Question

Given: BAT=CAT

Which statement is true by CPCTC?
A. CT=AT
B. TAC=BTA
C. BAT= CAT
D. BT=TA

Answer 1

Answer: C. ∠BAT=∠CAT

Explanation:

• CPCTC is an acronym for corresponding parts of congruent triangles are congruent.
• CPCTC tells that if two triangles are congruent then the corresponding parts of the triangles are congruent.

If ΔBAT≅ΔCAT

Then its corresponding parts are equal such that:

∠BAT=∠CA, ∠ABT=∠ACT and ∠ATB=∠ATC

BA=CA , BT=CT and AT=AT

Therefore, C is the right answer.

Answer 2

Corresponding sides and angles of congruent triangles are congruent.


`\triangle{BAT} \cong \triangle{CAT} \\ \\BA=CA \\AT=AT \\BT=CT \\ \angle{TBA}=\angle{TCA} \\ \angle{BAT}=\angle{CAT} \\ \angle{ATB}=\angle{ATC}`

So, the answer is
`\angle{BAT}=\angle{CAT}`