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Big Ideas Math Geometry, 2014 View details

6. Proving Triangle Congruence by ASA and AAS

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Exercise 34 Page 276

Use the Midpoint Formula.

(3,2)

Practice makes perfect

To find the midpoint, we can use the Midpoint Formula. (x_1+ x_2/2,y_1+ y_2/2)The coordinates of the given endpoints are ( 1,0) and ( 5,4). Let's use these to find the coordinates of the midpoint.

M(x_1+ x_2/2,y_1+ y_2/2)

SubstitutePoints

Substitute ( 1,0) & ( 5,4)

M(1+ 5/2,0+ 4/2)

AddTerms

Add terms

M(6/2,4/2)

CalcQuot

Calculate quotient

M(3,2)

The midpoint is located at (3,2).