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CW#48: Classify Triangles / Find Missing Sides & Angles Geometry Name: ____________________________ TP: ____ CRS Objective Geometry Content 6.4 Identify and explain characteristics of different types of triangles 6.5 Use exterior angle theorem to find a missing angle **CHECK FOR UNDERSTANDING WHITEBOARD ACTIVITY!!** 1) Classify the triangle by its sides. 2) Classify the triangle by its angles. STAY READY. Example 1: Classify RST by its sides. Then determine if it is a right triangle. 3) Graph the given triangle and classify it by its sides. Then determine if it is a right triangle. a) A(3, l), B(3,4), C(7, 1) Step 1: Use the _______________________________ to determine the side lengths. RS = ST = TR = Step 2: Use the _______________________________ to check for right angles. Step 2: Use the _______________________________ to check for right angles. RS = ST = TR = 4) Graph the given triangle and classify it by its sides. Then determine if it is a right triangle. A(2, 2), B(6, 2), C(4, 8) STAY READY. Discovering Exterior Angle Theorem… 5) Find the value of y. 6) Find the value of x. Step 1: Add the interior angles: Step 2: Subtract the interior angles from 180 degrees to find the third angle of the triangle (triangle sum theorem). Label the angle in the triangle: Step 3: Subtract Step 2 from 180 degrees to find y (supplementary angles). Label the angle in the triangle: Step 1: Add the interior angles: Step 2: Subtract the interior angles from 180 degrees to find the third angle of the triangle (triangle sum theorem). Label the angle above. Step 3: Subtract Step 2 from 180 degrees to find y (supplementary angles). Label the angle above. 7) What observations can you make about Step 1 and Step 3? Explain what the exterior angle theorem is in your own words. The ______________________________________________ theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent angles. STAY READY. Directions: For the problems that follow, a) Create a bulleted list of the angle properties/theorems/postulates you used to determine the missing angles, and b) Find the missing angle. 8) 9) Example 3: Find the measure of the exterior angle shown. 10) Find the measure of the exterior angle shown. Independent Practice Complete in your notebooks: Pages 211 – 212; #1 – 6, 11 – 13, 17 – 19, 32 – 37 STAY READY.