Question

Triangle EFG is congruent to triangle YXZ by ASA. The congruent parts already marked in the picture. What other corresponding parts can be marked congruent by CPCTC? Select all that apply.
EG ≅ YX
∠F ≅ ∠X
∠E ≅ ∠G
∠F ≅ ∠Z
∠G ≅ ∠X
GF ≅ ZX
EF ≅ YX
EF ≅ ZY

Answer 1

Given:

Triangle EFG is congruent to triangle YXZ by ASA.

To find:

The other corresponding parts can be marked congruent by CPCTC.

Solution:

We have,

$\Delta EFG\cong \Delta YXZ$

We know that the corresponding parts of congruent triangles are congregant (CPCTC). So,

$\angle E\cong \angle Y$

$\angle F\cong \angle X$

$\angle G\cong \angle Z$

$EF\cong YX$, it is also written as $FE\cong XY$

$FG\cong XZ$, it is also written as $GF\cong ZX$

$EG\cong YZ$, it is also written as $GE\cong ZY$

Therefore, the correct options are 2, 6 and 7.