Warm-Up #28 Monday 5/2 Write an equation in slope intercept form with these two points: (2, 4) and (0, -6). Given f(x)= f(x-1) +3 and f(0) = 6, find f(2).

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Presentation transcript:

Warm-Up #28 Monday 5/2 Write an equation in slope intercept form with these two points: (2, 4) and (0, -6). Given f(x)= f(x-1) +3 and f(0) = 6, find f(2). Find x 30

homework Perpendicular Bisector Worksheet

Perpendicular Bisector Theorem

A point is equidistant from two objects if it is the same distance from the objects.

Perpendicular Bisector Theorem If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Converse of the Perpendicular Bisector Theorem If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.

Using the Perpendicular Bisector Theorem What is the length of segment AB? BA = BC 4x = 6x – 10 -2x = -10 x = 5 AB = 4x AB = 4 (5) AB = 20

Example Solve for x

Example Solve for x

Example Solve for x

Draw a Perpendicular Bisector to a Given Line Begin with a given line 1. Place the compass point on one end point (ep) of the line. 2. Adjust the compass radius to approximately 2/3 the length of the line (radius must be > ½ the length of the line but actual size does not matter) 3. Draw an arc above and below the line.

Draw a Perpendicular Bisector to a Given Line Without adjusting the radius place the compass point on the opposite ep of the line . Draw arcs intersecting the first two Connect the intersections using a straight edge.

Draw a Perpendicular Bisector to a Given Line- Solution