Curated OER
More Congruent Triangles
In this congruent triangles worksheet, 10th graders solve 5 various types of geometry problems related to triangles. First, they draw and label triangles, indicating the additional pairs of corresponding parts that would have to be...
Curated OER
Congruent Triangles Homework
In this geometry instructional activity, students use proofs to solve properties of triangles. They differentiate between congruent and similar triangles. There are 15 questions.
Curated OER
Countdown Challenge: Platonic Solids - Part I
Use a Platonic solids worksheet to record the number of faces, edges, and vertices of five polyhedra whose faces, edges, and vertices are all identical. For each figure, learners write a proof of Euler's formula (F+V=E+2). They create a...
Curated OER
Verifying Angle Relationships
In this verifying angle relationships worksheet, 10th graders solve and prove various types of problems related to the verification process of various angle relationships. They complete each of the two proofs shown step-by-step, giving a...
Curated OER
Congruent Triangles
In this congruent triangles worksheet, 10th graders solve and complete 10 different problems that include various forms of triangles. First, they name the method for proving each set of triangles congruent using the given information....
Curated OER
Congruent Triangles
In this congruent triangles worksheet, 10th graders solve and complete 10 different problems to determine whether each set of triangles is congruent or not. First, they copy each diagram onto a piece of paper and mark up the paper with...
Curated OER
Using Properties Multiple Choice
In this geometry worksheet, students 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.
Curated OER
Special Segments in a Triangle
In this geometry worksheet, 10th graders review the vocabulary associated with the special segments of a triangle and the associated points of concurrency and solve problems in which they find the indicated missing angle or...
EngageNY
The Volume of Prisms and Cylinders and Cavalieri’s Principle
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two...
EngageNY
Prove the Pythagorean Theorem Using Similarity
Amaze your classes with the ability to find side lengths of triangles immediately — they'll all want to know your trick! Learners use the Pythagorean Theorem and special right triangle relationships to find missing side lengths.
EngageNY
Arcs and Chords
You've investigated relationships between chords, radii, and diameters—now it's time for arcs. Learners investigate relationships between arcs and chords. Learners then prove that congruent chords have congruent arcs, congruent arcs have...
Curated OER
Angle Bisectors
In this angle bisector learning exercise, 10th graders solve and complete 23 various types of geometry problems. First, they find the angles listed in the figure shown. Then, students determine the sum of the interior angles of a...
EngageNY
The Volume Formula of a Sphere
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
Illustrative Mathematics
Dilating a Line
High School geometers verify through experimentation certain properties about dilations. This multi-step problem challenges them to construct examples of dilations to verify specific facts, the final step provides an opportunity to more...
West Contra Costa Unified School District
Law of Sines
Laws are meant to be broken, right? Learners derive the Law of Sines by dropping a perpendicular from one vertex to its opposite side. Using the Law of Sines, mathematicians solve for various parts of triangles.
Flipped Math
Addition Postulate
Add a little algebra to the geometry. Class members learn about the Addition Postulate for segments and angles. The pupils use their knowledge of solving equations to find lengths of segments and measures of angles. Individuals apply...
Illustrative Mathematics
Reflections and Isosceles Triangles
Geometers explore symmetries of isosceles triangles by using rigid transformations of the plane. They complete four tasks, including congruence proofs, which illustrate the relationship between congruence and rigid transformations. The...
Illustrative Mathematics
Tangent to a Circle From a Point
Learners see application of construction techniques in a short but sophisticated problem. Combining the properties of inscribed triangles with tangent lines and radii makes a nice bridge between units, a way of using...
Illustrative Mathematics
Global Positioning System II
Intricate details of a modern technology that many of us take for granted in our phones, computers (and some cars) are laid bare in a short but deeply investigative activity. The math behind a seemingly simple GPS device...
Curated OER
Easy Worksheet: Counterexamples
In this counterexamples learning exercise, students solve 10 short answer problems. Students prove the given statements false by providing a counterexample thus disproving the statement.
Curated OER
If-Then Statements and Postulates
In this if-then statements and postulates worksheet, 10th graders solve 16 various types of geometry problems that include identifying the hypothesis and conclusions of each conditional statement. Then, they write each conditional...
Curated OER
If-Then Statements and Postulates
In this if-then statements and postulates learning exercise, 10th graders solve 6 different problems related to if-then statements and postulates in geometry. First, they identify the hypothesis and conclusion of each conditional...
Curated OER
Identify the Shape
10 this geometry worksheet, learners identify the different angles created by polygons and name the shape created based on the number of sides. There is an answer key.
Curated OER
Perpendicular Bisector
In this perpendicular bisector activity, students fold paper, according to instructions, to discover the perpendicular bisector of a segment. They explore the distances from the bisector to the endpoints of a specified...
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