Question

directions
to complete this assignment you will be answering a series of questions centered around special angles. choose the response that answers the question best.
feeling stuck on a question?

• revisit topic 6.2 video lessons
• draw the angles

question 1
consider the figure below.
which of the following statements is true?
angle a and c are congruent because they are vertical angles
angles a and b are congruent because they are adjacent angles.
angles a and d are congruent because they are adjacent angles.
there is not enough information given in the figure.
question 2

Explanation:

Step1: Recall vertical - angle property

Vertical angles are formed when two lines intersect. Vertical angles are congruent. In the given figure, angles a and c are vertical angles, and angles b and d are vertical angles.

Step2: Analyze each option

• Option 1: Angle A and C are vertical angles. By the vertical - angle theorem, vertical angles are congruent. So, this option is correct.
• Option 2: Angles A and B are adjacent angles. Adjacent angles are not necessarily congruent. They share a common side and a common vertex.
• Option 3: Angles A and D are adjacent angles. Adjacent angles are not necessarily congruent.
• Option 4: There is enough information to determine the relationship between the angles based on the vertical - angle property.

Answer:

Angle A and C are congruent because they are vertical angles.