Geometric Proof

[Twins]

Can u help me please with three of these problems
Thank you so much

1. make a flow chart proven the conjecture that the diagonals of a rectangle are congurent.
Given: Rectangle YOGI with diagonals YG and OI.
Show: diagonal YG is congruent to diagonal OI.


2. make a flow chart provern the conjecture that if the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
Given: Parallelogram BEAR, with diagonals BA is congruent to diagonal ER.
Hint: the diagonals divide the rectangle into 4 equilateral triangles with a diagonal bisecting either triangle. Triangles EAR, EBR, AEB, and ARB are congruent.
Show: BEAR is a rectangle


3. make a flow chart provern the Isosceles Trapezoid Conjecture that the base angles of an isosceles trapezoid are congruent.
Given: Isosceles trapezoid PART with line PA parallel to line TR and line PT congruent to line AR, and line TZ constructed parallel to line RA
Show: angle TPA is congruent to angle RAP.

Please help me I reall apperciate it.

 

[jolly]

http://www.freemathhelp.com/forum/viewtopic.php?t=12146

I want you to read the first one and the second from the last.

 

[robbwrr]

A Property of Rectangles and Parallelograms: Opposite sides
are congruent! Hints:

1) use the given and properties of rectangles to
prove by SAS that triangles YIG and OGI are congruent.


2) use the given and properties of parallelograms to show
that the 4 triangles named in your hint are all congruent
to one another by SSS ( they are not equilateral). Note what
crucial angles are now congruent!


3)Assuming Z is between P and A , then use the given and
construction, then angles TZP and RAZ are congruent and
TRAZ is a parallelogram. Then show why Triangle TZP
is Isosceles. use these to relate your base angles...