Question

Please help me!!! Sorry the question is so long, the question is stated below:

Answer 1

Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side.

Given: ∆ABC

Prove: The midsegment between sides and is parallel to side .

Draw ∆ABC on the coordinate plane with point A at the origin (0, 0). Let point B have the ordered pair (x1, y1) and locate point C on the x-axis at (x2, 0). Construct point D so it is the midpoint of . Point D has coordinates at by the Midpoint Formula. Construct point E so it is the midpoint of . The ordered pair of point E is by the Midpoint Formula. The slope of is found to be 0 through the application of the slope formula: When the slope formula is applied to , its slope is also 0. Since the slope of and are identical, and are parallel by the Parallel Postulate.

What is the flaw in Gina’s proof?

Gina cannot construct the midpoint of a segment.

Segments DE and AC are parallel by definition of parallel lines.

The coordinates of D and E were found using the Distance between Two Points Postulate

The slope of segments DE and AC is not 0.

Answer 2

May someone please help me understand this?

Answer 3

Any input from those viewing????

Answer 4

Figured it out. :3