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.
Help your middle and high schoolers explore geometric terminology. In this geometry instructional activity, learners use the entire year to create an ABC Geometry book. Young scholars use a list of terms learned in class to create a page for each letter. Students use a rubric to guide their process. 
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.
Tenth graders investigate the early history of geometry. In this geometry instructional activity, 10th graders investigate translations, rotations, and reflections. They also solve problems with line of symmetry and rotational symmetry while reviewing important symmetry theorem.
For this geometry worksheet, 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 worksheet contains eighteen questions.  Answers are not 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.
Students investigate the sphere and the postulate of Euclid. In this geometry lesson, students differentiate between euclidean geometry and non-euclidean geometry.
In this math worksheet, students 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.
In 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.
In this geometry worksheet, students solve for missing midpoints, segments and angles using algebraic equations. They use geometric properties to solve these equations. There are 32 questions on 7 different worksheets.
Students solve problems of dilation and velocity. In this geometry lesson, students apply the Pythagorean Theorem to solve problems and relate it to time and velocity.
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.
Tenth graders solve problems using the correct tools. In this geometry instructional activity, 10th graders solve problems by constructions and graphing. They use a protractor, compass and straight edge to help create angles and bisectors. The identify the median, altitude and angle bisector of a triangle.  
Students identify the point of intersection of two lines. In this geometry lesson, students identify the pair of coordinates on a coordinate plane where two lines cross. They identify the lines as parallel or perpendicular.
For this systems of geometry worksheet, 10th graders solve and complete 9 various types of problems. First, they write and solve an equation to find the value of each variable. Then, students write the steps of the solution on the blanks provided. They also complete each proof.
Students discuss the importance of examining crystals and experiment growing them. In groups, they complete a project in which they use groups in geometry just like crystallographers. They practice solving the groups and proofs and share their results with the class to end the lesson.
Learners discover three lettered postulates that prove triangles congruent.
Students identify the pattern in a problem. In this geometry lesson, students make predictions, collect and analyze data. They apply the idea of scales and measurements to the real world.
Examine the concept of angles and segments with high schoolers. They will determine the measures of right, acute, and obtuse angles and then find the length of a segment given an algebraic expression. Finally, they will add angles on their Ti-Nspire according to the angle addition postulate. Worksheets are included.
High schoolers explore the concept of congruent triangles.  In this congruent triangles instructional activity, students use Cabri Jr. to construct two congruent triangles using circles.  High schoolers determine if the two triangles are congruent by using the SSS, SAS, and ASA postulates.

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Postulates