1. Jeopardy Final Jeopardy $100 $100 $100 $100 $200 $200 $200 $200 $300
Am I Similar ?
What’s my
Missing piece?
What does it
look like?
Where’s
my mirror?
$100
$100
$100
$100
$200
$200
$200
$200
$300
$300
$300
$300
$400
$400
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$500
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Final Jeopardy

2. 1 - $100 How can you prove two figures are similar?
In order for two figures to be similar all corresponding angles must be congruent and corresponding sides must be proportional.
In triangles, we only need to know two pairs of corresponding angles are congruent OR all three pairs of corresponding sides are proportional?

3. 1 - $200 Are we similar? Explain why or why not.
No, there is not enough information. We do not know if all corresponding sides are proportional OR if all corresponding angles are congruent.

4. 1 - $300 Who is similar to who? Write the similarity statements.
ABC ~ DEF and RST ~ UVW

5. 1 - $400 Yes; the scale factor is 2. TPN ~ GKR
If yes, provide the scale factor and similarity statement. If no state w
Yes; the scale factor is 2. TPN ~ GKR

6. 1 - $500
Prove abc ≡ fde

7. 2 - $100
What is the value of x?
X = 30

8. 2 - $200
What is x?
X = 17.5 ft

9. 2 - $300
ABC ~ DEC What is the value of x? Include the proportion you used to solve.
8 = x
X = 9.6

10. 2 - $400
What is the value of h?
H = 2.7 m

11. 2 - $500
Solve for both x and y.
x = 3.6, y = 5

12. 3 - $100
You are going to estimate the height of the Eiffel tower using the method in the mirror lab. You place the mirror 375 ft from the base of the tower and you stand 2 ft from the mirror. Your eyes are 5.5 ft off the ground. What does the diagram look like ?
5.25ftt
375 ft
2 ft

13. 3 - $200
You are using a mirror to estimate the height of a tree. The mirror is placed 20 m from the base of the tree. You are 2 m tall and stand 4 m from the mirror. Draw the diagram of the situation.

14. 3 - $300
You estimate the height of the tree by measuring shadows. You measure the tree’s shadow to be 4.8 m and then use a 1m rod and measure its shadow to be 0.6 m. Draw a diagram to represent the situation.

15. 3 - $400
You want to estimate the height of a tree. You stand 27 m from the tree so that the tip of your shadow coincides with the tip of the tree’s shadow. Your shadow is 3m and you are 2m tall. Draw the diagram to represent the situation.

16. 3 - $500
You are going to estimate the height of a tree, so you hold a ruler straight out in front of you until the top of the tree lines up with the top of the ruler. You are holding the base of the ruler at eye level and your arm is 2.5 feet long. Draw a picture of the scenario. What other information will you need to solve the problem?
Need your distance from the tree and
How high your eye level is

17. 4 - $100
A 40-foot flagpole casts a 25-foot shadow. Find the shadow cast by a nearby building 200 feet tall.
125 ft

18. 4 - $200
Triangles EFG and QRS are similar. The length of the sides of EFG are 144, 128, and 112. The length of the smallest side of QRS is 280, what is the perimeter of QRS? (round to the nearest tenth)
Perimeter = 747.7

19. 4 - $300
There is a tower that has a guy wire that extends from the top to a point on the ground 150 ft from the base of the tower. If you stand 3 ft from the point where the guy wire hits the ground and your eyes are 4 ft off the ground. How long is the guy wire?
Guy wire is 250 ft

20. 4 - $400
To measure the inaccessible width of a river, a girl marks a rock on the other bank. Standing directly across from the rock, she walks 5m down the bank and places a stake. She continues to walk 7m down the bank. She then walks out perpendicular to the bank until she sees the stake and rock in the same line. If she walks 21 m out from the back how wide is the river?
River is 15 m wide

21. 4 - $500
Your neighbor is building a fence to ensure that you cannot see into his window from your house. The property line where he will put the fence is 3.0 m from the window in your house and his window is 8.0 m from your window. If his house is 3.8 m north of yours, and your window is 2.0m off the ground, how tall does the fence need to be?
3.425 m

22. Final Jeopardy
Pablo is practicing bank shots on a standard 4 ft by 8 ft pool table that has a wall on each side, a pocket in each corner, and a pocket at the midpoint of each eight-foot side.
Pablo places the cue ball one foot away from the south wall of the table and one foot away from the west wall, as shown in the diagram. He wants to bank the cue ball off the east wall and into the pocket at the midpoint of the north wall.
At what point should the cue ball hit the east wall?
1.09 ft (1 1/11ft) below north wall