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Dive into the world of geometry and discover essential concepts of proportionality, similarity, and scale factors. This guide covers crucial topics such as dilations, ratios of corresponding sides, and the properties of polygons. Learn to distinguish between proportionate and non-proportionate figures, apply the SAS Similarity criterion, and calculate areas of similar triangles. We also explore real-world applications with models, such as lighthouses and airplanes, reinforcing the concept of scale. Perfect for students and educators alike!
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Jeopardy GEOMETRY Irma Crespo 2010
Final Geometry CREDIT Jeopardy
2 = 4 . 4 16
1 = 3 3 9
12 = 24 48 96
9 . = 18 27 81
6 A B 3.5 14 14 J K 1.5 1.5 M L 3.5 C D 6
G H 2 I J 4 L M 3 O N 6
Triangle A’B’C’ is a dilation of ABC. B B’ A’ C’ A C
15 in 6 in 10 in 25 in Similar Polygons
3 m 2 4
3 6 24 48 12 x
A D 4 4 8 8 E F X B C 5.2
6 4 4 4.5 X 6
15 24 8 X
Polygons are plane closed figures formed by straight line segments and are either convex or concave.
The ratio of the measures of a pair of corresponding sides is the proportion.
Dilation is the enlargement or reduction of a figure using a scale factor.
A scale factor greater than 1 enlarges the size of an image.
The scale factor of two similar triangles is ¼. The smaller triangle has an area of 24 square inches. Find the area of the larger triangle.
Glenn drew two similar right triangles. The first triangle has legs that are 3 inches and 4 inches. The second triangle has legs that are 6 inches and 8 inches. What law would you apply to show their similarity?
The height of the model lighthouse is 18 inches. The actual lighthouse is 270 feet. What is the scale of the model?
Jason is building a model airplane. The scale of the model is 1 centimeters to 1.25 meters. If the actual airplane measures 7.5 meters in length, what will be the length of the model?