Question

2. In rABC shown below, is congruent to .



The two-column proof with missing statement proves the base angles of an isosceles triangle are congruent.

Statement Reason
Segment BD is an angle bisector of ∡ABC. --- by Construction
( Blank ) --- Definition of an Angle Bisector
Segment BD ≅ Segment BD --- Reflexive Property
Triangle ABD ≅ Triangle CBD --- Side-Angle-Side (SAS) Postulate
∡ BAC ≅ ∡BCA --- CPCTC
Which statement can be used to fill in the numbered blank space? (4 points)
∡ABD ≅ ∡DBC
∡BDA ≅ ∡BDC
∡CAB ≅ ∡ACB
∡DBA ≅ ∡CDB

Answer 1

This is the image

Answer 2

It should read;
2. in rABC shown below, segment AB is congruent to BC

Answer 3

@dpaInc Could you look at this please?

Answer 4

It's fine if you don't understand it, I was just curious as to whether you did understand it or not.

Answer 5

do you want to know what goes in the ( blank ) ??

Answer 6

Yes. These are the choices;
∡ABD ≅ ∡DBC
∡BDA ≅ ∡BDC
∡CAB ≅ ∡ACB
∡DBA ≅ ∡CDB

Answer 7

If you do understand it, could you explain it so I know how to do it in the future?

Answer 8

yes... it's that first one... becuase the reason is definition of angle bisector... those are the two angles that are congruent when you create the angle bisector.

Answer 9

Okay! That makes sense. Thanks so much!