2. Defining Success How Many Triangles?

3. In this lesson we will: M.7.G.2 – Draw (freehand, with a ruler and protractor, or with technology) geometric shapes given conditions – Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle

4. Since triangles are strong and will not bend, architects use triangles when building bridges for strength.

5. By the end of this lesson, you will be able to determine if three side lengths of a triangle will create an actual triangle using the Triangle Inequality Theorem. The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side. If the first side is 3 inches, the second side is 4 inches and the third side is 5 inches, you will be able to justify this IS a triangle because: 3 + 4 > 5 5 + 4 > 3 5 + 3 > 4

6. By the end of this lesson, you will be able to determine if a triangle exists when given three segments, three angles, or a combination of segments and angles.

7. Let’s Get Started! You will soon be able to determine if a triangle exists when given three segments, three angles, or a combination of segments and angles.