Question

which of the following statements must be true based on the diagram below? select all that apply. (diagram is not to scale.) answer attempt 1 out of 6 $overline{ca}$ is a segment bisector. $overline{ca}$ is an angle bisector. a is the vertex of two angles that are congruent to one another. c is the vertex of a right angle. a is the midpoint of a segment in the diagram. none of the above.

Explanation:

Step1: Analyze segment - bisector

There is no indication that $\overline{CA}$ divides any segment into two equal - length parts. So, $\overline{CA}$ is not a segment bisector.

Step2: Analyze angle - bisector

There is no mark or information suggesting that $\overline{CA}$ divides an angle into two equal - measure angles. So, $\overline{CA}$ is not an angle bisector.

Step3: Analyze congruent angles at A

There are two angles with vertex $A$ marked with the same number of tick - marks, which means $A$ is the vertex of two angles that are congruent to one another.

Step4: Analyze right - angle at C

There is no right - angle symbol at vertex $C$. So, $C$ is not the vertex of a right angle.

Step5: Analyze mid - point at A

There is no information indicating that $A$ is the mid - point of any segment in the diagram.

Answer:

$A$ is the vertex of two angles that are congruent to one another.