Question

Which statement is an example of the transitive property of congruence?

O A. If AKLME APQR, then APQR=ASTU.
O B. If AKLME APQR and APOR=ASTU, then AKLME ASTU.
C. AKLM: AKLM.
O D. If AKLME APOR, then APORE AKLM.

Answer 1

B. If ΔKLM ≅ ΔPQR and ΔPQR ≅ ΔSTU, then ΔKLM ≅ ΔSTU

Explanation:

The transitive property in general says ...

if a=b and b=c, then a=c

The transitive property of congruence replaces the equal sign with a congruence symbol, and replaces a, b, c with any geometric figure. Here, the geometric figures used are triangles KLM, PQR, and STU.

If ΔKLM ≅ ΔPQR and ΔPQR ≅ ΔSTU, then ΔKLM ≅ ΔSTU