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24) 4/3 25) a/3 26) 7/4 or (3+4)/4 27) b/a = 4/3 11) ∆ABC~∆DEF SF 3:5 12)ABCD~FEDG SF 2:3 13)Not similar, explain 14) x = 4, y = 3 15) x = 8, y = 9, z = 5.25. 16) x = 12.75, y = 18. 5 17) 120 pix by 90 pix 18)24ft wide, 13.5ft high 19) 5 in 20) 9.5 in 21) 3: 5 22) 51 o
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24) 4/3 25) a/3 26) 7/4 or (3+4)/4 27) b/a = 4/3 11)∆ABC~∆DEF SF 3:5 12)ABCD~FEDG SF 2:3 13)Not similar, explain 14) x = 4, y = 3 15) x = 8, y = 9, z = 5.25 16) x = 12.75, y = 18. 5 17) 120 pix by 90 pix 18)24ft wide, 13.5ft high 19) 5 in 20) 9.5 in 21) 3: 5 22) 51o 23) 5 : 3 24) 16.5 25) 25 26) 60ft 27) about 314 km 28) No, must be 29) SF of 1:1, 7-2 Homework Answers
12) x = 180ft, AA~ 13) x = 13.75ft, AA~ 14) about 169.2 m 15) Not ~, ratios not = 16) ∆LMN ~ ∆SMT by AA~ 17) a. No, explain b. Yes, explain 18) height = 15ft 19) height = 180ft 20) x = 6 21) x = 20 22) yes by AA~, the parallel lines create corresponding angles 7-3 Homework Answers
7-3 Indirect Measurement Review • Heading for progress tracker: Indirect measurement Worksheet • Do no write on worksheet! • Work with one person on the same piece of paper. • Draw a diagram for each problem • Work must be shown
Take Home Quiz • Due Wednesday • Write on the quiz • Work must be shown to receive ANY credit. If you think there is no work to show then you must write me a written explanation
7-4 Similarity in Right Triangles Learning Goal: Use the relationships of similar right triangles, specifically the geometric mean.
When the altitude is drawn to the hypotenuse of a right triangle, 3 similar triangles are created. Theorem 7-3
Example 1 Write an extended similarity statement for the 3 similar triangles in the diagram.
Notes: Geometric Mean • Geometric mean of a and b is the positive number x such that (the means are equal.) • Corollary 1 to theorem 7-3: The altitude to the hypotenuse is the geometric mean of the segments of the hypotenuse.
Last Example! If you program the robot to go from A to D to pick up the bottle, how far does the robot travel?
Classwork: Due Thursday/Friday • Heading for Progress tracker: pg 490 #12-19, 24-26 • What you don’t finish in class is homework, so use your time wisely! • Chapter 7 Test is next Wednesday.