilateral
01
Step 1: Start by drawing the quadrilateral on a coordinate plane.
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Step 2: Label the vertices of the quadrilateral as A, B, C, and D.
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Step 3: Determine the coordinates of each vertex. For example, if vertex A is located at (x1, y1), vertex B at (x2, y2), vertex C at (x3, y3), and vertex D at (x4, y4).
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Step 4: Calculate the slopes of the four lines formed by connecting the consecutive vertices of the quadrilateral.
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Step 5: Check if the slopes are equal. If they are equal, it indicates that the quadrilateral is a parallelogram.
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Step 6: Calculate the lengths of the four sides using the distance formula.
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Step 7: Check if the opposite sides are congruent. If they are congruent, it indicates that the quadrilateral is a rectangle or a rhombus.
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Step 8: Calculate the angles of the quadrilateral using the slope of the lines or the length of the sides.
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Step 9: Check if the opposite angles are congruent. If they are congruent, it indicates that the quadrilateral is a parallelogram or a rectangle.
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Step 10: Analyze the obtained information to classify the quadrilateral as a specific type.
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Step 11: Write the analytic proof by presenting the steps and conclusions based on the calculations and properties of the quadrilateral.
Who needs geometry analytic proof quadrilateral?
01
Students studying geometry or mathematics
02
Mathematics teachers
03
Math enthusiasts
04
Individuals working in fields that require geometry analysis, such as architecture or engineering
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What is geometry analytic proof quadrilateral?
Geometry analytic proof quadrilateral is a mathematical proof that uses analytic geometry techniques to prove properties of a quadrilateral.
Who is required to file geometry analytic proof quadrilateral?
Geometry analytic proof quadrilateral is typically required to be filed by students studying geometry or mathematicians working on geometric proofs.
How to fill out geometry analytic proof quadrilateral?
To fill out a geometry analytic proof quadrilateral, one must use algebraic equations and geometric principles to prove the properties of a quadrilateral.
What is the purpose of geometry analytic proof quadrilateral?
The purpose of geometry analytic proof quadrilateral is to provide a rigorous and logical explanation for the properties of a quadrilateral using analytic geometry techniques.
What information must be reported on geometry analytic proof quadrilateral?
The information reported on a geometry analytic proof quadrilateral typically includes the coordinates of the vertices of the quadrilateral, the equations of the lines that form the sides, and the calculations used to prove the properties of the quadrilateral.
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