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Unit 4: Congruent Triangles Unit 6: Ratio, Proportion, & Similarity
Jeopardy Math Review Unit 4: Congruent Triangles Unit 5: Quadrilaterals Unit 6: Ratio, Proportion, & Similarity Unit 7: Right Triangles Trigonometry 100 200 300 400 500 Final Jeopardy
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Congruent Triangles for 100
Name all postulates that can be used to prove triangles are congruent. ASA, SAS, SSS, HL, AAS Category
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Congruent Triangles for 200
____________________ extend from a vertex of a triangle and are perpendicular to the opposite side. ____________________ extend from a vertex of a triangle to the midpoint of the opposite side. There are three interior altitudes in a/an ____________________ triangle. In a/an ____________________ triangle, one altitude is interior and the other two are the sides of the triangle. There is one interior altitude and two exterior altitudes in a/an _______________ triangle. A __________________________ is both a median and an altitude. The ____________________ of a right triangle is always the longest side. Altitudes Medians acute right obtuse perpendicular bisector hypotenuse Category
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Congruent Triangles for 300
Find the value of x that will make the triangles congruent. x = 10
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Congruent Triangles for 400
Find the value of x. x = 8
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Congruent Triangles for 500
Given angle 1 = 35º, find measure of angle 5. angle 5 = 105º
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State the five ways we can prove a quadrilateral is a parallelogram.
Quadrilaterals for 100 State the five ways we can prove a quadrilateral is a parallelogram. Both pairs of opposite sides congruent. Both pairs of opposite sides are parallel. Both pairs of opposite angles congruent. One pair of opposite sides are congruent and parallel. Diagonals bisect each other
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Find the values of x, y, and z.
Quadrilaterals for 200 Find the values of x, y, and z. x = 7, y = 5, z = 70º
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Given AC = 5x – 14 and CD = 3. Find x.
Quadrilaterals for 300 Given AC = 5x – 14 and CD = 3. Find x. x = 4
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Quadrilaterals for 400 1. What is the name of this figure?
2. Starting at the top and going clockwise, fill in the blanks with the correct terms. Trapezoid. leg base base The legs would have to be congruent. 3. What would have to be true for this figure to be isosceles?
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Quadrilaterals for 500 Find the values of x and y. x = 2, y = 5
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Similarity for 100 Two polygons are similar if … 1) 2) Corresponding angles are congruent. Corresponding sides are in proportion.
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Similarity for 200 Identify the scale factor between the two figures and find the values of x, y, and z. Scale Factor = 3 : 2 x = 14, y = 12, z = 15
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Similarity for 300 Use the figure to fill in the table with missing side lengths. KR RT KT KS SU KU 12 9 16 8 10 2
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Similarity for 400 Determine whether the triangles are similar or not. If they are, identify the postulate that justifies this conclusion. Yes - SAS Yes - AA Yes SAS
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Similarity for 500 Find the value of x. x = 18/5
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Right Triangles for 100 Simplify the following radical expressions.
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Right Triangles for 200 Find the values of s, r, and t. s = 3root15 (11.62) r = 3root10 (9.49) t = 3root6 (7.34)
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Right Triangles for 300 Find the values of x. x = 2root13 (7.21) x = root39 (6.24)
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Right Triangles for 400 Determine if the triangle with the given side lengths is acute, right, obtuse, or does not exist. 4, 7, , 10, 11 12, 16, , 9, 12 23, 34, , 4, 8 7, 7, , 5, 6 DNE Obtuse Right Obtuse Obtuse DNE Acute Acute
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Right Triangles for 500 Calculate the values of x and y. x = x = 6root3 y = 5root2 y = 12
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Trigonometry for 100 Evaluate the sin, cos, and tan of θ sinθ = 1/2 cosθ = root3/2 tanθ = root3/3
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Trigonometry for 200 Evaluate the sin, cos, and tan of θ sinθ = 4/5 cosθ = 3/5 tanθ = 4/3
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Trigonometry for 300 Find the values of x and y. (You will need a calculator) Round answers to the nearest hundredth. x = y = 22.12
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Trigonometry for 400 Find the values of x and y. (You will need a calculator) Round answers to the nearest hundredth. x = 2.07 y = 7.73
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Trigonometry for 500 Find the values of x. (You will need a calculator) Round answers to the nearest whole number. x = 84º x = 48º
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Please write down your wager on your paper.
Final Jeopardy CIRCLES Please write down your wager on your paper.
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Final Jeopardy Identify the type of angle for each: COD is a(n) angle.
AFG is a(n) angle. AOC is a(n) angle. AFD is a(n) angle. FAD is a(n) angle. ABC is a(n) angle. ADF is a(n) angle. central interior inscribed exterior In order to receive credit ALL answers must be correct.
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