Pythagorean Theorem Converse Jeopardy Review Find the Missing Leg / Hypotenuse Pythagorean Theorem Converse Distance Between 2 Points Everybody’s Favorite  Similar Triangles Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Q $500 Final Jeopardy

$100 Question from Find the Missing Leg / Hypotenuse Correctly draw and label the sides of a right triangle.

$100 Answer from Find the Missing Leg / Hypotenuse c a b

$200 Question from Find the Missing Leg / Hypotenuse Solve for the missing side of a right triangle. Round to the nearest hundredth. a = 10 b = 10

$200 Answer from Find the Missing Leg / Hypotenuse Square root of 200 C = 14.14

$300 Question from Find the Missing Leg / Hypotenuse Solve for the missing side of a right triangle. Round to the nearest hundredth. a = 5 c = 7

$300 Answer from Find the Missing Leg / Hypotenuse Square root of 24 b = 4.90

$400 Question from Find the Missing Leg / Hypotenuse Solve for the missing side of a right triangle. Round to the nearest tenth. 45 94

$400 Answer from Find the Missing Leg / Hypotenuse 2025 + 8836 = 10,861 Square root of 10,861 C = 104.2

$500 Question from Find the Missing Leg / Hypotenuse Solve for the missing side of a right triangle.     b

$500 Answer from Find the Missing Leg / Hypotenuse .5625 + b2 = 17.361 b2 = 16.79861 b = 4.10

$100 Question from Pythagorean Theorem Converse Can sides 3, 5, and 4 be the sides of a right triangle?

$100 Answer from Pythagorean Theorem Converse Yes! They’re the most famous Pythagorean Triple!

$200 Question from Pythagorean Theorem Converse Can sides 4, 6, 8 be the sides of a right triangle?

$200 Answer from Pythagorean Theorem Converse  

$300 Question from Pythagorean Theorem Converse Do the following sides make a right triangle? 15 12 9

$300 Answer from Pythagorean Theorem Converse 81 + 144 = 225 225 = 225 Yes, it’s a right triangle!

$400 Question from Pythagorean Theorem Converse Do the following sides make a right triangle? 15 inches, 36 inches, 39 inches

$400 Answer from Pythagorean Theorem Converse Yes! 1521 = 1521

$500 Question from Pythagorean Theorem Converse Do the following sides make a right triangle? 61, 12, 60

$500 Answer from Pythagorean Theorem Converse No, they do not make a right triangle. 3,744 is not equal to 3,721

$100 Question from Distance Between 2 Points Fill in the Blank: To find the distance between 2 points on a coordinate plane we can use the _________________.

$100 Answer from Distance Between 2 Points Pythagorean Theorem

$200 Question from Distance Between 2 Points Find the distance between the 2 points. Round to the nearest hundredth.

$200 Answer from Distance Between 2 Points

$300 Question from Distance Between 2 Points Find the distance between the 2 points. Round to the nearest hundredth.

$300 Answer from Distance Between 2 Points

$400 Question from Distance Between 2 Points Find the distance between the 2 points. Round to the nearest hundredth.

$400 Answer from Distance Between 2 Points

$500 Question from Distance Between 2 Points Find the distance between point H and point C. Round to the nearest hundredth.

$500 Answer from Distance Between 2 Points

$100 Question from Everybody’s Favorite  What is the Pythagorean Theorem?

$100 Answer from Everybody’s Favorite  a2 + b2 = c2

$200 Question from Everybody’s Favorite  If the diagonal of a rectangle measures 60 inches and one side measures 48 inches, what is the length of the other side of the rectangle?

$200 Answer from Everybody’s Favorite  36 inches

$300 Question from Everybody’s Favorite  The size of a television screen is given by the length of the diagonal of the screen. What size is a television screen that is 21.6 inches wide and 16.2 inches high?

$300 Answer from Everybody’s Favorite  The television screen is: 27 inches

$400 Question from Everybody’s Favorite  Sarah leaned a 20 foot ladder against a house. The bottom of the ladder is 8 feet from the house. How high up the side of the house is the top of the ladder? Round your answer to the nearest whole number.

$400 Answer from Everybody’s Favorite  The ladder is 18 feet long.

$500 Question from Everybody’s Favorite  Jackson is 54 miles east of Lazy R. Resort. Ontario is 31 miles south of Jackson. A land developer proposes building a shortcut road to directly connect Ontario and Lazy R. Resort. About how many miles will it be to drive directly from Ontario to Lazy R. Resort?

$500 Answer from Everybody’s Favorite  62 miles

$100 Question from Similar Triangles  

$100 Answer from Similar Triangles X = 13.2

$200 Question from Similar Triangles Assume the triangles are similar. Find the length of the missing side “x”. x

$200 Answer from Similar Triangles X = 20

$300 Question from Similar Triangles Two similar triangles drawn on the same line will ALWAYS have the __________ __________.

$300 Answer from Similar Triangles Two similar triangles drawn on the same line will ALWAYS have the SAME SLOPE!!

$400 Question from Similar Triangles How tall is the tree?

$400 Answer from Similar Triangles The tree is 36 feet tall!

$500 Question from Similar Triangles Do the following two triangles represent similar triangles? Yes or no? If yes, what ratio represents their side lengths in comparison to one another? 35 28 42

$500 Answer from Similar Triangles  

Final Jeopardy In order for triangles to be similar what two things must be true? You must have both parts to receive points!!

Final Jeopardy Answer The corresponding angles of the 2 triangles must be the same measure. The ratios of the lengths of corresponding sides must be equal.