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Worksheet
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\n\"Geometry:\n\n
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\nCurated OER\n
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\nGeometry: Properties of Triangles\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this properties of triangles worksheet, learners use their knowledge of triangles to find determine angle measurement. They use geometric theorems to prove equal angles. This three-page worksheet contains 15 multi-step geometry...\n
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\n\"Proofs\n\n
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\nCurated OER\n
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\nProofs Of The Pythagorean Theorem?\n

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\n\nFor Students\n\n8th\n\nStandards\n
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\nEven U.S. President James Garfield had his own proof of the Pythagorean Theorem! Pupils consider three different attempts at a geometric proof of the Pythagorean Theorem. They then select the best proof and write paragraphs detailing...\n
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Instructional Video2:31
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\n\"Angle\n\n
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\nCorbett Maths\n
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\nAngle in a Semi-Circle – Proof\n

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\n\nFor Students\n\n6th - 12th\n\nStandards\n
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\nYoung mathematicians observe a geometric proof using a short video. They see each part of the diagram clearly labeled and the simple math written off to the side. The new knowledge helps them solve additional problems independently.\n
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Instructional Video22:27
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\n\"Unit\n\n
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\nFlipped Math\n
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\nUnit 5 Review: Quadrilaterals and Polygons\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nYes, it will be on the test. Young mathematicians first view an educational video to refresh their memories about material from the unit. They then complete a review worksheet where they find the measures of interior angles of polygons,...\n
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Assessment
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\n\"Congruent\n\n
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\nMath Worksheets Center\n
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\nCongruent Triangle Proofs Quiz\n

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\n\nFor Students\n\n9th - 12th\n
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\nA congruent triangles quiz challenges teenage mathematicians to complete a pair of geometric proofs. Each problem includes a picture of the triangles in question, a given set of information, and the five steps needed to finish the proof....\n
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Worksheet
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\n\"Proofs\n\n
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\nCurated OER\n
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\nProofs Chapter 2: Geometry\n

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\n\nFor Students\n\n10th - 11th\n
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\nIn this geometry worksheet, students look at given pictures and prove congruent lines and angles. This three-page worksheet contains nine multi-step problems.\n
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Interactive
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\n\"Squaring\n\n
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\nShodor Education Foundation\n
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\nSquaring the Triangle\n

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\n\nFor Students\n\n8th - 12th\n\nStandards\n
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\nTeach budding mathematicians how to square a triangle with an interactive that shows a graphical proof of the Pythagorean Theorem. Pupils alter the lengths of the legs using sliders. Using the inputted lengths, the applet displays the...\n
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Worksheet
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\n\"Proofs\n\n
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\nCurated OER\n
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\nProofs\n

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\n\nFor Students\n\n8th - 11th\n
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\nIn this geometric proof worksheet, students compose 20 triangle congruency proofs. Students will decide if there is enough information in problems 1-6 to prove if any triangles are congruent. In problems 17 to 20, students use given...\n
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Instructional Video1:19
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\n\"Sum\n\n
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\nSocratica\n
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\nSum of the Angles in a Triangle\n

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\n\nFor Students\n\n6th - 10th\n
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\nYou know that triangles have angle sums of 180 degrees, but can you prove it? A brief video in the Socratica Geometry series highlights an informal geometric proof. It shows that the sum of the interior angles of a triangle is 180...\n
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Worksheet
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\n\"The\n\n
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\nMt. San Antonio Collage\n
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\nThe Trapezoid\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nEnjoy this nicely organized instructional activity that puts together multiple problems regarding trapezoid proofs. The resource can be used as a guide that begins with proving properties and ends with solving for measures of line...\n
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Worksheet
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\n\"Inequalities\n\n
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\nMt. San Antonio Collage\n
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\nInequalities in a Triangle\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nStuck with triangle proofs? Take a 180° and provide learners with a guided worksheet that tests their knowledge with triangle inequalities. The questions require different types of proofs that range in levels of difficulty. \n
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Unit Plan
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\n\"Congruence,\n\n
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\nMathematics Vision Project\n
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\nCongruence, Construction and Proof\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nLearn about constructing figures, proofs, and transformations. The seventh unit in a course of nine makes the connections between geometric constructions, congruence, and proofs. Scholars learn to construct special quadrilaterals,...\n
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Lesson Plan
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\n\"Review\n\n
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\nEngageNY\n
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\nReview of the Assumptions (part 1)\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nWhat was the property again? Tired of hearing this from your pupils? Use this table to organize properties studied and as a reference tool for individuals. Learners apply each property in the third column of the table to ensure their...\n
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Lesson Plan
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\n\"Pythagorean\n\n
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\nEngageNY\n
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\nPythagorean Theorem, Revisited\n

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\n\nFor Students\n\n8th\n\nStandards\n
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\nTransform your pupils into mathematicians as they learn to prove the popular Pythagorean Theorem. The 16th instructional activity in the series of 25 continues by teaching learners how to develop a proof. It shows how to prove the...\n
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Unit Plan
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\n\"Module\n\n
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\nMathematics Vision Project\n
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\nModule 2: Congruence, Construction and Proof\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nConstruct yourself a winning geometry unit. A set of lessons introduces geometry scholars to constructions and proofs with compasses and straightedges. It also covers triangle congruence through transformations. This is the second of...\n
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Worksheet
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\n\"Accelerated\n\n
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\nGeometry Accelerated\n
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\nAccelerated Geometry Review Sheet\n

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\n\nFor Students\n\n8th - 10th\n\nStandards\n
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\nYour geometry learners use their knowledge of various geometric concepts to write proofs. Starting with givens containing parallel line segments with transversals and triangles and quadrilaterals, and the mid-point and distance formulas;...\n
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Instructional Video16:33
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\nMore with Proofs\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nProofs may be as easy as 1, 2, 3 ... maybe. Pupils participate in creating four example proofs. The presentation uses a list of geometric properties to develop the proofs by filling in both the statements and reasons. Scholars practice...\n
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Instructional Video3:40
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\n\"Indirect\n\n
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\nCK-12 Foundation\n
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\nIndirect Proofs in Algebra and Geometry: Lesson\n

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\n\nFor Students\n\n7th - 12th\n
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\nIndirectly, it is a good proof method. A segment of a playlist on geometry introduces a way to prove geometric and algebraic statements. Using a general examples, the video shows how to develop an indirect proof.\n
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Lesson Plan
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\n\"End-of-Module\n\n
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\nEngageNY\n
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\nEnd-of-Module Assessment Task - Geometry (module 1)\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nHave you hit a wall when trying to create performance task questions? Several open-ended response questions require a deep level of thinking. Topics include triangle congruence, quadrilaterals, special segments, constructions, and...\n
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Assessment
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\n\"Quadrilaterals\n\n
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\nInside Mathematics\n
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\nQuadrilaterals\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nWhat figure is formed by connecting the midpoints of the sides of a quadrilateral? The geometry assessment task has class members work through the process of determining the figure inscribed in a quadrilateral. Pupils use geometric...\n
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Lesson Plan
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\n\"Shortest\n\n
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\nIllustrative Mathematics\n
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\nShortest Line Segment from a Point P to a Line L\n

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\n\nFor Teachers\n\n9th - 11th\n\nStandards\n
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\nOne of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the...\n
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Handout
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\n\"Coordinate\n\n
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\nShmoop\n
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\nCoordinate Proofs\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nHow do you know you know? Prove it! The guide goes through several examples and includes a link to a video to teach learners how to work through coordinate proofs. The goal is to prove that different shapes are indeed that shape. \n
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Worksheet
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\n\"Geometry\n\n
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\nJesuit High School\n
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\nGeometry Sample Problems\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nI'd like to prove that this worksheet has a lot to offer. Seven problems using triangles and parallelograms practice the traditional method of a two-column proof. After the worksheet is some practice problems that show worked out...\n
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Lesson Plan
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\n\"Triangle\n\n
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\nEngageNY\n
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\nTriangle Congruency Proofs (part 1)\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nCan they put it all together? Ninth graders apply what they know about proofs and triangle congruence to complete these proofs. These proofs go beyond the basic triangle congruence proofs and use various properties, theorems, and...\n
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