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How to do geometry proofs I believe it's the subtraction property

How to do geometry proofs I believe it's the subtraction property-example-1

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Hi there!
You need to prove that line segment DE ≅ GH.

You're given:
Line segment DJ ≅ line segment GJ;
E is the midpoint of line segment DF;
H is the midpoint of line segment GJ.

You can justify that line segment DE ≅ line segment GH with the midpoint definition, which is a point on a line segment that divides it into two equal parts. The two equal parts in this case are line segments DE and GH, so DE ≅ GH.

Please comment with any questions!
User Siddharth Agrawal
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