Geometry OTQ Name each part of the right triangle and isosceles triangle. leg hypotenuse _____ leg _ _ leg _ base _____.

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Presentation transcript:

Geometry OTQ Name each part of the right triangle and isosceles triangle. leg hypotenuse _________ leg _________ _________ leg _________ base _________ leg _________

Homework Questions?

What standard will I learn? What will I be able to do? Apply the Triangle Angle-Sum Theorem and Exterior Angle Theorem What standard will I learn? 12.0 Students find/use measures of sides/angles of triangles

4.2 Triangles and Angles

HEY….THERE IS SOME WEIRD ABOUT THE ANGLES OF A TRIANGLE 2 1 3 m<1 + m<2 + m<3 = 180°

m<A + m<B + m<C = 180° Triangle Sum Theorem The sum of the measures of the interior s of a ∆ is 180o. A B C m<A + m<B + m<C = 180°

Ex 1 Solve for x. 90+ 36 + x = 180 126 + x = 180 x = 54 36 x

Example 2: One of the acute angles in a right triangle measures 4x° and the other is 6x°. Find the value of x? 4x 6x 4x + 6x + 90= 180 10x + 90 = 180 10x=90 x=9

Interior VS Exterior An interior angle is formed by two sides of a triangle. An exterior angle is formed by one side of the triangle and extension of an adjacent side. 4 is an exterior angle. Exterior Interior <1, <2, and 3 are interior angle.

Exterior Angle Theorem The measure of an exterior  of a ∆ is equal to the sum of the measures of the 2 non-adjacent interior s. A m1 = mA + mB 1 B C

Example 3: Ext.  Thrm. Find mB. mA + mB = mBCD 15 + 2x + 3 = 5x – 60 2x + 18 = 5x – 60 78 = 3x mB = 2x + 3 = 2(26) + 3 = 55° 26 = x

Homework is on the next slide CLASSWORK Pages 250 – 253 #’s 10, 12, 22, 24, 26, 28, 30, 36, 46 Homework is on the next slide

Do your HOMEWORK or zombies will be sent to your HOUSE!!! Page 254 #’s 56, 60, 64, 66 Do your HOMEWORK or zombies will be sent to your HOUSE!!!