Question

pre-algebra ic sem 2 fall 2025
geometry basics
which pairs of angles are congruent because they are
vertical angles? choose two correct answers.
\\( \angle 10 \\) and \\( \angle 8 \\)
\\( \angle 8 \\) and \\( \angle 12 \\)
\\( \angle 1 \\) and \\( \angle 4 \\)
\\( \angle 7 \\) and \\( \angle 8 \\)
\\( \angle 3 \\) and \\( \angle 8 \\)

Explanation:

Step1: Recall vertical angles definition

Vertical angles are formed when two lines intersect. They are opposite each other and congruent.

Step2: Analyze each pair

• For $\angle10$ and $\angle8$: They are vertical angles as they are opposite each other at the intersection of two lines.
• For $\angle8$ and $\angle12$: They are not vertical angles.
• For $\angle1$ and $\angle4$: They are not vertical angles.
• For $\angle7$ and $\angle8$: They are adjacent angles, not vertical angles.
• For $\angle3$ and $\angle8$: They are vertical angles as they are opposite each other at the intersection of two lines.

Answer:

$\angle10$ and $\angle8$, $\angle3$ and $\angle8$