11 Making the Connection Language Qi qiao is pronounced che che au 2 2 2 2 2 2

11 making the connection language qi qiao is

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11. Making the Connection [ Language ] Qi qiao is pronounced [che che au . ]. 2 2 2 2 2 2 2 2 2 2 2 4 2 4 2 4 2 2 2 2 484 CHAPTER 9 The Pythagorean Theorem 9.1
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IMPROVING YOUR V ISUAL THINKING SKILLS Fold, Punch, and Snip A square sheet of paper is folded vertically, a hole is punched out of the center, and then one of the corners is snipped off. When the paper is unfolded it will look like the figure at right. Sketch what a square sheet of paper will look like when it is unfolded after the following sequence of folds, punches, and snips. Fold once. Fold twice. Snip double-fold corner. Punch opposite corner. 12. Make a set of your own seven tangram pieces and create the Cat, Rabbit, Swan, and Horse with Rider as shown on page 484. 13.Find the radius of circle Q.14.Find the length ofAC.15.The two rays are tangent to the circle. Whats wrong withthis picture? 16. In the figure below, point A 17. Which congruence shortcut 18. Identify the point of is the image of point A after can you use to show that concurrency in QUO a reflection over OT. What ABP DCP ? from the construction are the coordinates of A ? marks. 19.In parallelogram QUID, mQ2x5°and mI4x55°. What is mU? 20.In PRO, mP70°and mR45°. Which side of the triangle is the shortest?PO B D A C P A y B A D C C 12 units 18 2 cm 4, 4 3 12. 15. Draw radii CD and CB. ABC ADC 90°. For quadrilateral ABCD 54° 90° m C 90° 360°, so m C 126°. BD 126° but 126° 226° 360°. Exercises 19, 20, 18 [ Language ] The figure names in these exercises form a legal phrase: quid pro quo. Quid pro quo means something for something. It s used to mean the consideration for a contract, that is, what each party gets out of it (such as money or advan- tage). A similar colloquial expression is tit for tat. EXTENSION Have students show algebraically that 3-4-5 is the only Pythagorean triple of consecutive positive integers. LESSON 9.4 Story Problems 485 IMPROVING V ISUAL THINKING SKILLS 9.3 7.1 5.5 4.3 9.1 4.5 6.2 3.7
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L E S S O N 9.5 486 CHAPTER 9 The Pythagorean Theorem We talk too much; we should talk less and draw more. JOHANN WOLFGANG VON GOETHE L E S S O N 9.5 Distance in Coordinate Geometry V iki is standing on the corner of Seventh Street and 8th Avenue, and her brother Scott is on the corner of Second Street and 3rd Avenue. To find her shortest sidewalk route to Scott, Viki can simply count blocks. But if Viki wants to know her diagonal distance to Scott, she would need the Pythagorean Theorem to measure across blocks. You can think of a coordinate plane as a grid of streets with two sets of parallel lines running perpendicular to each other. Every segment in the plane that is not in the x - or y -direction is the hypotenuse of a right triangle whose legs are in the x - and y -directions. So you can use the Pythagorean Theorem to find the distance between any two points on a coordinate plane.
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  • Fall '16
  • mr. nernaic
  • Math, Pythagorean

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