Question

proofs.. geometry.. please help D;

Answer 1

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

Answer 2

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. segment BD ≅ segment BD 3. Reflexive Property
4. 4. Side-Angle-Side (SAS) Postulate
5. ∠BAC ≅ ∠BCA 5. CPCTC


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

ΔABD ≅ ΔABC

ΔABC ≅ ΔCBD

ΔABD ≅ ΔCBD

Answer 3

Law of Sines.

Answer 4

explain?

Answer 5

@robtobey

Answer 6

http://www.mathsisfun.com/algebra/trig-sine-law.html

Answer 7

AB/sin(C) = BC/sin(A)
AB = BC is given.
sin(C) = sin(A)
C = A

Answer 8

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