Solving Proportions and Ratios: A Jeopardy Challenge
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Dive into this engaging Jeopardy-style challenge that tests your understanding of proportions, ratios, and triangle similarity. From solving equations involving written and oral report preferences to determining the heights of model lighthouses based on given dimensions, this activity sharpens your mathematical skills. Additionally, solve problems related to triangle side ratios and similar polygons, and justify your answers using theorems and postulates. Perfect for enhancing your problem-solving abilities in geometry!
Solving Proportions and Ratios: A Jeopardy Challenge
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Presentation Transcript
Solve the following Proportion: 3 x - 2 _____ = _____ 4 20
Given the choice between doing an oral and a written report, 18 of the 28 students chose to do an oral report. Find the ratio of written to oral reports.
A model of a lighthouse has a diameter 8 inches and height 18 inches. If the actual diameter of the lighthouse is 20 feet, find its actual height.
The three sides of a triangle are in the ratio 2:4:5. If the shortest side of the triangle is 4 meters long, find the perimeter.
The ratio of the measures of the 3 sides of a triangle is 3:4:6. If the perimeter is 91, find the measures of the longest side.
Name the theorem or postulate that could be used to prove that these triangles are similar.
Determine whether . Justify your answer.
Determine whether . Justify your answer.
If quadrilateral JKLM ~ quadrilateral WXYZ, JK = 15, LM 10, XY = 6, and WX = 6, and WX = 9, find KL.
If triangle LMN ~ triangle RST, LN = 21, MN = 28, and the scale factor of triangle RST to triangle LMN is 4/3, find ST.
If with altitudes AP and XQ. Find AP.