Jeopardy Chapter 9 and Chapter 5 Chapter 3 Chapter 7 10 trig and Chapter11 and 6 and 4 Area and 8 and 12 quadrilaterals and Volume Triangles Congruence Circles 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500 Category 1 100 Find the area of the following figure: 13 in 12 in 20 in Category 1 100 A = 240 2 in Category 1 200 Find the missing side of the following polygon: 21 in 23 in 36 in P = 140 in. x in 28 in Category 1 200 x = 32 in. Category 1 300 Find the Volume 8 cm 12 cm Category 1 300 V = 96π 3 cm 400 Category 1 Find the missing length: A = 126 m2 28 m h 14 m Category 1 400 h=6m Category 1 500 Find the volume of a trapezoidal prism has a height 13 cm with a trapezoidal base with bases measuring 2 cm and 8 cm with a height 5 cm. Category 1 500 V = 325 3 cm Category 2 100 Do the following lengths make a triangle 12 cm, 15 cm, 8 cm Category 2 100 8 cm + 12 cm = 20 cm 20 cm > 15 cm Yes, they can make a triangle. Category 2 200 A hiking trail forms a triangle; the first portion of the trail is 3 mi., the second is 5 miles. What are the possible distance of the third and last section of the trail? Category 2 200 2 mi < x < 8 mi The last section of the hiking trail can be greater than 2 miles or less than 8 miles. Category 2 300 Category 2 300 XW = 4 ft Category 2 400 3 VW x 4 2 TS 4 x 2, Find the lenght of VW. Category 2 400 x = 6 units VW = 13 units Category 2 500 Solve for x: Category 2 500 x = 3.2 cm Category 3 100 Are the following triangles congruent? Category 3 100 Yes, by ASA Category 3 200 What is the transformation? Category 3 200 Rotation o 270 counterclockwise Category 3 300 Are the following triangles congruent? Category 3 300 Yes, by AAS Category 3 400 Conditional Statement: "If a number is divisible by 5 then it is divisible by 10." a. Write is the hypothesis and conclusion of the conditional statement. b. Write the converse of the statement. c. Write the inverse of the statement. d. Write the contrapositive of the statement. Category 3 400 a. Hypothesis: number is divisible by 5 Conclusion: number is divisible by 10 b. Converse: If a number is divisible by 10, then it is divisible by 5. c. Inverse: If a number is not divisible by 5, then it is not divisible by 10. d. Contrapositive: If a number is not divisible by 10, then it is not divisible by 5. Category 3 500 Write a two-column proof for the following: Given: ABC is an isosceles triangle with vertex angle A AD bisects <CAB Prove: CD ≅ DB A B D C Category 3 500 Category 4 100 Name all the quadrilaterals with diagonals that are perpendicular bisectors of each other. Category 4 Rhombus, Square 100 Category 4 200 Find the measure of x. 200 Category 4 X = 12 300 Category 4 In this trapezoid: Find the measure of y. 9 cm 2y - 6 cm 13 cm Category 4 y = 14 cm 300 Category 4 400 The measure of each exterior angle of a regular polygon is 15o. How many sides does the polygon have? Category 4 400 The polygon would have 24 sides. Category 4 500 A pine tree sits in a clearing. It casts a 45 foot shadow on the ground. The angle from the end of the shadow to the top of the tree is 40˚. How tall is the tree? Draw a picture and solve 500 Category 4 x = 45∗tan 40o x 40o 45 ft Category 5 100 Find the measure of x. 100 Category 5 x= o 123.5 Category 5 200 Find the measure of x. 200 Category 5 x= o 102 300 Category 5 Find the length of BC. B A E C 8 mm 12 mm D Category 5 BC = 10 mm 300 Category 5 400 The radius of circle D is 8 cm, find the length of arc AB. Category 5 400 length of AB = 28π/9 cm Category 5 Find the area of the shaded region. 500 Category 5 500 Area of Sector= 176π/9 ft2