Question

In the following triangles:


If $AB=DE,BC=EFandAC=DF$ then:

• A. $\angle C=\angle F,\angle A=\angle Eand\angle B=\angle D$
• B. $\angle A=\angle F,\angle C=\angle Eand\angle B=\angle D$
• C. $\angle C=\angle F,\angle A=\angle Dand\angle B=\angle E$
• D. None of the above

Answer 1

The correct option is C $\angle C=\angle F,\angle A=\angle Dand\angle B=\angle E$

In triangles, ABC and DEF

$\because AB=DE,BC=EFandAC=DF$

By S.S.S congruency,

$△ABC\cong △DEF$

$\therefore \angle C=\angle F,\angle A=\angle Dand\angle B=\angle E$
[Corresponding parts of congruent triangles ]