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The Midpoint Formula

The Midpoint Formula. The midpoint between the two points (x 1 , y 1 ) and (x 2 , y 2 ) is:. a. FIND MIDPOINT The endpoints of RS are R (1, – 3) and S (4, 2). Find the coordinates of the midpoint M. EXAMPLE 1. Use the Midpoint Formula. 1. ,. –. ,. M. M. =. 2. 5. 2.

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The Midpoint Formula

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  1. The Midpoint Formula The midpoint between the two points (x1, y1) and (x2, y2) is:

  2. a. FIND MIDPOINTThe endpoints ofRSare R(1,–3) and S(4, 2). Find the coordinates of the midpoint M. EXAMPLE 1 Use the Midpoint Formula

  3. 1 , – , M M = 2 5 2 The coordinates of the midpoint Mare 1 5 – , 2 2 ANSWER – 3 + 2 1 + 4 2 2 EXAMPLE 2 Use the Midpoint Formula SOLUTION a. FIND MIDPOINTUse the Midpoint Formula.

  4. FIND ENDPOINTLet (x, y) be the coordinates of endpoint K. Use the Midpoint Formula. b. FIND ENDPOINTThe midpoint of JKis M(2, 1). One endpoint is J(1, 4). Find the coordinates of endpoint K. STEP 1 Find x. STEP 2 Find y. 4+ y 1+ x 1 2 = = 2 2 ANSWER The coordinates of endpoint Kare (3, – 2). EXAMPLE 2 Use the Midpoint Formula 4 + y = 2 1 + x = 4 y =–2 x =3

  5. 3. The endpoints of ABare A(1, 2) andB(7, 8).Find the coordinates of the midpoint M. () M (4, 5) = M 1 + 7 2 + 8 ANSWER The Coordinates of the midpoint M are(4,5). , 2 2 for Example 3 GUIDED PRACTICE SOLUTION Use the midpoint formula.

  6. STEP 1 Find x. STEP 2 Find y. 4+ x – 1 = 4+ y – 2 2 = 2 ANSWER The coordinates of endpoint V is (– 6, – 8) for Example 3 GUIDED PRACTICE 4. The midpoint of VWis M(– 1, – 2). One endpoint is W(4, 4). Find the coordinates of endpoint V. SOLUTION Let (x, y) be the coordinates of endpoint V. Use the Midpoint Formula. 4 + x = – 2 4 + y = – 4 x = –6 y = –8

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