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


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. 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.

  1. 👍
  2. 👎
  3. 👁
  1. 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.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Geometry

    Quadrilateral ABCD is a parallelogram. If adjacent angles are congruent, which statement must be true? A. Quadrilateral ABCD is a square. B. Quadrilateral ABCD is a rhombus. C. Quadrilateral ABCD is a rectangle. D. Quadrilateral

  2. Math

    The bases of trapezoid ABCD are AB and CD. Let P be the intersection of diagonals AC and BD. If the areas of triangles ABP and CDP are 8 and 18, respectively, then find the area of trapezoid ABCD.

  3. math

    A rhombus ABCD has AB = 10 and m∠A = 60°. Find the lengths of the diagonals of ABCD.

  4. math

    (a) Construct a quadrilateral ABCD in which AB = 10cm , angle ABC = 120° , angle BAD = 60°, BC =7cm and AD = 11cm. (b) Measure and write the length of CD. (c) Within the quadrilateral ABCD draw the locus of points which are (i)

  1. Math

    Trapezoid ABCD is congruent to trapezoid EFGH. Which statement is true? Trapezoid ABCD and trapezoid EFGH are shown. Trapezoid ABCD is shown with side AB measuring 15 cm, side CD measuring 9 centimeters, and the height of

  2. geometry

    Are the polygons similar? If they are, write a similarity statement and give the scale factor. The figures are not drawn to scale ABCD ~ KLMN; 7.2:1.8 ABCD ~ KLMN; 3:1.8 ABCD ~ NKLM; 3:5.4 The polygons are not similar***

  3. math

    Suppose $ABCD$ and $EFGH$ are congruent parallelograms with $AD = 10$. If the area of $ABCD$ is $112$, find $EN$.

  4. geometry honors

    Can you prove ABCD is a parallelogram based on the given information? Explain. Given: x = 5, y = 4 Prove: ABCD is a parallelogram. The image consists of a quadrilatera ABCD with their sides AB, BC, CD, DA as 3x + 12, 7y - 8, 6x -

  1. Geometry

    Given: ABCD is a parallelogram;

  2. maths

    Given is a quadrilateral ABCD,diagonals AC and BDare such that AO=BO=CO=DO=3cm,where Ois point of intersection of AC and BD then quadrilateral ABCD is a rectangle State true or false with reason

  3. GEOmetry!!.....

    ABCD is a trapezoid with AB

  4. math

    Given: ABCD is a parallelogram AM , BN − angle bisectors DM = 4 ft, MN = 3 ft Find: The perimeter of ABCD

You can view more similar questions or ask a new question.