MATH-10-MODULE-QTR-2Week-7 - NAME Score GRADE SECTION Teacher MATHEMATICS 10 Second Quarter(Week 7 \u2013 Day 1 to 2 MOST ESSENTIAL LEARNING

MATH-10-MODULE-QTR-2Week-7 - NAME Score GRADE SECTION...

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MATHEMATICS 10 Second Quarter (Week 7 – Day 1 to 2) MOST ESSENTIAL LEARNING COMPETENCY Applies the distance formula to prove some geometric properties OBJECTIVE Derive the distance formula WHAT I KNOW Multiple Choice : Choose the letter of the best answer. Write the chosen letter on a separate sheet of paper. 1. Which of the following represents the distance dbetween two points? a. d = (x2+x1)2+(y2+y1)2b. d = (x2+x1)2−(y2+y1)2c. d = (x2x1)2+(y2y1)2d. d = (x2x1)2−(y2y1)2 2. What is the distance between point M (-3, 1) and N (7, -3)? 3. If the coordinates of P and Q are (-2, 5) and (8,5) respectively, which of the following would give the distance between two points? 4. What is the distance of A( 6,8 ) and B ( 12,10) ? 5. Which among the points have a distance of 14.56 units? a. ( -3, 2) (11, 6) b. (-5,-1) ( 8,6) c. (-7,11) (-9,3) d. (0,8) (-10,0) WHAT’S IN Have you ever wondered how engineers find the distance of two places that, even if it’s very far from each other? What is a distance ? Distance is a numerical measurement of how far apart objects or points are. Mathematical Distance is defined as the amount of space between two points. This distance can be calculated using the distance formula . WHAT’S NEW The graph of the given coordinates of two points with the same x-coordinate is a vertical line and the graph of the given coordinates of two points with the same y-coordinate is a horizontal line . In this case you can simply use the absolute value of these different x- or y- coordinate. AB = | 5 2 | = 3 units CD = | 2 6 | = | 4 | = 4 units How about if the given coordinates of two points will form a slanting line? How will you find its distance with each other? Sometimes it is hard to count the units on a coordinate plane, that’s why we have the Distance Formula.

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