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Instructional Video6:35
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\n\"Perpendicular\n\n
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\nCorbett Maths\n
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\nPerpendicular Bisector\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nWhere should the statue be located? The resource explains how to use a compass and straight-edge to construct the perpendicular bisector of a line segment. Using an exam question, the narrator models how to solve an application problem...\n
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Lesson Plan
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\n\"Perpendicular\n\n
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\nCurated OER\n
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\nPerpendicular Bisector of a Line Segment\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nHigh Schoolers investigate the perpendicular bisector of a line segment. They use Cabri Jr. to construct the perpendicular bisector of a segment. The dynamics capabilities of Cabri Jr. allow your learners to observe the lengths of the...\n
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\n\"Constructions\n\n
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\nOdell Education\n
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\nConstructions\n

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\n\nFor Teachers\n\n9th - 11th\n\nStandards\n
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\nPupils learn the steps for basic constructions using a straightedge, a compass, and a pencil. Pairs develop the skills to copy a segment and an angle, bisect a segment and an angle, and construct parallel and perpendicular lines.\n
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Lesson Plan
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\n\"Construct\n\n
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\nEngageNY\n
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\nConstruct a Perpendicular Bisector\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nHow hard can it be to split something in half? Learners investigate how previously learned concepts from angle bisectors can be used to develop ways to construct perpendicular bisectors. The resource also covers constructing a...\n
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Lesson Plan
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\n\"Cabri\n\n
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\nCurated OER\n
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\nCabri Jr. Perpendicular Bisector of a Chord\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nYour learners will construct the perpendicular bisector of a chord. They use Cabri Jr. to construct a circle and a perpendicular bisector of a chord. They then measure lengths of the chords and perpendicular bisectors. Learners use...\n
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\n\"Characterize\n\n
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\nEngageNY\n
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\nCharacterize Points on a Perpendicular Bisector\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nLearn transformations through constructions! Pupils use perpendicular bisectors to understand the movement of a reflection and rotation. They discover that the perpendicular bisector(s) determine the line of reflection and the...\n
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\n\"Perpendicular\n\n
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\nCurated OER\n
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\nPerpendicular Bisector Theorem\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nHigh schoolers construct perpendicular bisectors using Cabri Jr. on their graphing calculator. They then construct conditional statements about perpendicular bisectors along with their converse, inverse, and contrapositive.\n
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\n\"Congruence,\n\n
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\nCongruence, Proof, and Constructions\n

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\n\nFor Teachers\n\n8th - 10th\n\nStandards\n
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\nThis amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs.  Each of the almost-forty lessons...\n
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Instructional Video3:07
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\n\"Perpendicular\n\n
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\nCK-12 Foundation\n
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\nPerpendicular Bisectors: Lesson\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nGet right up and split it in half. Using a diagram, the video provides the definition of a perpendicular bisector. The portion in a playlist on basic geometry explains perpendicular bisector of a segment and of triangle sides properties.\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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Instructional Video1:54
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\n\"Perpendicular\n\n
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\nCorbett Maths\n
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\nPerpendicular Through a Point on a Line\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nUse one construction to complete a second. The short video shows how to incorporate the steps of a perpendicular bisector to create a perpendicular to a point on a line. With their own straightedges and compasses, classmates then...\n
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Worksheet
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\n\"Construct,\n\n
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\nCurated OER\n
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\nConstruct, Bisect, Duplicate: Geometry Practice with Compass and Straight Edge\n

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\n\nFor Students\n\n9th - 12th\n
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\nGeometers employ a straight edge and compass to duplicate and bisect segments and angles, construct perpendiculars, parallel lines, figures, and circles with points of concurrency. Ample practice with 65 questions across 8 worksheets. No...\n
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\n\"Construction\n\n
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\nCurated OER\n
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\nConstruction Circles\n

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\nPupils investigate the number of points needed to determine a unique circle in a plane. Using Cabri Jr., they apply construction techniques to generate a circle that passes through a given number of points.\n
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Worksheet
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\n\"Angle\n\n
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\nCurated OER\n
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\nAngle Constructions\n

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\nIn this angle constructions learning exercise, 6th graders solve and complete 4 various types of problems. First, they construct a perpendicular bisector of two points. Then, students construct an angle bisector for the angle shown. In...\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 6: Congruence, Construction, and Proof\n

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\n\nFor Teachers\n\n8th - 10th\n\nStandards\n
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\nTrace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...\n
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Lesson Plan
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\n\"Constructing\n\n
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\nCurated OER\n
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\nConstructing a Perpendicular Bisector\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nHigh schoolers practice constructing a perpendicular bisector. During a demonstration, they discover the meaning of bisector and perpendicular and answer questions why these steps shown are going to work. They use a compass and a...\n
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Lesson Plan
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\n\"Reflections\n\n
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\nEngageNY\n
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\nReflections\n

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\nFacilitate creativity in your math class as individuals learn the definition of a geometric reflection and correctly construct a model, as well as its reflected image. They use a perpendicular bisector and circles to elaborate on...\n
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\n\"Parallel\n\n
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\nCurated OER\n
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\nParallel and Perpendicular Line Construction\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nIn this geometry worksheet, learners construct parallel and perpendicular lines given a straight edge and a compass. Their lines pass through a given point. There are 4 questions with an answer key.\n
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Activity
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\n\"Points\n\n
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\nIllustrative Mathematics\n
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\nPoints equidistant from two points in the plane\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nYoung geometers apply their deductive reasoning skills and knowledge of proving triangles congruent in a task that asks them to prove if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints...\n
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Worksheet
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\n\"The\n\n
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\nCurated OER\n
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\nThe Center of a Circle\n

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\nIn this center of the circle worksheet, 10th graders solve 5 different center of the circle measurements. First, they draw a circle and add two points on it. From there, students construct a line segment and a midpoint on the line...\n
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Worksheet
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\n\"Triangles\n\n
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\nCurated OER\n
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\nTriangles\n

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\nIn this triangles worksheet, 10th graders solve 3 extensive informal geometry problems that involve triangles. First, they sketch a triangle, selecting 3 of the sides and constructing 3 midpoints. Students then draw each of 3 medians by...\n
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Lesson Plan
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\n\"Exploring\n\n
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\nCurated OER\n
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\nExploring the Circumcenter of a Triangle\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nStudents construct the circumcenter of a triangle. In this constructing the circumcenter of a triangle lesson, students construct a triangle using Cabri Jr. Students draw perpendicular bisectors of the sides of the triangle. Students...\n
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Lesson Plan
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\n\"Constructing\n\n
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\nCurated OER\n
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\nConstructing Perpendicular Bisectors\n

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\nTenth graders investigate parallel lines and the angles formed when cut by a transversal. In this geometry lesson plan, 10th graders construct perpendicular lines and discuss midpoint, segments and perpendicular bisectors. They relate...\n
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Instructional Video4:14
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\n\"How\n\n
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\nSocratica\n
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\nHow Do You Find the Center of a Circle?\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nThe center of the circle is the center of attention for the resource. A brief video in the Socratica Geometry playlist shows how to find the center of a circle not on the coordinate plane. The method here is to construct the...\n
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