Question

URGENT!!!!!

Given: Point E is the midpoint of AC, and CE = DE.
Prove: AE =
3. AE = CE
DE
1. Point E is the midpoint of AC, and CE = DE.
2. AE = CE
4. AE = DE
Statements
1. Given
2. Midpoint Theorem
3.
Reasons
4.
Reasons:
Def. of midpoint
Def. of congruence
Reflexive Property
Symmetric Property
Transitive Property

Answer 1

A geometric proof that uses the midpoint and congruence properties to demonstrate AE equals DE.

Step-by-step explanation:

The geometric proof presented is to show that AE equals DE when point E is the midpoint of line segment AC, and lengths CE and DE are equal. A geometric proof that uses the midpoint and congruence properties to demonstrate AE equals DE.

The proof would typically proceed with the statements and reasons laid out in an organized manner, ensuring each step logically follows from the previous through properties of congruence and definitions.

1. Point E is the midpoint of AC, and CE = DE. (Given)
2. AE = CE (Definition of midpoint)
3. AE = DE (Definition of congruence, since CE = DE from step 1, AE = CE from step 2, therefore, AE = DE by Transitive Property)

Through these steps, we have proven that AE is equal to DE using geometric properties.