# Geomentry

posted by Mack

What is the converse of the theorem statement: If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

If two sides of a triangle are divided in the same proportion, then the line connecting the dividing points on the sides is parallel to the third side of the triangle.

But how do I write it? Example: is it

A. In triangle QRS, ig RT/TQ=RU/US, then side TU is parallel to side QS.

B. In triangle ABC, if CD=DA and CE=EB,then side DE is parallel to side AB and DE=1/2AB

c. In triangle QRS, if side TU is parallel to side QS, then RT/TQ=RU/US.

HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

## Similar Questions

1. ### Geomentry

What is the converse of the theorem statement: If a line divides two sides of a triangle proportionally, then it is parallel to the third side. see the other post.
2. ### Geomentry

What is the converse of the theorem statement: The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long.
3. ### Math

How do I figure out this question? Is there a formula I need?
4. ### Geometry - Conditional Statements/Proof

Rewire each statement as two if-then statements that are converses of each other. 18. Two angles are supplementary if and only if the sum of their measures is 180. 20. (x-4)(x+6) = 0 if and only if x = 4 or x = -6 22. Theorem 2-5 may …
5. ### Geometry

Draw a counter example that shows that the statement, "if a segment is parallel to one side of a triangle and intersects two other sides then it must be the midsegment of that triangle" is false. Please explain how i can prove this …
6. ### math

according to the triangle inequality, the length of the longest side of a triangle bust be less than the sum of the lengths of the other two sides. the two shortest sides of a triangle measure 3/10 and x + 1/5 and the longest measures …
7. ### geometry (check answers)

Determine whether you can construct many, one, or no triangle(s) with the given description. a) a triangle with angle measures of 50°, 70°, and 100° no b) a triangle with one angle measure of 60° and one 4-centimeter side no c) …
8. ### Geometry

Theorem: A line parallel to one side of a triangle divides the other two proportionately. In the figure below, segment DE is parallel to segment BC and segment EF is parallel to AB: The figure shows triangle ABC with segments DE and …
9. ### Math, Ms. Sue Help asap plss

Can the numbers 24, 32, and 40 be the lengths of three sides of a triangle?
10. ### Geometry

The following two-column proof with missing statements and reasons proves that if a line parallel to one side of a triangle also intersects the other two sides, the line divides the sides proportionally: Statement Reason 1. Line segment …

More Similar Questions