Checking for Identical Triangles
Video solutions to help Grade 7 students learn how to use conditions that determine a unique triangle to determine when two triangles are identical.
Plans and Worksheets for Grade 7
Plans and Worksheets for all Grades
Lessons for Grade 7
Common Core For Grade 7
New York State Common Core Math Grade 7, Module 6, Lesson 13
Lesson 13 Student Outcomes
• Students use conditions that determine a unique triangle to determine when two triangles are identical.
• Students construct viable arguments to explain why the given information can or cannot give a triangle
correspondence between identical triangles.
Lesson 13 Summary
• The measurement and arrangement (and correspondence) of the parts in each triangle plays a role in
determining whether two triangles are identical.
Lesson 13 Classwork
a. List all the conditions that determine unique triangles:
b. How are the terms identical and unique related?
In each of the following problems, two triangles are given. State whether the triangles are identical, not identical, or not
necessarily identical. If possible, give the triangle conditions that explain why the triangles are identical, and write a
triangle correspondence that matches the sides and angles. If the triangles are not identical, explain why. If it is not
possible to definitively determine whether the triangles are identical, write “the triangles are not necessarily identical,”
and explain your reasoning.
In Example 2 and Exercises 4–6, three pieces of information are given for △ABC and △XYZ. Draw, freehand, the two
triangles (do not worry about scale), and mark the given information. If the triangles are identical, give a triangle
correspondence that matches equal angles and equal sides. Explain your reasoning.
Exercises 4 - 6.
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