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Curated OER
Tangent Lines and the Radius of a Circle
Your Geometry learners will collaboratively prove that the tangent line of a circle is perpendicular to the radius of the circle. A deliberately sparse introduction allows for a variety of approaches to find a solution.
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Angle Relationships
Learners investigate geometric relationship using conjecture about linear pairs and vertical angles. In this geometry lesson, students apply their theorems and previous geometry knowledge to solve for and find angles of linear...
CPM
Cones and Spheres
Geometry whizzes solve and complete 24 different problems that include determining the volume and surface area of spheres and cones. First, they use the given information to determine the volume of a cone. Then, pupils use the given...
Curated OER
Special Right Triangles
Using the Pythagorean Theorem to solve for missing angles, students evaluate right triangles and their properties.
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Transformations in the Coordinate Plane
Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...
Illustrative Mathematics
Similar Triangles
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
Mt. San Antonio Collage
Isosceles Triangles and Special Line Segments
Under which conditions can a triangle be classified as isosceles? High schoolers practice identifying isosceles triangles and special line segments, including angle bisectors, medians of triangles, and perpendicular bisectors of sides of...
Curated OER
The Shortest Distance
Students, working on their GED, examine the steps used to resolve the unknown sides of a right triangle. They express the square root function as an exponential function and derive the distance formula using principles of geometry.
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Exterior and Interior Angles of Triangles
Tenth graders explore the exterior and interior angles of triangles. They use a theorem in order to prove a theorem about all polygons. Students use the theorem and its applications to find the angles of different types of triangles.
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Review of Triangles
Students investigate the Pythagorean Theorem. For this geometry lesson, students define angles and sides of right triangles. They calculate the area and surface area using formulas derived by the Pythagorean Theorem.
Curated OER
Eighteen SSS or SAS Triangle Congruence Problems
In this triangle congruence worksheet, students state if triangles are congruent and if the congruence is based on side, side, side or the side, angle, side theorems in eighteen problems. The solutions are found on the last two pages.
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The Search for Pythagoras' Treasure
Students identify and define properties of triangles. For this geometry lesson, students identify the missing sides and angles of right triangles. They use the rules of the Pythagorean Theorem to solve their problems.
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Applications of Properties of Quadrilaterals in the Coordinate Plane
Learners explore the concept of quadrilaterals. In this quadrilaterals lesson, students use the slope formula, midpoint formula, and distance formula to justify that a given quadrilateral is a parallelogram.
Curated OER
New York State Testing Program Mathematics Test Book 3
In this eighth grade instructional activity, 8th graders assess their knowledge of the major topics of algebra and geometry covered in eighth grade. The lesson contains twelve questions and a mathematics reference sheet.
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Theorems and Formulas for Circles
For this theorems and formulas for circles worksheet, 10th graders solve and complete 13 different types of problems. First, they create a graphic organizer for all the given formulas for circles. Then, students use the labeled pictures...
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Triangles
In this geometry worksheet, 7th graders identify the sides and angles of triangles, examine the Pythagorean Theorem, and complete 2 tables with square numbers. They apply the theorem to find the value of the hypotenuse of 2 triangles.
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Using Proportions Self Check Quiz
In this geometry worksheet, students identify the different ratios of triangles using the theorems. They use SSS, SAS, ASA and AAS to differentiate between triangles. There are 7 questions with an answer key.
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Triangle Angle-Sum Theorem
In this polygons activity, students fill out a graphic organizer about the name of the polygon, the number of sides, the angle sums, and more. Students complete this for 5 polygons.
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Using Properties Multiple Choice
In this geometry learning exercise, learners identify the different properties to represent a given statement. They use proof to show how they arrived at their answer. There are 5 questions with an answer key.
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Arcs and Chords Multiple Choice
In this geometry worksheet, students answer questions about triangles using the correct properties. They find missing angles and sides of triangles. There are 15 questions with an answer key.
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Perpendicular and Angle Bisectors
In this geometry worksheet, 10th graders solve problems that are based on the theorems associated with perpendicular and angle bisectors of a triangle. An application on the coordinate plane is included. The one page...
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Medians and Altitudes of Triangles
In this geometry worksheet, 10th graders determine if a given segment is a median or altitude of a triangle and use then find the indicated missing length or equation of a line. The two page worksheet contains twenty...
Curated OER
Chords of a Circle
In this geometry worksheet, 10th graders calculate the length of a chord and the distance from the center of a circle or radius. They compare diameter, chords and radius. There are 10 questions with an answer key.
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Inverse and Converse
In this geometry worksheet, students identify given statements for the inverse, converse and contra-positive of a conditional statement. There are 9 questions with an answer key.
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