230k views
4 votes
Complete each short proof by providing the reason.

Complete each short proof by providing the reason.-example-1
User Mob
by
3.6k points

2 Answers

6 votes

Answer:

Transitive property of congruence

Explanation:

Here

  • XY is congruent to TV
  • TV is congruent to TK

Hence

  • XY is congruent to TV is congruent to TK
  • XY is congruent to TK

Option B

User Takim
by
3.2k points
4 votes

9514 1404 393

Answer:

(b) Transitive property of congruence

Explanation:

The relations involved are all congruence relations, eliminating choices A and C.

The symmetric property tells you ...

if A ≅ B, then B ≅ A

It is not applicable in this case.

__

The applicable property is the transitive property of congruence:

if A ≅ B and B ≅ C, then A ≅ C.

_____

Additional comment

This is similar to, but distinct from, the substitution property of congruence:

if A ≅ B and A ≅ C, then B ≅ C.

User Peter Duijnstee
by
3.1k points