Similar figures similar figures can be thought of as enlargements or reductions with no irregular distortions. The activity that follows example 1 allows you to explore. Similar triangles y 32 b0l1q0s bkru ot4aa 8ssocfitlw ua wrse e wlbl4c a. So two figures are similar if one can be enlarged or reduced so that it is congruent means the figures have the same dimensions and shape, symbol to the original. We mentioned 4 shortcuts to prove two triangles congruent in session 1. Create your own worksheets like this one with infinite geometry.
The chart below shows an example of each type of triangle when it is classified by its sides and. The student, given information in the form of a figure or statement, will prove two triangles are similar, using algebraic and coordinate methods as well as deductive proofs. Proportions and similar figures muncy school district. After completing the activity, students should be able to i recognize the properties of similar triangles, ii understand the conditions for two triangles to be similar. Includes sort card activity, lesson plan and supporting powerpoint. Plan your 60minute lesson in math or geometry with helpful tips from stephanie conklin. Create free printable worksheets pdf or html for classifying triangles by their sides, angles, or both. In this lesson, you will continue the study of similar polygons by looking at properties of similar triangles. If so, state how you know they are similar and complete the similarity statement. Similar triangles page 1 state and prove the following corollary to the converse to the alternate interior angles theorem. Shadow activity similar triangles and trigonometry geometry outdoor activity common core aligned activity or lab project activity description. If so, state how you know they are similar and complete the. This activity is very similar to the congruent triangle cut and match activity that i used earlier this year.
This is a student led activity or project where students have an opportunity to apply similar triangles and trigonometry concepts in a real world situat. I have giant sheets of paper presentation pad paper that i like to do these types of activities with. You can control the number of problems, workspace, border around the. This lesson is intended to be used as a way to introduce these concepts with the idea that formal postulates for proving triangle similarity will be.
Gcse similar triangles geometry activity teaching resources. Worksheets for classifying triangles by sides, angles, or both. Students should be able to apply the results of all theorems, converses and corollaries to solve problems. Theorem converse to the corresponding angles theorem. Similar triangles state if the triangles in each pair are similar. Triangles scalene isosceles equilateral use both the angle and side names when classifying a triangle. I put my students in groups of three and gave each group a sheet of giant paper. Completing a handson activity, students will cut, categorize and discover properties of similar triangles.
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