Geometry Proofs

Question

Fill in the missing reasons for the following statements

Given: Triangle ABC is isosceles and BD is the perpendicular bisector of AC.

Prove: ∠A≅∠C

Statement 1. △ ABC is isosceles. Reason 1. Given

Statement 2: BD is the perpendicular bisector is AC. Reason 2. ?

Statement 3: Line AB ≅Line CB. Reason 3: ?

Statement 4: Line BD ≅ Line BD. Reason 4. ?

Statement 5: Line AD ≅ Line CD. Reason 5. ?

Statement 6: △ABD ≅ △ CBD. Reason 6. ?

Statement 7: ∠A≅∠C. Reason 7.?

Word Bank: Given , Given, Reflexive Property, Definition of a Bisector, SSS, Definition of Isosceles Triangle, and CPCTC

Answer 1

You should draw a picture, mark up the triangle and be sure for yourself:

2.GIVEN

3.DEFINITION OF ISOCELES TRIANGLE

4.Reflexive Property

5.Definition of a Bisector

6.SSS

7.CPCTC