4-7 - 4-7 4-7Introduction CoordinateProof Proof Warm Up...

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Holt Geometry 4-7 Introduction to Coordinate Proof 4-7 Introduction to Coordinate Proof Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz
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Holt Geometry 4-7 Introduction to Coordinate Proof Warm Up Evaluate. 1. Find the midpoint between (0, 2 x ) and (2 y , 2 z ). 2. One leg of a right triangle has length 12, and the hypotenuse has length 13. What is the length of the other leg? 3. Find the distance between (0, a ) and (0, b ), where b > a . ( y , x + z ) 5 b a
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Holt Geometry 4-7 Introduction to Coordinate Proof Position figures in the coordinate plane for use in coordinate proofs. Prove geometric concepts by using coordinate proof. Objectives
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Holt Geometry 4-7 Introduction to Coordinate Proof coordinate proof Vocabulary
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Holt Geometry 4-7 Introduction to Coordinate Proof You have used coordinate geometry to find the midpoint of a line segment and to find the distance between two points. Coordinate geometry can also be used to prove conjectures. A coordinate proof is a style of proof that uses coordinate geometry and algebra. The first step of a coordinate proof is to position the given figure in the plane. You can use any position, but some strategies can make the steps of the proof simpler.
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Holt Geometry 4-7 Introduction to Coordinate Proof
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Holt Geometry 4-7 Introduction to Coordinate Proof Position a square with a side length of 6 units in the coordinate plane. Example 1: Positioning a Figure in the Coordinate Plane You can put one corner of the square at the origin.
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Holt Geometry 4-7 Introduction to Coordinate Proof Check It Out! Example 1 Position a right triangle with leg lengths of 2 and 4 units in the coordinate plane. ( Hint : Use the origin as the vertex of the right angle.)
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