math help!!!?

Question

WRITE A 2 COLUMN PROOF FOR THE FOLLOWING PROBLEM.

GIVEN: D,O,AND G ARE THE MIDPOINTS IF THE SIDES OF TRIANGLE TCA

PROVE: GOAD IS A PARALLELOGRAM

WHAT THE DAIGRAM LOOKS LIKE- POINT C CONNECTS TO POINT A AND THEIR MIDPOINT IS POINT D. POINT A CONNECTS TO POINT T AND THERE MIDPOINT IS POINT O. POINT T IS CONNECTED TO POINT C AND THERE MIDPOINT IS POINT G. MIDPOINT D IS CONNECTED TO MIDPOINT G BUT NOT TO MIDPOINT O. MIDPOINT G IS CONNECTED TO MIDPOINT D AND MIDPOINT O. MIDPOINT O IS CONNECTED TO MIDPOINT G BUT NOT TO MIDPOINT D.

Answer 1

FIRST COLUMN
1. O is the midpoint of TA.
2. G is the midpoint of TC
3.Therefore OG || AD
4.D is the midpoint of AC
5.Therefore GD || OA
6.Therefore GOAD is a parallelogram

SECOND COLUMN
1. Given
2. Given
3. A line joining the midpoints of two sides of a triangle is parallel to the third side and equal to 1/2 the 3rd side.
4. Given
5. Same as Reason 3
6. Definition of a parallelogram

Answer 2

Hint: Theorem: the segment joining the midpoints of two sides of a triangle is parallel to the third side.

Answer 3

Geometry is fun. I personally love it, but I've already written my proof for the day. Just look at your picture and think about it. What does a shape have to have to be a parallelogram? How does the diagram prove that? Look at the sides. Look at the angles. Look at the midpoints. Good luck. Don't worry, Geometry brain freeze eventually wears off.

Answer 4

The triangle must be an equilateral : og and ad will be paralell and have the same magnitude. GD and OA will be parallel and have the same magnitude