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The proof that ΔACB ≅ ΔECD is shown.

Given: AE and DB bisect each other at C.
Prove: ΔACB ≅ ΔECD

Triangles A B C and C D E share common point C.

A flow chart has 5 boxes with arrows facing downward connecting the boxes. Each of the boxes are labeled. Box 1 contains line segment A E and line segment B E bisect each other at C and is labeled given. Box 2 contains line segment A C is-congruent-to line segment E C and is labeled definition of bisector. Box 3 contains question mark and is labeled vertical angles theorem. Box 4 contains line segment D C is-congruent-to line segment B C and is labeled definition of bisector. Box 5 contains triangle A C B is-congruent-to triangle E C D and is labeled SAS.

What is the missing statement in the proof?

∠BAC ≅ ∠DEC
∠ACD ≅ ∠ECB
∠ACB ≅ ∠ECD
∠BCA ≅ ∠DCAThe proof that ΔACB ≅ ΔECD is shown.

Given: AE and DB bisect each other at C.
Prove: ΔACB ≅ ΔECD

Triangles A B C and C D E share common point C.

A flow chart has 5 boxes with arrows facing downward connecting the boxes. Each of the boxes are labeled. Box 1 contains line segment A E and line segment B E bisect each other at C and is labeled given. Box 2 contains line segment A C is-congruent-to line segment E C and is labeled definition of bisector. Box 3 contains question mark and is labeled vertical angles theorem. Box 4 contains line segment D C is-congruent-to line segment B C and is labeled definition of bisector. Box 5 contains triangle A C B is-congruent-to triangle E C D and is labeled SAS.

What is the missing statement in the proof?

∠BAC ≅ ∠DEC
∠ACD ≅ ∠ECB
∠ACB ≅ ∠ECD
∠BCA ≅ ∠DCA

Respuesta :

Answer:

C. angle ACB is congruent to angle ECD

Step-by-step explanation:

If you drew it out, all you had to figure out from the proof was what a vertical angle is and where are those angles.

Brainliest?

Hope this helps.

Just took the test edu2020

MrRoyal

Congruent triangles are similar triangles.

The statement that completes the proof is [tex]\mathbf{\angle ACB \cong ECD}[/tex]

From the complete question (see attachment), we have the following highlights

  • [tex]\mathbf{AC\cong CE}[/tex].
  • [tex]\mathbf{BC\cong CD}[/tex]

The angle at point C of both triangles are congruent

i.e. [tex]\mathbf{\angle ACB \cong ECD}[/tex]

This means that the missing statement of the proof is that the angles at C of both triangles are congruent.

Hence, the statement that completes the proof is [tex]\mathbf{\angle ACB \cong ECD}[/tex]

Read more about congruent triangles at:

https://brainly.com/question/4364304

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