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“The surest way not to fail is to determine to succeed”. --Richard Brinsley Sheridan Do Now. Take out a protractor and your compass. *If you don’t have a compass, see if you can borrow from someone in another class. You will not be able to share during the test.
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“The surest way not to fail is to determine to succeed”. --Richard Brinsley SheridanDo Now • Take out a protractor and your compass. *If you don’t have a compass, see if you can borrow from someone in another class. You will not be able to share during the test. • Turn in your test corrections from unit 1. (ES bin) • Turn in anything you are missing from unit 2. (ES bin) • Put your notebook in the bin so I can do a notebook check. (your class period bin)
Testing • http://www.youtube.com/watch?v=yPDOgpfKLuo
Problem Solver Challenge • Hidden in each of the sentences are the numbers 1 to 10 in words. For example 'My parents told me to never cross the road without looking.' contains the number 1: 'My parents told me to never cross the road without looking.' • The robins love hiding amongst the smooth reeds. It's always worth looking after your friends, even if they've upset you. Even heavyweight boxers like using soft tissues when they have a cold. To avoid the calf, I veered sharply to the left. The eggs were boxed thirteen instead of a dozen in each baker's delivery box. Having salmon every day for lunch gets a little boring after a while. The attendance at the local football match exceeded last weeks by many thousands. We need to waterproof our boots to make sure we don't get wet. Meeting friends after work allows executives to network effectively. The orchestra sounded magnificent with the three virtuosi xylophonists.
Triangle sum theorem • The sum of the interior angles of any triangle is equal to 180 degrees. • Let’s use it!
Classifying triangles by their angles • Acute • All three angle measures are less than 90o. • Right • One of the angle measures is exactly 90o. • Obtuse • One of the angle measures is greater than 90o
Classifying triangles by their side lengths • Equilateral • All three sides are congruent. • Isosceles • Two of the sides are congruent. • Scalene • No congruent sides.
Classify this triangle • By angles? • Acute • By side lengths? • Equilateral
Classify this triangle • By angles? • Obtuse • By side lengths? • Isosceles
Classify this triangle • By angles? • Right • By side lengths? • Scalene/Isosceles
Classify this triangle • By angles? • Acute • By side lengths? • Scalene
Classify this triangle • By angles? • Acute • By side lengths? • Isosceles
Classify this triangle • By angles? • Right • By side lengths? • Scalene
Classify this triangle • By angles? • Acute • By side lengths? • Equilateral
Classify this triangle • By angles? • Acute • By side lengths? • Isosceles
Classify this triangle • By angles? • Acute • By side lengths? • Isosceles
Equilateral triangles • Equilateral—Congruent sides • Equiangular—Congruent angles • In triangles, equilateral triangles are also equiangular
Today’s objectives • Use the triangle sum theorem and the exterior angle theorem to find the measures of missing angles. • Classify a triangle as equilateral, isosceles, or scalene, and as acute, right or obtuse. • Explain the relationship between an equiangular triangle and an equilateral triangle
Practice 1. Explain the relationship between an equiangular triangle and an equilateral triangle 2. Classify this triangle 3. Classify this triangle 4. Find the measure of angle C.
Problem solver challenge • Four adventurers (Mike, Angela, Lorraine and Teddy) need to cross a river in a small canoe. • The canoe can only carry 100kg. • Mike weighs 90kg, Angela weighs 80kg, Lorraine weighs 60kg and Teddy weighs 40 kg, and they have 20kg of supplies. • How do they get across?