Wednesday

October 22, 2014

October 22, 2014

Posted by **aLEXANDRIA** on Sunday, January 8, 2012 at 3:14pm.

triangle SVX is congruent to triangle UTX

[the figure has a V on the top left corner, U on the top

right corner, X in the middle of four triangles inside

and S on the bottom left and T on the bottom right]

prove VUTS is a parallelogram

Thank You, I appreciate it! :) =) ^_^

- Parallelogram Question Writing a Proof -
**Damon**, Sunday, January 8, 2012 at 4:25pmSV parallel to UT

for convenience call angle SVX=UTX = A

but then VXT is a straight line (opposite interior equal angles A cutting parallel lines SV and UT)

similarly line SXU is a straight line.

then we know angle SXV = TXU = C

then C + angle VXU = C + angle SXT = 180

so

angle VXU = angle SXT and those triangles are congruent (SAS)

That means for example angle UVX =STX

and therefore angle SVU = STU

therefore parallelogram (opposite angles equal)

- Parallelogram Question Writing a Proof -
**aLEXANDRIA**, Sunday, January 8, 2012 at 6:52pmThank you for not only answering my question but helping me understand! Thank you I greatly appreciate your help! :)

**Answer this Question**

**Related Questions**

PARALLELOGRAM WRITING A PROOF - given: segment SV is parallel to segment TU and ...

geometry - I need to figure out this proof, the figure is two triangles forming ...

Writing a 2 column proof.. - I have no idea where to start! and I've got lots of...

geometry - given: segment AB is paralell to segment DC; segment AB is congruent ...

Geometry - Given: A(3,-1), B(5,2), C(-2,0), P(-3,4), Q(-5,-3), R(-6,2). Prove: ...

Geometry - Given: A(3,-1), B(5,2), C(-2,0), P(-3,4), Q(-5,-3), R(-6,2). Prove: ...

Geometry - Given: A(3,-1), B(5,2), C(-2,0), P(-3,4), Q(-5,-3), R(-6,2). Prove: ...

Congruence-creating a triangle - Three segments are given. I need to draw one ...

Geometry - According to the given information, segment AB is parallel to segment...

geometry - i have to proof that segment ad is congruent to segment ce. my givens...