#2**+1 **

Problem 13.

Given: Diameters BOD and COA.

To prove: Triangle(ABC) is congruent to Triangle(DCB).

The proof will include this:

1) Diameter(BOD) is congruent to Diameter(BOD) because all diameters of the same circle are congruent.

2) Angle(BOA) is congruent to Angle(DOC) because they are vertical angles.

3) Segment(AB) is congruent to Segment(DC) because they are chords of congruent angles in the same circle.

4) Segment(BC) is congruent to Segment(BC) by identity.

5) Triangle(ABC) is congruent to Triangle(DCB) by SSS.

geno3141
Apr 27, 2017

#4**+1 **

Problem 14:

Given: Chord(AC) and Chord(BD) intersect at E. Arc(AB) is congruent to Arc(CD)

To Prove: Triangle(ABC) is congruent to Triangle(DCB)

The proof can contain the following:

Chord(AB) is congruent to Chord(CD) because they are chords of congruent arcs.

Arc(BC) is congruent to Arc(BC) by identity.

Arc(ABC) is congruent to Arc(DCB) by addition.

Chord(AC) is congruent to Arc(BD) because they are chords of congruent arcs.

Chord(BC) is congruent to Chord(BC) by identity.

Triangle(ABC) is congruent to Triangle(DCB) by SSS.

geno3141
Apr 27, 2017