1.4 Measure and Classify Angles

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Presentation transcript:

1.4 Measure and Classify Angles Mrs. Vazquez Geometry

G.CO.1 Essential Question: How do you identify whether an angle is acute, right, obtuse, or straight? Objective: Students will be able to name, measure, and classify angles.

parts of an angle

Protractor Postulate The m∡AOB is equal to the absolute value of the difference between the real numbers for OA and OB. m∡AOB = |55o - 180o| m∡AOB = |-125o| m∡AOB = 125o

Classify Angles Right angle (∟). The m ∟= 90o Acute ∡. The m of an acute ∡ < 90o.

Classify Angles Obtuse ∡. The m of an obtuse ∡> 90o. Straight ∡. The m of a straight∡= 180o.

find the measure of an angle & classify the angle m∡APB m∡APC m∡BPC = 60o = 100o = 40o

Angle Addition postulate If B is in the interior of ∡AOC, then the m∡AOC is equal to the sum of m∡AOB and m∡BOC. m∡AOC = m∡AOB + m∡BOC

Apply the angle addition postulate m∡ABC = 110o Find the m∡DBC. m∡ABC = m∡ABD + m∡DBC 110o = (3x + 1) + (4x - 3) 110o = 7x - 2 112o = 7x 16o = x m∡DBC = 4x-3 m∡DBC = 4(16) - 3 = 61o

≅ ∡s Two ∡s are ≅ if they have the same measure. m∡HGI = m∡KJL, therefore ∡HGI ≅ ∡KJL