66.9k views
2 votes
Determine if the triangles are congruent. If so, write a congruence statement. Explain your reasoning in a short paragraph proof.

User Calista
by
7.6k points

1 Answer

2 votes

Final answer:

Two triangles are congruent if all corresponding sides and angles are equal. To determine if the triangles are congruent, we need to compare the measures of corresponding sides and angles. If all corresponding sides and angles are equal, we can write a congruence statement.

Step-by-step explanation:

Two triangles are congruent if all corresponding sides and angles are equal. To determine if the triangles are congruent, we need to compare the measures of corresponding sides and angles. If all corresponding sides and angles are equal, we can write a congruence statement.

Let's take the example of triangle ABC and triangle DEF:

  • Side AB is equal to side DE
  • Side BC is equal to side EF
  • Side AC is equal to side DF
  • Angle A is equal to angle D
  • Angle B is equal to angle E
  • Angle C is equal to angle F

Therefore, we can write the congruence statement as triangle ABC is congruent to triangle DEF.

User Brendan Frick
by
7.9k points