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Big Ideas Math Integrated I, 2016 View details

6. Proving Triangle Congruence by ASA and AAS

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Exercise 35 Page 632

Use the Midpoint Formula.

(1,1)

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 ( -2,3) and ( 4,-1). Let's use these to find the coordinates of the midpoint.

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

SubstitutePoints

Substitute ( -2,3) & ( 4,-1)

M(-2+ 4/2,3+( -1)/2)

AddTerms

Add terms

M(2/2,2/2)

CalcQuot

Calculate quotient

M(1,1)

The midpoint is located at (1,1).