4.1 – Apply Triangle Sum Properties

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Presentation transcript:

4.1 – Apply Triangle Sum Properties A triangle is a polygon with three sides. A triangle with vertices A, B, and C is called “triangle ABC”.

4.1 – Apply Triangle Sum Properties Example 1: Classify Triangle ABC by its sides and by its angles.

4.1 – Apply Triangle Sum Properties Example 2: Draw an obtuse isosceles triangle and an acute scalene triangle.

4.1 – 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.

4.1 – Apply Triangle Sum Properties

4.1 – Apply Triangle Sum Properties Example 3: Find an angle measure. Find m<JKM

4.1 – Apply Triangle Sum Properties Example 4: Find an angle measure. Find m<DEF

4.1 – Apply Triangle Sum Properties A corollary to a theorem is a statement that can be proved easily using the theorem.

4.1 – Apply Triangle Sum Properties 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.