This document outlines lesson 14 on identifying identical triangles. It begins with an opening exercise asking students to note differences from the previous lesson's diagrams. It then lists and describes the five conditions for proving triangles are identical: three sides, two sides and an included angle, two angles and an included side, two angles and a non-included side, and two sides and a non-included angle of 90 degrees or greater. The document continues working through examples of applying these conditions and defining key terms like vertical angles.

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Module 6 Lesson 14
Checking for Identical Triangles Homework: None
Do Now
Exit Ticket for Lesson 13

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Opening Exercise
1.) Scan the figures in the next several problems. How are
these diagrams different from the diagrams in Lesson 12?
2.) Does this changes the way you figure out whether a
condition exists that determines whether the triangles are
identical?
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Reflexive property: a shared side of two
triangles is congruent to itself. RN = RN

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1.) Three Sides Condition
2.) Two Sides and an Included Angle Condition
3.) Two Angles and an Included Side Condition
4.) Two Angles and a Non­Included Side Condition
5.) Two Sides and a Non­Included Angle where the Angle is 900 or greater
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1.) Three Sides Condition
2.) Two Sides and an Included Angle Condition
3.) Two Angles and an Included Side Condition
4.) Two Angles and a Non­Included Side Condition
5.) Two Sides and a Non­Included Angle where the Angle is 900 or greater
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1.) Three Sides Condition
2.) Two Sides and an Included Angle Condition
3.) Two Angles and an Included Side Condition
4.) Two Angles and a Non­Included Side Condition
5.) Two Sides and a Non­Included Angle where the Angle is 900 or greater
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1.) Three Sides Condition
2.) Two Sides and an Included Angle Condition
3.) Two Angles and an Included Side Condition
4.) Two Angles and a Non­Included Side Condition
5.) Two Sides and a Non­Included Angle where the Angle is 900 or greater
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Vertical Angles: each of the pairs of opposite
angles made by two intersecting lines.
VERTICAL ANGLES ARE EQUAL!

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1.) Three Sides Condition
2.) Two Sides and an Included Angle Condition
3.) Two Angles and an Included Side Condition
4.) Two Angles and a Non­Included Side Condition
5.) Two Sides and a Non­Included Angle where the Angle is 900 or greater
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1.) Three Sides Condition
2.) Two Sides and an Included Angle Condition
3.) Two Angles and an Included Side Condition
4.) Two Angles and a Non­Included Side Condition
5.) Two Sides and a Non­Included Angle where the Angle is 900 or greater
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1.) Three Sides Condition
2.) Two Sides and an Included Angle Condition
3.) Two Angles and an Included Side Condition
4.) Two Angles and a Non­Included Side Condition
5.) Two Sides and a Non­Included Angle where the Angle is 900 or greater
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1.) Three Sides Condition
2.) Two Sides and an Included Angle Condition
3.) Two Angles and an Included Side Condition
4.) Two Angles and a Non­Included Side Condition
5.) Two Sides and a Non­Included Angle where the Angle is 900 or greater
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1.) Three Sides Condition
2.) Two Sides and an Included Angle Condition
3.) Two Angles and an Included Side Condition
4.) Two Angles and a Non­Included Side Condition
5.) Two Sides and a Non­Included Angle where the Angle is 900 or greater
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1.) Three Sides Condition
2.) Two Sides and an Included Angle Condition
3.) Two Angles and an Included Side Condition
4.) Two Angles and a Non­Included Side Condition
5.) Two Sides and a Non­Included Angle where the Angle is 900 or greater
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1.) Three Sides Condition
2.) Two Sides and an Included Angle Condition
3.) Two Angles and an Included Side Condition
4.) Two Angles and a Non­Included Side Condition
5.) Two Sides and a Non­Included Angle where the Angle is 900 or greater
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