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Daily Warm-Up Quiz #2 CONJECTURES: Complete each conjecture below. (2 TOTAL POINTS; ½ POINT EACH) 1. If two angles are a linear pair of angles, then the.

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Presentation on theme: "Daily Warm-Up Quiz #2 CONJECTURES: Complete each conjecture below. (2 TOTAL POINTS; ½ POINT EACH) 1. If two angles are a linear pair of angles, then the."— Presentation transcript:

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2 Daily Warm-Up Quiz #2 CONJECTURES: Complete each conjecture below. (2 TOTAL POINTS; ½ POINT EACH) 1. If two angles are a linear pair of angles, then the angles are _____________________ (____). LINEAR PAIR CONJECTURE (LINEAR PAIR CONJECTURE) 2. If two angles are vertical angles, then the angles are ________________________________. VERTICAL ANGLES CONJECTURE (VERTICAL ANGLES CONJECTURE) 3. If two angles are both equal in measure and supplementary, then each angle measures _____. EQUAL SUPPLEMENTS CONJECTURE (EQUAL SUPPLEMENTS CONJECTURE) TRIANGLE SUM CONJECTURE 4. The sum of the measures of the interior angles of any triangle is ________________________. (TRIANGLE SUM CONJECTURE)

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4 BASIC ALGEBRA REVIEW BASIC ALGEBRA REVIEW

5 Define the following before translating the following sentences to mathematical equations in 6-7 below (1 POINT; ALL OR NONE)

6 Algebra Connection: Vertical Angles & Linear Pairs

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8 Use the angle relationships in the diagrams below to solve for the given variable in each diagram below. Show ALL work!

9 Applications

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13 More Applications

14 Triangle Inequalities Determine whether it is possible to draw a triangle with sides of the given measures. If possible, write yes. If not possible, write no. Be prepared to explain your reasoning. 1.) 3cm, 4 cm, 5cm 2.) 4 m, 5m, 9m In problems 3, the letter on each side of the ∆s indicates the size of that side. In problems 4, the letter indicates the size of the angle. Rank order the letters from large to small. NOTE: You may need to use ∆ Sum to determine missing angle measures in some triangles 3. 4.

15 Triangle Inequalities Two side lengths of a triangle are given. Write an inequality to show the range of values for x, the length of the third side. 4 in., 7in

16 Isosceles Triangles Practice Draw an isosceles triangle where one angle measures 58 degrees, and another angle measures 61 degrees. Fill in the measurements of all three angles and indicate which sides are congruent.

17 Applications: Isosceles Triangles Practice

18 Isosceles Triangles Practice Using Algebra

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