This image contains a graph of triangle ABC and two related questions. Let's break down each part:

Part A: Midsegment Parallel to AC

The task is to identify the endpoints of the midsegment parallel to line segment AC. From the image, the coordinates for the midsegment endpoints are marked as (3.5, -2) and (1.5, 1). The midsegment connects the midpoints of two sides of the triangle, which are parallel to AC.

Part B: Measure of ∠CFD

In the second part, we are given that angle A of triangle ABC is 64° and point D is the midpoint of side AB, while point F is the midpoint of side CB. The task asks to find the measure of angle ∠CFD. Based on the properties of midsegments and angle relationships, the correct answer from the choices is 116°.

Would you like further explanation or more details about how to approach these types of problems?

Here are some related questions you might find helpful:

1. How can you use the properties of midsegments in triangles to find the length of a side?
2. What is the relationship between corresponding angles and parallel lines in geometry?
3. How does the midpoint formula help in finding the coordinates of midpoints in geometric figures?
4. What is the significance of a triangle’s interior angles when solving for other angles created by midsegments?
5. How do you apply angle bisector properties in triangle geometry?

Tip: When working with midsegments in triangles, remember that the midsegment is always parallel to one side of the triangle and half the length of that side. This can help you solve for lengths and angles more easily.