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  1. The distance formula is used to determine the distance between two points in a plane, which is [(x₂ - x₁)² + (y₂ - y₁)²]. On the other hand, the midpoint formula determines the point lying in the middle of two specified points, and it is calculated as [(x₁+ x₂)/2, (y₁+ y₂)/2].

  2. Unit 1: Lesson 1.3 Date: _____ Period: _____ Distance and Midpoint Formula Essential Questions: o How do algebra and geometry work together within the coordinate plane? Goal: I can find the distance and midpoint on the coordinate plane, as well as algebraically. Key Ideas/Vocabulary: Distance Formula

  3. Find the midpoint of a segment in the coordinate plane using the midpoint formula. Given points Examples: Find the midpoints of RS if the coordinates are R(1, -3) and S(4,2). The midpoint of JK is M(2, 1). One endpoint is J(1, 4). Find the coordinates of the other endpoint K. You Try: a) Find AM given M bisects AC

  4. 3 wrz 2020 · Final answer: The coordinates of point R are (-11/2, -9/2). Explanation: The coordinates of points S and T are S(-4, -6) and T(-7, -3). To find the coordinates of point R, we need to calculate the midpoint of the line segment ST. The midpoint formula is given by: M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

  5. Use the distance formula to find the distance between two points in the plane. Use the midpoint formula to find the midpoint between two points.

  6. Using the Distance Formula You can use the Distance Formula to fi nd the distance between two points in a coordinate plane. You can derive the Distance Formula from the Pythagorean Theorem, which you will see again when you work with right triangles. Pythagorean Theorem c2 = a2 + b2 Distance Formula (AB)2 = (x 2 − x 1)2 + (y 2 − y 1)2 a b c ...

  7. Use the Midpoint Formula. Use the Distance Formula. Midpoints and Segment Bisectors Finding Segment Lengths In the skateboard design, VW — bisects XY — at point T, and XT = 39.9 cm. Find XY. SOLUTION Point T is the midpoint of XY — . So, XT = TY = 39.9 cm. XY = XT + TY Segment Addition Postulate (Postulate 1.2) = Substitute.39.9 + 39.9 ...

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