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BELL-WORK. Have your HW 4.4(d) out and ready to be checked! If you have been absent, be sure to grade your HW from the website and then turn it in with corrections to the tray in your cubby hole!
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BELL-WORK Have your HW 4.4(d) out and ready to be checked! If you have been absent, be sure to grade your HW from the website and then turn it in with corrections to the tray in your cubby hole! If you have been absent, be sure to report to Mrs. Matthews’ room during your lunch period to complete missing CW. CW must be done in my presence!
HW 4.4(d) Solutions 1.25 yd 20 mm 110 miles 1.2 miles yes no 31. Any length between 22.4 ft and 26.9 ft 33. 35.4 cm
CW 4.7 & 4.8 Review TB pg 616 # 9,15,21,28,29 TB pg 602 # 2,3,21,22
HW 4.4(e) Due tomorrow: TB pg 605 #1-6
Guiding question: What are two applications of the Pythagorean Theorem?
Applications of the Pythagorean Theorem One very important application of the Pythagorean Theorem is that it can be used to find the distance between two points on the coordinate plane.
Distance Formula Proof By Pythagorean Theorem: (AC)2 + (BC)2 = (AB)2 (x2 – x1)2 + (y2 – y1)2 = (AB)2
Distance Formula Proof By Pythagorean Theorem: (AC)2 + (BC)2 = (AB)2 (x2 – x1)2 + (y2 – y1)2 = (AB)2 = AB
Distance Formula Proof The distance between any 2 points is found using the formula:
Applications of the Pythagorean Theorem The distance between A(x1, y1) and B(x2, y2) is found using the formula:
Applications of the Pythagorean Theorem Find the distance between F(6, -9) and G(9, -4) (to the nearest tenth).
Applications of the Pythagorean Theorem Find the distance between F(6, -9) and G(9, -4) (to the nearest tenth).
Applications of the Pythagorean Theorem Find the distance between F(6, -9) and G(9, -4) (to the nearest tenth).
Applications of the Pythagorean Theorem Find the distance between F(6, -9) and G(9, -4) (to the nearest tenth). d = 5.8
Applications of the Pythagorean Theorem The Anderson and McCready families decide to go to a concert together. The Andersons live 4 km west and 6 km north of the concert hall. The McCready’s live 5 km east and 2km south of the concert hall. How far apart do the two families live? Give your answer in simplest radical form.
Applications of the Pythagorean Theorem Not only can we find the distance between 2 points on the coordinate plane, we can also find the midpoint of any line segment. What do you think the midpoint of a line segment is? The midpoint of a line segment is the point that divides the segment into two equal parts.
Midpoint Formula Proof The midpoint ‘M’, is calculated using the formula:
Applications of the Pythagorean Theorem The midpoint ‘M’, is calculated using the formula:
Applications of the Pythagorean Theorem Find the midpoint of the line joining F(6,-9) and H(9, -4).
Applications of the Pythagorean Theorem Find the midpoint of the line joining F(6,-9) and H(9, -4).
Applications of the Pythagorean Theorem Find the midpoint of the line joining F(6,-9) and H(9, -4). M = (7½, -6½)
Applications of the Pythagorean Theorem CD is a diameter of a circle. The coordinates of C are (-2,-3), and the coordinates of D are (-12,-5). Find the center of the circle.
Who wants to answer the Guiding question? What are two applications of the Pythagorean Theorem?