Wednesday

April 1, 2015

April 1, 2015

Posted by **DANIELLE** on Monday, June 18, 2007 at 11:41am.

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.

**Answer this Question**

**Related Questions**

Geometry - Given: ABCD is a parallelogram; <1 is congruent to <2 To Prove...

Geometry - Can some one please check these for me.Thanks Angle DEF is similar to...

geometry - Given: QRST is a parallelogram. Prove: QRST is a square. Complete ...

geometry - Can you prove ABCD is a parallelogram based on the given information...

geometry honors - Can you prove ABCD is a parallelogram based on the given ...

geometry theorems - I have six questions which will be on a test two weeks from ...

Geometry - Given quadrilateral ABCD,ABllDC, diagonal AC. we can prove that angle...

Geometry - Given quadrilateral ABCD,ABllDC, diagonal AC. we can prove that angle...

GEOMETRY - Reflective sets of angles Given: <ABC is congruent to <EFG <...

Geometry - Reflective sets of angles Given: <ABC is congruent to <EFG <...