contestada

E
Consider the diagram to the right below and complete the proof below.
A
Given:
E is the midpoint of AT
MZOGE = mzGOE
MZAEG > MZTEO
Prove: GE=0E and AG > TO
Reasons
Statements
1. mzoGE = M2GOE
1. Given
2. GE = OE
2.
3. E is the midpoint of AT
3. Given
4. AE ET
4. Definition of the midpoint of a line segment.
5. AE = ET
5. Congruent segments have equal length.
6. MLAEG > MZTEO
6. Given
7. AG > TO
7.

E Consider the diagram to the right below and complete the proof below A Given E is the midpoint of AT MZOGE mzGOE MZAEG gt MZTEO Prove GE0E and AG gt TO Reason class=

Respuesta :

MrRoyal

There are several proofs in geometry

The statements that complete the proof are:

  • Converse of isosceles triangle theorem.
  • Hin ge theorem

The proof of GE = OE

Considering triangle GED, the angles at G and E are congruent;

This means that: triangle GED is an isosceles triangle.

So, sides GE and OE are congruent by the converse of isosceles triangle theorem

The proof of [tex]\angle AEG > \angle TEO[/tex]

Considering triangles AEG and TEO, where GE = OE

Angle AEG is greater than angle TEO.

This is so because, the Hin ge Theorem states that given that the two sides of two different triangles are congruent and the angle included is different, then the larger angle is at the opposite of the longer side.

Hence, the statements that complete the proof are:

Converse of isosceles triangle theorem and Hin ge theorem

Read more about proofs at:

https://brainly.com/question/1788884

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