GEOMETRY Section 1.3 Midpoint.

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Presentation transcript:

GEOMETRY Section 1.3 Midpoint

The definition of Congruent Congruent means having the same shape and size. Two shapes are congruent if you can turn, flip and/or slide one so it fits exactly on the other.

The Definition of Midpoint The midpoint of a segment is the point that divides the segment into two congruent segments.

Line Segment Bisector A Segment Bisector is a point, ray, line, line segment or plane that intersects a line segment at its midpoint.

The Midpoint Formula

 The Midpoint Formula (2,4) (-1,7) (5,1) 4/2 , 8/2 2 , 4 (X1+X2)/2 , (Y1+Y2)/2 [5+(-1)]/2 , (1+7)/2 (-1,7) 4/2 , 8/2 2 , 4  (2,4) (5,1)

The Distance Formula The distance formula is used to find the length of a line segment if you know the coordinates of the segment endpoints. The distance equals:

Remember PEMDAS The Distance Formula = 5 In this case: X2 = 4 X1 = 1 Y2 = 6 Y1 = 2 (X2 – X1) = (4 – 1) = (3) (Y2 – Y1) = (6 – 2) = (4) √[(3)2 + (4)2] = √[9 + 16] √[25] = 5 Remember PEMDAS

Section 1.3 (page 19) #3, 7, 14, 17 and 21 Option: # 8, 16, 23 Homework: Section 1.3 (page 19) #3, 7, 14, 17 and 21 Option: # 8, 16, 23