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Big Ideas Math Geometry, 2014 View details

6. Proving Triangle Congruence by ASA and AAS

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Exercise 36 Page 276

Use the Midpoint Formula.

(-3/2,-11/2)

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 ( -5,-7) and ( 2,-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 ( -5,-7) & ( 2,-4)

M(-5+ 2/2,-7+( -4)/2)

AddTerms

Add terms

M(-3/2,-11/2)

MoveNegNumToFrac

Put minus sign in front of fraction

M(-3/2,-11/2)

The midpoint is located at (- 32,- 112).