1.6: The Midpoint Formula Objective:

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1-6: Midpoint and Distance

Presentation transcript:

1.6: The Midpoint Formula Objective: To find the coordinates of a midpoint of a segment on the coordinate plane

AGENDA Homework Check Warm Up Midpoint Formula Review for Quiz: Scavenger Hunt

HOMEWORK “Practice Quiz B” Worksheet Optional BONUS! Assignment [Bonus points]

You also could just plot the points and use the Pythagorean Theorem!! The Distance Formula Used to find the distance between two points: A( x1, y1) and B(x2, y2) You also could just plot the points and use the Pythagorean Theorem!! From last time…

Finding the Distance…THINK! If it is… If it is Horizontal Diagonal Vertical 12 units Distance Formula Pythagorean Theorem 15 units Count it!

Warm Up Find the distance between the two points. Round your answer to the nearest tenth. T(5, 2) and R(-4, -1) 2. A( -2, -3) and B(1, 3)

Midpoint Formula Find the midpoint coordinates between 2 points Find by averaging the x-coordinates and the y-coordinates of the endpoints (x2, y2) (x1, y1)

Find the coordinates of the midpoint of Q(3, 5) and S(7, -9) Q( -4, 4) and S(5, -1)

Finding an Endpoint Using the Midpoint Formula The midpoint of is M(3, 4). One endpoint is A (-3, -2). Find the coordinates of the other endpoint, B. x- coordinate: y-coordinate:

Finding an Endpoint Using the Midpoint Formula Find the other endpoint: Endpoint: (2, 5) Midpoint: (5, 1)

Think Visually!