[PDF] 10-1 Study Guide and Intervention Midpoint and Distance Formulas PDF 10-1_hw_alg2

10-1 Study Guide and Intervention Midpoint and Distance Formulas The Midpoint Find the midpoint of the line segment with endpoints at the given coordinates 1 (12, 7) and (–2, 11) 2 (Express your answer in terms of π ) 6 Chapter 10

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Midpoint and Distance Formulas The Midpoint Formula 8-1 Study Guide and Intervention continued) Midpoint and Formula The midpoint Mof a segment with endpoints (X, Yx) and (Xxs ya) is ( 472) Answers (Lesson 8-1) Subtract 1

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Study Guide and Intervention Distance and Midpoints Distance Between Two Points Distance Distance Formula: y x О B(x2, y2) A(x1, y1) d = √ (x2 - x1)2 +

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1-3 Study Guide and Intervention Distance and Midpoints Distance Between Two Points Distance AB = 1 – 2 or 2 – 1 Distance Formula :

[PDF] 10-1 Study Guide and Intervention Midpoint and Distance Formulas

[PDF] Study Guide and Intervention The Distance and Midpoint Formulas

10 jan 2014 · Study Guide and Intervention The Distance and Midpoint Formulas Distance Formula The Pythagorean Theorem can be used to derive the

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1-2 Study Guide and Intervention (continued) Linear Measure B(1, 3) Distance Formula -5-4-3-2-1 0 1 2 3 3 =(-4)- Distance and Midpoints Midpoint of a

[PDF] Midpoint and Distance Formulas - GLP_Alg2 CC_FM_869851-0

Find the midpoint of a segment on the coordinate plane State/Local Review of homework using Answer Key Transparencies, Lesson 8-1 Daily Intervention, TWE, p 414 Study Guide and Intervention, All Exercises, CRM, pp 455–456

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Use the Distance Formula to find the distance between each pair of points 9 Find the coordinates of the midpoint of a segment having the given endpoints

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5 déc 2018 · completed Study Guide and Intervention Workbook can help you in reviewing for quizzes and tests answers to these worksheets are available at the end of each then the coordinate of the midpoint of the segment is Many coordinate proofs use the Distance Formula, Slope Formula, or Sheet set 8

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14 M(11, 2), N(19, 6) –10 –8 –6 –4 –2 0 2 4 6 8 A B C D E F G –3 –2 –1 0 1 2 P Q Study Guide and Intervention (continued) Distance and Midpoints

NAME DATE PERIOD 10-1 Study Guide and Intervention Midpoint and Distance Formulas The Midpoint Formula A diameter �� of a circle Example 1 Example 2 Find the coordinates of M, the midpoint of ��, for J(4, -7) and K(-2, 3). has endpoints A(5, -11) and B(-7, 6). What are the coordinates of the center of the circle? The center of the circle is the midpoint of all of its diameters. ��! + ��!2,��! + ��!2=5+(-7)2,-11+62 =!!!,!!! or -1,-2!! The circle has center -1,-2!! ��! + ��!2,��! + ��!2=4+(-2)2,-7+32 =!!,!!! or 1,-2 The midpoint of �� is (1, -2) Exercises Find the midpoint of the line segment with endpoints at the given coordinates. 1. (12, 7) and (-2, 11) 2. (-8, -3) and (10, 9) 3. (4, 15) and (10, 1) 4. (-3, -3) and (3, 3) 5. (15, 6) and (12, 14) 6. (22, -8) and (-10, 6) 7. (3, 5) and (-6, 11) 8. (8, -15) and (-7, 13) 9. (2.5, -6.1) and (7.9, 13.7) 10. (-7, -6) and (-1, 24) 11. (3, -10) and (30, -20) 12. (-9, 1.7) and (-11, 1.3) 13. GEOMETRY Segment �� has midpoint P. If M has coordinates (14, -3) and P has coordinates (-8, 6), what are the coordinates of N? 14. GEOMETRY Circle R has a diameter ��. If R has coordinates (-4, -8) and S has coordinates (1, 4), what are the coordinates of T? 15. GEOMETRY Segment �� has midpoint B, and �� has midpoint C. If A has coordinates (-5, 4) and C has coordinates (10, 11), what are the coordinates of B and D? 5 Chapter 10 Glencoe Algebra 2 Lesson 10-1 Midpoint Formula The midpoint M of a segment with endpoints (x1, y1) and (x2, y2) is !! ! !!!,!! ! !!!.

NAME DATE PERIOD 10-1 Study Guide and Intervention Midpoint and Distance Formulas (continued) The Distance Formula Example 1 What is the distance between (8, -2) and (-6, -8)? ��=��!-��!!+��!-��!! =-6-8!+-8--2! =-14!+-6! =196+36 or 232 Distance Formula Let (x1, y1) = (8, -2) and (x2, y2) = (-6, -8). Subtract. Simplify. The distance between the points is 232 or about 15.2 units. Example 2 Find the perimeter and area of square PQRS with vertices P(-4, 1), Q(-2, 7), R(4, 5), and S(2, -1). Find the length of one side to find the perimeter and the area. Choose ��. ��=��!-��!!+��!-��!! =-4--2!+1-7! =-2!+-6! =40 or 210 Distance Formula Let (x1, y1) = (-2, 7) and (x2, y2) = (-4, 1). Subtract. Simplify. Exercises Since one side of the square is 210, the perimeter is 810 units. The area is 210!, or 40 units2. Find the distance between each pair of points with the given coordinates. 1. (3, 7) and (-1, 4) 2. (-2, -10) and (10, -5) 3. (6, -6) and (-2, 0) 4. (7, 2) and (4, -1) 5. (-5, -2) and (3, 4) 6. (11, 5) and (16, 9) 7. (-3, 4) and (6, -11) 8. (13, 9) and (11, 15) 9. (-15, -7) and (2, 12) 10. GEOMETRY Rectangle ABCD has vertices A(1, 4), B(3, 1), C(-3, -2), and D(-5, 1). Find the perimeter and area of ABCD. 11. GEOMETRY Circle R has diameter �� with endpoints S(4, 5) and T(-2, -3). What are the circumference and area of the circle? (Express your answer in terms of π.) 6 Chapter 10 Glencoe Algebra 2 Distance Formula The distance between two points (x1, y1) and (x2, y2) is given by ��=��!-��!!+��!-��!!

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[PDF] [PDF] 10-1 Study Guide and Intervention Midpoint and Distance Formulas