Chapter 7 Geometry Jeopardy Vocab Similar Similar Proportions Polygons Triangles and ratios Final Jeopardy Challenge Similar Parts 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500 Vocab 100 A segment with endpoints that are the midpoints of the two sides of a triangle. Vocab 100 What is the midsegment? Vocab 200 Two polygons that have the same shape but may be different in size. Vocab 200 What is similar polygons? Vocab 300 A comparison of two quantities using division. Vocab 300 What is ratio? Vocab 400 An equation that states two ratios are equal. Vocab 400 What is a proportion? Vocab 500 Ratio of the lengths of the sides of two similar polygons. Vocab 500 What is the scale factor? Similar Polygons 100 If quadrilateral DEFG ~ quadrilateral WXYZ, this is the value of angle Y. G Z 52˚ W D Y 83˚ E 125˚ 100˚ F X Similar Polygons 100 What is 100˚? 200 Similar Polygons Value of AD. S P 10 R 28 D A Q 6.5 B C Similar Polygons 200 What is 18.2? 300 Similar Polygons Polygon ABCDE ~ polygon RSTUV. This is the value of RV. E T 12 A U D S 25 15 B C V R Similar Polygons 300 What is 20? Similar Polygons 400 Quadrilateral JKLM ~ quadrilateral WXYZ, JK = 15, LM = 10, XY = 6, and WX = 9. The value of KL. Similar Polygons 400 What is 10? Similar Polygons 500 A quadrilateral has a perimeter of 92 cm and one side measures 16 cm. The lengths of the other three sides are in the ratio 5:6:8. These are the lengths of the three missing sides. Similar Polygons 500 What are 20, 24, & 32 cm? Similar Triangles 100 Determine if triangle ABC ~ triangle DEF. If yes state the theorem used. A 9 C D 12 B E 8 4 F Similar Triangles 100 What is not similar? 200 Similar Triangles Triangle ABC ~ Triangle DEF, this is the value of angle C. B D 67˚ A 54˚ C F 67˚ E Similar Triangles 200 What is 59˚? Similar Triangles 300 Value of CE. A 8 D 20 B C E 35 Similar Triangles What is 25? 300 400 Similar Triangles Value of CE. (NOT drawn to scale) B 6 A 4 5 C D 39 E Similar Triangles 400 What is 26? Similar Triangles 500 The shortest side of a triangle is 4 meters long, this is the perimeter if the three sides of this triangle are in the ratio 2:4:5. Similar Triangles 500 What is 22 m? Proportions and ratios 100 Given the choice between doing an oral and a written report, 18 of the 28 students chose to do an oral report. This is the ratio of written to oral reports. Proportions and ratios 100 What is 5:9? Proportions and ratios 200 Of the 300 televisions sold at an electronics store last month, 90 were flat-screen TVs. This is the ratio of flat-screen TVs to other TVs sold last month. Proportions and ratios 200 What is 3:7? Proportions and ratios 300 The model of a suspension bridge is 18” long and 2” tall. If the length of the actual bridge is 1650’, this is its height. Proportions and ratios 300 What is 183⅓’? Proportions and ratios 400 A painting that is 48” x 12” is reduced to fit on an area that is 30in x 10in. This is the maximum dimensions of the reduced painting. Proportions and ratios 400 What is 30in x 7.5in? Proportions and ratios 500 This is the ratio of the circle area to the area of the square in terms of π. 4m 4m Proportions and ratios 500 What is π/4? Similar Parts 100 The value of x. 20 x 36 18 Similar Parts 100 What is 10? Similar Parts 200 The value of x. 12 9 x 6 Similar Parts 200 What is 8 ? Similar Parts 300 The value of x. 11 x 17 X + 7 Similar Parts 300 What is 77/6? Similar Parts 400 The perimeter of the smaller triangle. 22 20 24 10 Similar Parts 400 What is 33? 500 Similar Parts The perimeter of triangle ABC. B E 9 12 5 A D 13 C Similar Parts 500 What is 54 units? Final Jeopardy This is the length of FG. D 8 C A 2.8 3.2 B 7 E F 4.2 G Final Jeopardy ANSWER What is 4.8?