Postulates Teacher Resources

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In this Euclid's Postulates worksheet, students examine the five postulates and then answer thirteen fill-in, matching, and problem solving problems.  The solutions are provided.
How can we identify shapes in the Universe? High schoolers will compare and contrast elliptic and hyperbolic geometry. They will also explore one possible way to measure the curvature of the Universe, namely, by measuring the sum of the angles in a triangle. Resource links are included.
Ninth graders discuss the concept of hyperbolic geometry. They complete Internet geometry activities and write essays comparing and contrasting hyperbolic geometry to Euclidean geometry.
For this math worksheet, high schoolers consider Euclid's postulates , which form some of the basic tenants of geometry. This thorough worksheet has eight problems for the students to solve and includes an answer sheet.
For this angles, lines and figures review worksheet, 10th graders solve and complete 33 standardized multiple choice problems. First, they use the Segment Addition Postulate to solve for a variable given an equation for each line. Then, students use the Law of Syllogism and the given statements to write a conditional statement. In addition, they determine the postulate or theorem that can best prove the given statements.
Students investigate spherical geometry using a globe and an apple. In this spherical geometry lesson plan, students translate Euclidean geometry terms to spherical geometry terms using a globe. They answer 3 questions about spherical geometry and use an apple to represent the globe and they cut spherical 'triangles', they score the 'equator' and they cut circles through the 'poles' of the apple better understand the concepts of spherical geometry.
Students discover three lettered postulates that prove triangles congruent.
This unit on connecting algebra and geometry covers a number of topics including worksheets on the distance formula, finding the perimeter and area of polynomials, the slope formula, parallel and perpendicular lines, parallelograms, classifying triangles, exterior angle theorem, circles, inductive and deductive reasoning, and conditional statements.  
Students explore the concept of similarity and congruence. In this similarity and congruence lesson, students identify and verify whether or not two figures are similar, congruent, or neither. Students use postulates and theorems such as SSS or SAS to prove congruency and similarity.
Students create an interactive diagram that supports the Segment Addition Postulate. They draw segment AB with point C and between points A and B. Finally, students find the lengths of and label AC, CB, and AB calculating the length of AC + CB.
In this angles worksheet, students use the angle addition postulate, the idea of adjacent angles and the diagrams shown to answer eleven questions
In this geometry review worksheet, students complete 23 problems involving area of circles, and triangles, interior and exterior angles, similar triangles, and equations of circles. Students then make 3 sketches and line constructions.
Help your middle and high schoolers explore geometric terminology. In this geometry lesson, learners use the entire year to create an ABC Geometry book. Students use a list of terms learned in class to create a page for each letter. Students use a rubric to guide their process. 
Having a good working knowledge of math vocabulary is especially important for geometry learners. Here are 119 pages worth of wonderfully constructed definitions, constructions, formulas, properties, theorems, and postulates. This is a fantastic geometry resource that you can use throughout the school year.
  • Display cards and change them out as you progress through different topics
  • Use the cards as review throughout the year to remind students of past learning
  • Laminate the cards and allow students to sort them into topics they definitely understand, somewhat understand, and don't yet understand
Students solve problems of triangles using congruent triangle theorems. For this geometry lesson, students find angles and sides of missing triangles.
Tenth graders investigate the early history of geometry. In this geometry lesson, 10th graders investigate translations, rotations, and reflections. They also solve problems with line of symmetry and rotational symmetry while reviewing important symmetry theorem.
In this geometry activity, 10th graders from the inverse, converse, and contrapositive of a given statement and tell whether a given statement is true or false. The one page activity contains eighteen questions.  Answers are not included. 
Students differentiate between congruent and similar triangles. For this geometry lesson, students identify the lengths and angle measures of triangles. They use postulates to prove their answers.
Given two overlapping triangles with a congruent angle, a common angle, and a congruent side, a simple proof is shown in this video. Using the ASA (angle-side-angle) postulate, the instructor shows how the two triangles are congruent.
In this geometry spiral review activity, students answer 16 questions that spiral review topics including parallel lines, postulates, simplifying and solving, and conditional statements. Students also complete 2 proofs.

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Postulates