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JeopardyRatios/
ProportionsMidsegment
ProportionalitySimilar
PolygonsSimilar
TrianglesMisc.
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Final Jeopardy
$200 Question from “Ratios/Proportions”
Out of a survey of 1000 households, 460 had at least one dog or cat as a pet. What is the ratio of pet owners to households?
$300 Question from “Ratios/Proportions”
The ratio of the measures of three sides of a triangle is 2:5:4, and its perimeter is 165
units. Find the measure of each side of the triangle.
$400 Question from “Ratios/Proportions”
According to a recent study, 6 out of every 500 Americans aged 15 to 17 have a job. In a group of 850 15 to 17 year olds, about how many would you expect to have a job?
$500 Question from “Ratios/Proportions”
Jane jogs the same path every day in the winter to stay in shape for track season. She runs at a constant rate and she spends a total of 39 minutes jogging. If the ratio of times of the four legs of the jog is 3:5:1:4, how long does the second leg of the jog take her?
$300 Question from “Midsegment/Proportionality”
JH is a midsegment of the given triangle. Determine x.
$400 Answer from“Midsegment/Proportionality”
1. Midsegments are half as long as one side of a triangle.
2. Midsegments are parallel to one side of a triangle
$500 Question from“Midsegment/Proportionality”
Billy claims that in order to solve for x for the triangles below, he must solve the following proportion: Is he correct?
Why or why not?
$500 Answer from“Midsegment/Proportionality”
He is incorrect because we are not told that the triangles are similar. We don’t have parallel lines so we can not solve for x without more information.
$100 Question from “Similar Polygons”
List all pairs of congruent angles and write a proportion that relates the corresponding sides for each pair of similar polygons
$200 Question from “Similar Polygons”
Are the following figures similar? If so write a similarity statement and scale
factor (left to right). If not, explain why.
$300 Answer from “Similar Triangles”
NOPE– we do not have SAS similarity because the angle is not the included angle!
$500 Question from “Similar Triangles”
A lighthouse casts a 128-foot shadow. A nearby lamppost that measures 5 feet 3 inches casts an 8 foot shadow.
What is the height of the lighthouse?
$400 Question from “Misc.”
An electronics company manufactures widescreen television sets in several different sizes. The rectangular viewing area of each television size is similar to the viewing areas of the other sizes. The company’s 42- inch widescreen television has a viewing area perimeter of approximately 144.4 inches. What is the viewing area perimeter of the company’s 46-inch widescreen television?
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