Geometry
posted by DANIELLE on .
I really need some help please!!!!!
Am I on the right tract?
Given: ABCD is a parallelogram; <1 is congruent to <2
To Prove: ABCD is a Rhombus
Plan: Show <2 is congruent to < CAB.
hence CB is congruent to AB,
making ABCD a parallelogram
with consecutive sides congruent
PROOF
Statements Reasons
1. ABCD is a parallelogram 1.Given
<1 is congruent to <2
2. Draw segment from A to C 2. Two points determine exactly one line
3.< 1 & <3 are congruent 3. Alternate angles are congruent
4. AC bisects angle 1&2 4. Def. of Angle bisector
5 . m<DAB=m<BCD 5. Opposite angles in a parallelogram are equal
6. <2 & <3 are congruen6.Transitiveprop 7 .AB=BC 7. Sides oposite are
congruent angles
8.<1&<2 8. Cor.parts are equal
9.AB=BC=CD=DA 9. ABCD is a rhombus
I cant follow it without a diagram, sorry.
I sorry but I don't know how to use the computer to draw.

You don't need to know how to draw, copy and paste the image on the site. Or give the link of the image, and it can be viewed.