Question

Triangle B C D is congruent to triangle F G H. If side C B is congruent to side G F and side B D is congruent to side F H, then which angle is used to show the SAS Postulate?

angle B C D and angle F G H

angle B D C and angle F H G

angle C B D and angle G F H

angle D C B and angle H G F

Answer 1

The correct answer is: Angle ∠CBD and angle ∠GFH

Explanation:

In ΔBCD ≅ ΔFGH

CB ≅ GF

BD ≅ FH

In ΔBCD ,angle between BD and CB is ∠CBD.

In ΔFGH ,angle between GF and FH is ∠GFH.

Angles which are used to show the SAS (side-angle-side) Postulate will be:

∠CBD ≅ ∠GFH

Answer 2

Angle CBD and angle GFH

Explanation:

As according to SAS postulate,

To proof any two triangles congruent to each other, the two sides and the angle between these two sides of one triangle must be congruent to two sides and angle between these two sides of second triangle.