Question

Drag each description to the correct location to complete the flow chart proof. Given: . D is the midpoint of . . Prove: is an isosceles triangle.

Answer 1

To complete the flow chart proof, follow these steps: 1. Use the fact that D is the midpoint of XY to establish that DX = DY. 2. Show that triangle XYZ is isosceles by applying the information that XZ = ZY and DX = DY.

Step-by-step explanation:

To complete the flow chart proof, we need to show that triangle XYZ is isosceles, given that point D is the midpoint of segment XY. Here's a step-by-step process:

1. Using the information given, we know that D is the midpoint of XY. This means that DX = DY, as the midpoint divides the segment into two equal parts.
2. Now, consider triangle XYZ. DX = DY, and we also have XZ = ZY because the triangle is isosceles by the given statement. Therefore, we can conclude that triangle XYZ is an isosceles triangle because it has two sides that are equal in length.