Questions: 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 2 M is the vertex of a pair of congruent angles in the diagram. I is the vertex of a right angle. M is the vertex of a right angle. I is the midpoint of a segment in the diagram. M is the midpoint of a segment in the diagram. None of the above.

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 2 M is the vertex of a pair of congruent angles in the diagram. I is the vertex of a right angle. M is the vertex of a right angle. I is the midpoint of a segment in the diagram. M is the midpoint of a segment in the diagram. None of the above.
Transcript text: deltamath.com 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 2 $M$ is the vertex of a pair of congruent angles in the diagram. $I$ is the vertex of a right angle. $M$ is the vertex of a right angle. $I$ is the midpoint of a segment in the diagram. $M$ is the midpoint of a segment in the diagram. None of the above.
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Solution

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Solution Steps

Step 1: Analyze the Congruent Segments

The diagram shows that MI and MK have congruent markings. This means MI and MK are congruent segments.

Step 2: Identify the Midpoint

Since M is a point on segment KI and MI is congruent to MK, point M is the midpoint of KI.

Step 3: Analyze the Congruent Angles

The diagram indicates congruent angles at vertex I and at vertex M.

Step 4: Determine if Right Angles Exist

The markings on the angles at vertices I and M indicate congruence, but not necessarily right angles.

Final Answer

M is the midpoint of a segment in the diagram. M is the vertex of a pair of congruent angles in the diagram. I is the vertex of a pair of congruent angles in the diagram.

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