Geometry

posted by .

Can some one please check these for me.Thanks
Angle DEF is similar to Angle HJK and the scale factor of angle DEF to anle HJK IS 5/2. If EF =15 FIND JK
Here is what I came up with Am I correct
5/2 = EF/JK
5/2 =15/JK
5(JK)=30
JK=30/5
JK=6

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 congruent 6. Transitive prop 7 . AB=BC 7. Sides oposite are congruent angles
8.<1 & <2 8. Cor.parts are eual
9. AB=BC=CD=DA 9. ABCD is a rhombus

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geometry

    Angle DEF is similar to Angle HJK and the scale factor of angle DEF to anle HJK IS 5/2. If EF =15 FIND JK Here is what I came up with Am I correct 5/2 = EF/JK 5/2 =15/JK 5(JK)=30 JK=30/5 JK=6 Thanks much
  2. Geometry

    The scale factor of triangle DEF to triangle HJK is 5/2. If EF =15 find JK EF : JK = 5 : 2 15 : JK = 5 : 2 15 * 2 = JK * 5 30 = 5(JK) 5(JK) / 5 = 30 / 5 JK = 6 Am I CORRECT ON THIS ONE?
  3. geometry

    can one tell if two triangles are congruent if they are given only the angles and all of them are congruent to one another?
  4. Geometry

    Triangle DEF ~ Triangle HJK, and the scale factor of Triangle DEF to Triangle HJK is 5/2. If EF=15, find JK
  5. math, functions

    stefan has set up a right triangle EFG on the side of a river such that FG measures 20m and angle DEF measures 60 degrees. EG bisects angle DEF. determine the width of DG.
  6. Math

    If triangle ABC is similar to triangle DEF and the scale factor is 1:2 correspondingly, what is the measure of angle D is the measure of angle A is 45 degrees?
  7. Trigonometry/Geometry

    In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, …
  8. Trigonometry/Geometry - Law of sines and cosines

    In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, …
  9. Precalculus

    In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, …
  10. Geometry

    For 2 similar triangles ABC and DEF, the scale factor of ABC to DEF is 2:3. If AB=2(BC) and DE=3(BC), what is EF?

More Similar Questions