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____(0-10 pts) Describe the different types of triangles and explain how we use these types to classify triangles into categories. Give at least 5 examples. ____(0-10 pts) Describe the parts of a triangle. Include an explanation about interior and exterior angles, and the Triangle Sum Theorem. Give at least 3 examples of each. ____(0-10 pts) Describe the exterior angle theorem. How can it be used? Give at least 3 examples. ____(0-10 pts) Describe what congruence means for shapes. Include a discussion about Corresponding Parts of Congruent Triangles (CPCT). Give at least 3 examples. ____(0-10 pts) Describe how to prove that two triangles are congruent using the SSS postulate. Give at least 3 examples. ____(0-10 pts) Describe how to prove that two triangles are congruent using the SAS postulate. Give at least 3 examples. ____(0-10 pts) Describe how to prove that two triangles are congruent using the ASA postulate. Give at least 3 examples. ____(0-10 pts) Describe how to prove that two triangles are congruent using the AAS postulate. Give at least 3 examples. Acute triangle: All angles are acute Equitriangle: All angles are congruent acute Right triangle: With 1 right angle Obtuse triangle: with 1 obtuse angle They are classified by that names and by equilateral triangle that has three congruent sides, isosceles that has at least two congruent sides, and scalene that has no congruent sides. Obtuse isosceles Equilateral acute Right scalene Acute isosceles Scalene Obtuse Triangles Triangles have Exterior and interior angles each play important role in triangles. Exterior to compare with other triangles and interior to classify them and to measure them. The Triangle Sum Theorem is that a triangles should always be 180º 60 +60+x=180 180-120 = 60 x=60º 1. x 65-8+54=111 180-111=69 X=69º 90+45=180 180-135=45 x=45º 2. X 3. 60º 60º 90 X 45 65-8 54 Exterior angle theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of its remotes interior angles. It can be used to measure important angles in our future like in a carpenter. triangle congruency Congruent shapes always have in common the same measure of lines and angles. CPCT is an abbreviation to Corresponding Parts of Congruent Triangles, it is used as a justification of a proof SSS SSS means side side side , it is used to compare to angles by having all sides congruent and equal. 1 2 SAS It means side angle side, it is if two sides and an angle of a triangle is congruent to the other two sides and angle then the triangle is congruent ASA ASA stands for angle side angle, it is when two angles and a side is congruent to the other triangles same angles and side then the triangles are congruent AAS AAS stands for angle angle side, if two angles and a nonincluded side of a triangle is congruent to another triangle’s nonicluded side and two angles then the two triangles are congruent.