IDNStudy.com, ang iyong destinasyon para sa maaasahan at pangkomunidad na mga sagot. Tuklasin ang malalim na sagot sa iyong mga tanong mula sa aming komunidad ng mga bihasang propesyonal.

In ΔABC shown below, Line segment AB is congruent to Line segment BC:



Triangle ABC, where sides AB and CB are congruent



Given: line segment AB≅line segment BC



Prove: The base angles of an isosceles triangle are congruent.



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





Statement Reason

1. segment BD is an angle bisector of ∠ABC. 1. by Construction

2. ∠ABD ≅ ∠CBD 2. Definition of an Angle Bisector

3. 3. Reflexive Property

4. ΔABD ≅ ΔCBD 4. Side-Angle-Side (SAS) Postulate

5. ∠BAC ≅ ∠BCA 5. CPCTC





Which statement can be used to fill in the numbered blank space?

line segment BD ≅ line segment AC

line segment BD ≅ line segment BD

line segment AC ≅ line segment AC

line segment AD ≅ line segment DC


Sagot :