Segment/Angle Addition Postulates Distance and midpoint in Geometry!!

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Presentation transcript:

Segment/Angle Addition Postulates Distance and midpoint in Geometry!!

Distance/Midpoint on a number line To find the distance between numbers on a number line……_________________ the two numbers. If the answer is negative, then take the ______________ ________________ To find a midpoint on a number line ________ the two numbers, then ________________ by 2 REMEMBER Distance is NEVER NEGATIVE!!

Segment Addition Postulate G H K Statement: + =

Segment Addition Postulate -- Example A B C Statement: Find BC if: AB = 2x BC = 3x + 5 and AC = 7x – 3 Equation: X = BC =

Angle Addition Postulate L N M Statement: + = K

Angle Addition Postulate--Example A B C Statement: D Equation: Find m DBC if : DBC = (3x + 10) o ABC = (6x – 2) o ABD = (2x) o X = m DBC =

Distance on a Coordinate Plane To find the distance between numbers on a coordinate plane, use the distance formula. REMEMBER Distance is NEVER NEGATIVE!!

Find the distance from points A (-2, 5) to B (1, -3)

Midpoints on a coordinate plane

Find the distance and the midpoint A (-2,5) B (1, -3)

Find a point that is 1/3 the distance between (6,-4) (2, -2)

The midpoint of segment AD is point C Find point D, if A is (-4, 2) and C is (0, 6)