Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

BCEADGiven: E is the midpoint of AC and AC bisects BDProve: ADEAZABECWhat theorems/definitions are needed to get the 3 pieces of information on each triangle?Then select the theorem that will prove the triangles are congruent.Vertical angles are congruentDefinition of midpointO Alternate interior angles are congruent

BCEADGiven E Is The Midpoint Of AC And AC Bisects BDProve ADEAZABECWhat Theoremsdefinitions Are Needed To Get The 3 Pieces Of Information On Each TriangleThen S class=

Sagot :

Statements → Proof

1. E is the midpoint of AC. → Given

2. AE ≅ EC → Definition of Midpoint

Midpoint is a point that divides a line segment into two equal parts.

3. AC bisects BD → Given

4. BE ≅ ED → Definition of Segment Bisector

A segment bisector is a segment that cuts another line segment into two equal parts.

5. ∠BEC ≅ ∠DEA → Vertical angles are congruent.

5. ∆DEA ≅ ∆BEC → SAS Theorem

Hence, to prove ∆DEA ≅ ∆BEC, we need the following theorems/definition:

a. Definition of Midpoint

b. Definition of Segment Bisector

c. Vertical angles are congruent.

Lastly, the theorem that will prove that the triangles are congruent is SAS Theorem.

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.