Jeopardy Review Find the Missing Leg / Hypotenuse Pythagorean Theorem Converse Distance Between 2 Points Everybody’s Favorite Similar T riangles Q $100.

Jeopardy ReviewFind the

Missing Leg / Hypotenuse

Pythagorean

Theorem Converse

Distance Between 2 Points

Everybody’s Favorite

Similar Triangles

Q $100

Q $200

Q $300

Q $400

Q $500

Q $100 Q $100Q $100 Q $100

Q $200 Q $200 Q $200 Q $200

Q $300 Q $300 Q $300 Q $300

Q $400 Q $400 Q $400 Q $400

Q $500 Q $500 Q $500 Q $500

Final Jeopardy

$100 Question fromFind the Missing Leg / Hypotenuse

• Correctly draw and label the sides of a right triangle.

$100 Answer fromFind the Missing Leg / Hypotenuse

a

b

c

$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 fromFind the Missing Leg / Hypotenuse

2025 + 8836 = 10,861Square 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 fromFind the Missing Leg / Hypotenuse

.5625 + b2 = 17.361b2 = 16.79861

b = 4.10

$100 Question fromPythagorean 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 fromPythagorean 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?

9

1215

$300 Answer from Pythagorean Theorem Converse

81 + 144 = 225225 = 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 fromPythagorean 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 fromDistance 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 fromDistance Between 2 Points

Find the distance betweenthe 2 points. Round to the nearest hundredth.

$200 Answer fromDistance Between 2 Points

a = 6b = 8

C = 10

$300 Question fromDistance Between 2 Points

Find the distance betweenthe 2 points. Round to the nearest hundredth.

$300 Answer fromDistance Between 2 Points

A = 2B = 5

C = 5.39

$400 Question from Distance Between 2 Points

Find the distance between the 2 points. Round to the nearest hundredth.

$400 Answer fromDistance Between 2 Points

42 + 72 = c2

16 + 49 = c2

65 = c2

C = 8.06

$500 Question fromDistance Between 2 Points

Find the distance between point H and point C. Round to the nearest hundredth.

$500 Answer fromDistance Between 2 Points

a = 4b = 5

C = 6.40

$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 fromEverybody’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 fromSimilar 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 fromSimilar Triangles

X = 20

$300 Question fromSimilar 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 fromSimilar Triangles

How tall is the tree?

$400 Answer from Similar Triangles

The tree is 36 feet tall!

$500 Question fromSimilar 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?

2835

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.