Congruent Triangles Proofs with CPCTC Lesson Materials (Guided Notes, CW, HW):
These 6 student worksheets will help your students learn how to prove that triangles are congruent and that corresponding parts of congruent triangles are congruent (CPCTC). The majority of the proofs in these assignments involve proving that “base angles of isosceles triangles are congruent” and proving that “points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.” These lesson materials include a 2-page set of guided notes, a 2-page classwork assignment, and a 2-page homework assignment, for a total of 6 student worksheets!
The guided notes include a vocabulary section, an example of how to prove that 2 triangles are congruent (without CPCTC), an example of how to prove that “base angles of isosceles triangles are congruent” (with CPCTC), and an example of how to prove that “points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints” (with CPCTC).
The classwork assignment includes proofs where students have to fill in only the reasons, proofs where students have to fill in a mixture of statements and reasons, and proofs where students have to fill in the entire proof. The classwork assignment has 6 proofs. Most of the proofs are 6 or 7 steps.
The homework assignment includes the same types of proofs as the classwork assignment. There are 6 proofs on the homework assignment, and the proofs range from 4 to 7 steps.
The “Reasons” used in these proofs are: Reflexive Property of Congruence, All right angles are congruent; Definition of Segment Bisector; Definition of Angle Bisector; AAS; ASA; SAS; CPCTC; Vertical angles are congruent; Definition of Perpendicular Lines; Each angle has one unique bisector; and If parallel lines are cut by a transversal, then alternate interior angles are congruent.
This set of lesson materials comes with 2 pages of guided notes and 4 pages of proofs practice (1 classwork assignment and 1 homework assignment), answer keys, and a PowerPoint file containing pictures of the worksheets and keys. The worksheets in the PowerPoint are NOT editable. When you purchase this set of lesson materials, you will receive a pdf containing the guided notes, worksheets, and answer keys, and you will receive a PowerPoint file. Before purchasing this product, please review the preview file closely to make sure that these proofs are appropriate for your students.
Please Note: The classwork and homework worksheets included in this product are the exact same worksheets as the ones sold in my "practice worksheets" product. The difference between the two products is that the "lesson materials" come with guided notes. Choose to purchase either the "lesson materials" or the "practice worksheets," but do not purchase both.
This product is intended for use by one teacher. Do not share this resource with other teachers in your school building, district, etc. Do not post this resource or any part of this resource on the internet, on school websites or on network drives. The appropriate number of licenses should be purchased if you wish to use this resource for multiple teachers in a school, district, or organization. Do not share, transmit, or reproduce any part of this resource without the permission of the author. Thank You!
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