Question

4. AABC = ADBC by SSS. Select one set of corresponding parts that could be marked congruent by CPCTC.B.A11CDO CBDAO ZA ZDOZCZ ZBO ACBC

Answer 1

We are given two triangles that are congruent and we are asked to mark the parts that are congruent by CPCTC, this stands for Corresponding Parts of Congruent Triangles are Congruent. This means that when two triangles are congruent then their corresponding sides and angles are also congruent.

We notice that the following segments are corresponding segments and therefore congruent:

`\begin{gathered} AB=BD \\ AC=DC \\ CB=CB \end{gathered}`

And also the following angles are corresponding angles and therefore congruent:

`\begin{gathered} \angle A=\angle D \\ \angle ABC=\angle DBC \\ \angle ACB=\angle DCB \end{gathered}`

Therefore, from CPCTC we know that the corresponding parts are:

`\angle A=\angle D`