Solve the following problems:
given: m∠dab=m∠cba
m∠cab=m∠dba
ca=13 cm
find: db

  DB = 13 cm

Step-by-step explanation:

ΔCAB ≅ ΔDBA by ASA, so CA ≅ DB by CPCTC.

CA = 13 cm, so DB = 13 cm.

Step-by-step explanation:

Given : m(∠DAB) = m(∠CBA)

            m (CAB) = m(∠DBA)

            and CA = 13 cm

To find : measure of DB

In ΔCAB and ΔDAB

m(∠DAB) = m(∠CBA)     [given]

m(∠CAB) = m(∠DBA)     [given]

and AD is common in both the triangles.

Therefore, ΔCAB and ΔDAB will be congruent.    [By ASA property]

Therefore, CA = DB = 13 cm.

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.