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This lesson teaches students how to classify triangles as acute, right, or obtuse and how to find the measures of their angles. It also covers the concepts of interior and exterior angles and includes examples and practice problems.
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Do Now • Classify the following triangles as acute, right, or obtuse. 3. 2. 1.
Section 4.1 – Apply Triangle Sum Properties Objective: SWBAT classify triangles and find the measures of their angles.
A triangle is a polygon with three sides. A triangle with vertices A, B, and C is called “triangle ABC”.
Apply Triangle Sum Properties When the sides of a polygon are extended, other angles are formed. The original angles are the interior angles. The angles that form linear pairs with the interior angles are the exterior angles.
Example 3: Find an angle measure. Find m<JKM
Example 4: Find an angle measure. Find m<DEF
A corollary to a theorem is a statement that can be proved easily using the theorem.
Example 5: The support for a skateboard ramp shown forms a right triangle. The measure of one acute angle in the triangle is five times the measure of the other. Find the measure of each acute angle.
Classwork/Homework • Complete ALL problems on Triangle Sum and Exterior Angle Theorem Worksheet