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+ Angles and Geometry 9.10.15 + Do Now Define the following: Acute angle Straight angle Right angle Obtuse angle Ray Line Line segment + How do you prove you are right? + Proving You Are Right We write an explanation of our thinking or thought process An explanation should: Answer the question Use key terms Show what you know with strong and relevant statements- “I know this because” “I think this because” + What type of angle do you think this is? Provide an explanation of your thinking. I think this type of angle is an acute angle. I think this type of angle is an acute angle because it measure 45 degrees and to be an acute angle the angle must measure less than 90 degrees. + What type of angle do you think this is? Provide an explanation of your thinking. I think this type of angle is an acute angle. I think this type of angle is an acute angle because it measure 72 degrees and to be an acute angle the angle must measure less than 90 degrees. + You try! What type of angle do you think this is? Provide an explanation of your thinking. + What type of angle do you think this is? Provide an explanation of your thinking. I think this type of angle is a right angle. I think this type of angle is a right angle because it measure 90 degrees and to be a right angle the angle must measure exactly 90 degrees. + What type of angle do you think this is? Provide an explanation of your thinking. I think this type of angle is an obtuse angle. I think this type of angle is an obtuse angle because it measures 120 degrees which is more than 90 degrees and less than 180 degrees and to be an obtuse angle the angle must measure more than 90 degrees and less than 180 degrees. + What type of angle do you think this is? Provide an explanation of your thinking. I think this type of angle is an obtuse angle. I think this type of angle is an obtuse angle because it measures 135 degrees which is more than 90 degrees and less than 180 degrees and to be an obtuse angle the angle must measure more than 90 degrees and less than 180 degrees. + What type of angle do you think this is? Provide an explanation of your thinking. + Practice Say what type of angle it is and provide an explanation to support your thinking! + Joe thinks the following angles are complementary? Is Joe correct or incorrect? How do you know? Joe is correct. I know Joe is correct because in order to be complementary angles the angles must be next to each other, which they are, and have a sum of 90 degree. Since 58+32=90 degrees, I know the two angles are complementary. + Joe thinks the following angles are supplementary ? Is Joe correct or incorrect? How do you know? Joe is correct. I know Joe is correct because in order to be supplementary angles the angles must be next to each other, which they are, and have a sum of 180 degrees. Since 139+41=180 degrees, I know the two angles are supplementary. + Joe thinks the following angles are complementary? Is Joe correct or incorrect? How do you know? Joe is incorrect. I know Joe is incorrect because in order to be complementary angles the angles must be next to each other, and have a sum of 90 degree. Even though these two angles are next to each other, their sum does not equal 90 degrees. Since 120+60=180 degrees, I know the two angles are supplementary and not complementary. Also the two angles make a straight line which also tells me they are supplementary. + Joe thinks the following angles are supplementary? Is Joe correct or incorrect? How do you know? Joe is incorrect. I know Joe is incorrect because in order to be supplementary angles the angles must be next to each other, and have a sum of 180 degree. Even though these two angles are next to each other, their sum does not equal 180 degrees. Since 25+65=90, I know the two angles are complementary and not supplementary. Also, the two angles form a right angles which also tells me the angles are complementary. + Joe thinks the following angles are complementary? Is Joe correct or incorrect? How do you know? + Joe thinks the following angles are supplementary ? Is Joe correct or incorrect? How do you know? + Joe thinks the following angles are complementary? Is Joe correct or incorrect? How do you know? + Joe thinks the following angles are supplementary? Is Joe correct or incorrect? How do you know? + Practice What type of angle is below, how do you know?