Question

4 in which figures is ∠1 ≅ ∠2? select all the correct answers.

Explanation:

Step1: Analyze Figure A

In Figure A, ∠1 and ∠2 are alternate interior angles. When two parallel lines are cut by a transversal, alternate interior angles are congruent. So, ∠1 ≅ ∠2.

Step2: Analyze Figure B

In Figure B, ∠1 and ∠2 are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent. So, ∠1 ≅ ∠2.

Step3: Analyze Figure C

In Figure C, ∠1 and ∠2 are not formed by parallel lines cut by a transversal in a way that would make them congruent.

Step4: Analyze Figure D

In Figure D, ∠1 and ∠2 are vertical angles. Vertical angles are always congruent. So, ∠1 ≅ ∠2.

Step5: Analyze Figure E

In Figure E, ∠1 and ∠2 are not formed by parallel lines cut by a transversal in a way that would make them congruent.

Step6: Analyze Figure F

In Figure F, ∠1 and ∠2 are not formed by parallel lines cut by a transversal in a way that would make them congruent.

Answer:

A. Option A, B. Option B, D. Option D