31.2k views
1 vote
Is ABCE A DEF? If so, name the congruence postulate that applies.BGiven:AAZBZEZCZFBC EFFECTIVE FA. congruent - SASB. congruent - ASAC. might not be congruentD. congruent - SSS

Is ABCE A DEF? If so, name the congruence postulate that applies.BGiven:AAZBZEZCZFBC-example-1

1 Answer

5 votes

From the information given,

angle B is congruent to angle E

angle C is congruent to angle F

line BC is congruent to line EF

One of the rules for congruent triangles states that

if any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA(Angle side angle) rule

By analysing the given information,

line BC is between angles B and C in triangle ABC

line EF is between angles E and F in triangle DEF

Thus, both triangles are congruent by the ASA rule

The correct option is

B. congruent - ASA

User Rwold
by
3.6k points