67.7k views
13 votes
Is ABC ~ DEF? Explain.

Is ABC ~ DEF? Explain.-example-1

2 Answers

5 votes

Answer:

All of the angles are congruent in both triangles

Explanation:

User JChristian
by
4.5k points
11 votes

The correct answer is Yes; one angle in ∆ABC is congruent to one angle in ∆DEF.

Here's why the other options are incorrect:

Yes; two angles in ∆ABC are congruent to two angles in ∆DEF: This is incorrect because only one pair of angles has been identified as congruent in the given information.

No; only one angle in ∆ABC is congruent to one angle in ∆DEF: This is also incorrect because the statement claims that there is only one congruent angle, while the information provided identifies two congruent angles (18°).

No; none of the angles in ∆ABC are congruent to any angles in ∆DEF: This is incorrect because the information explicitly states that one angle in each triangle is congruent (18°).

Therefore, based on the given information, only one angle in ∆ABC is congruent to one angle in ∆DEF.

User Rookie
by
4.7k points