Always, Sometimes, or Never Solve for X Theorems, Definitions Or Postulates One Step Proofs Hardtke Jeopardy Template 2011 Click here for game DIRECTIONS

A triangle with side lengths of 5, 6 and 8 is obtuse. Click to check answer A (Since < 8 2 ) Click to return to game board 10 Always, Sometimes, or Never

If two sides of a right triangle have lengths of 3 cm and 4 cm, then the third side has a length of 5 cm. Click to check answer 20 Always, Sometimes, or Never

If a right triangle contains a 30 o angle, then one leg has a length ½ that of the hypotenuse. Click to check answer 30 Always, Sometimes, or Never

The sine of an acute angle is equal to the cosine of its complement. Click to check answer 40 Always, Sometimes, or Never

50 Always, Sometimes, or Never

Click to check answer 10 Solve for x 5 x 3 4

Click to check answer 20 Solve for x 15 x x 30 o

Click to check answer 30 Solve for x

40 Solve for x

x is the exact value of tan 60 o Click to check answer 50 Solve for x 60 o

SOHCAHTOA stands for … Click to check answer 10 Theorems, Definitions Or Postulates

Complete the theorem: In a triangle with hypotenuse of length 2x, then the two legs have lengths of … Click to check answer 20 Theorems, Definitions Or Postulates

Complete the theorem: Given an altitude drawn to the hypotenuse, then either leg of a right triangle is the geometric mean of … Click to check answer the entire hypotenuse and the adjacent segment of the hypotenuse Click to return to game board 30 Theorems, Definitions Or Postulates

Write three parts of the Converse of the Pythagorean Theorem. (used to classify triangles) Click to check answer If a 2 + b 2 = c 2, then the ∆ is right. If a 2 + b 2 < c 2, then the ∆ is obtuse. If a 2 + b 2 > c 2, then the ∆ is acute. Click to return to game board 40 Theorems, Definitions Or Postulates

The tangent of an acute angle is the _?_ of the tangent of its complement. Click to check answer Reciprocal (since the leg adjacent to one acute angle is opposite from the other acute angle) Click to return to game board 50 Theorems, Definitions Or Postulates

Pythagorean Theorem Click to return to game board 10 One Step Proofs R Q P

Given: PR 2 + RQ 2 > PQ 2 Prove: ∆PQR is acute Click to check answer Converse of Pythagorean Theorem or if a 2 + b 2 > c 2, then the ∆ is acute Click to return to game board 20 One Step Proofs R Q P

30 One Step Proofs R Q P

Altitude to the Hypotenuse Theorem or “The altitude to the hypotenuse is the geometric mean of the two segments on the hypotenuse.” Click to return to game board 40 One Step Proofs Q R P S

50 One Step Proofs R Q P

Jeopardy Directions Any one student may select the first question and students rotate choosing the next question in clockwise order regardless of points scored. As a question is exposed, EACH student in the group MUST write his solution on paper. (No verbal responses accepted.) The first student to finish sets down his pencil and announces 15 seconds for others to finish working. After the 15 seconds has elapsed, check the answer. – IF the first student to finish has the correct answer, he earns the point value of the question and no other students earn points. – IF that student has the wrong answer, he subtracts the point value from his score and EACH of the other students with the correct answer earns/steals the point value of the question. (Those students do NOT lose points if incorrect, only the first student to “ring in” can lose points in this game version.) Each student should record a running total of his own score. Good sportsmanship and friendly assistance in explaining solutions is expected! Reviewing geometry is more important than winning. Return to main game board