Given: Point C is the midpoint of AB¯¯¯¯¯. AC=7x−10; CB=3x+10

Prove: AC=25

Drag and drop reasons into the boxes to correctly complete the proof.

Statement Reason
Point C is the midpoint of AB¯¯¯¯¯. Given
AC=7x−10; CB=3x+10 Given
AC=CB Definition of midpoint
7x−10=3x+10 Response area
4x−10=10 Response area
4x=20 Addition Property of Equality
x=5 Response area
AC=7(5)−10 Substitution Property of Equality
AC=35−10 Simplify.
AC=25 Simplify.