anonymous
  • anonymous
I need help with this proof: In parallelogram ABCD, AE and CF are perpendicular to diagonal BD, and EF = 10 cm. If BD = 28 cm, then how long are DE and BF? Given: ABCD is Parallelogram, AE and CF are perpendicular to diagonal BD, EF = 10 cm. BD = 28 Prove: How long are DE and BF Statements Reasons 1 ABCD is a parallelogram 1 Given 2 AE and CF are perpendicular to diagonal BD. 2 Given 3 AD is parallel to BC 3 4 Angle ADE is congruent to angle CBF 4 5 Angle AED and angle CFB are right angles. 5 6 Angle AED is congruent to angle CFB 6 7 AD is congruent to BC 7 8 Triangle AED is congruent to triangle CFB 8 9 DE is congruent to BF 9 10 EF = 10 and BD = 28 10 11 BD = DE + EF + FB 11 12 28 = DE + 10 + FB 12 13 18 = DE + FB 13 14 DE = FB 14 15 18 = 2(DE) 15 16 9 = DE = FB 16
Geometry
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Loser66
  • Loser66
9
Loser66
  • Loser66
You get nothing if you don't make any question on it.
mathstudent55
  • mathstudent55
Are all the statements given in the problem and you need to supply the missing reasons?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
I am having trouble coming up with the reasons
mathstudent55
  • mathstudent55
Are the statements given in the problem?
mathstudent55
  • mathstudent55
Also, do you have a figure?
anonymous
  • anonymous
Yes - all the statements are provided and I just need to provide the reasons. Please see the figure attached. Thanks.
1 Attachment
mathstudent55
  • mathstudent55
|dw:1436807340394:dw|
mathstudent55
  • mathstudent55
|dw:1436807651551:dw|
Loser66
  • Loser66
Statements Reasons 1. ABCD is a parallelogram : Given 2. AE and CF are perpendicular to diagonal BD: Given 3. AD is parallel to BC: Property of parallelogram 4. Angle ADE is congruent to angle CBF : Alternate interior angles. 5. Angle AED and angle CFB are right angles: given 6. Angle AED is congruent to angle CFB: both are 90 degree from 5 7. AD is congruent to BC: Sides of parallelogram 8. Triangle AED is congruent to triangle CFB: conclusion from4,5,6,7 9. DE is congruent to BF : Result from8 10. EF = 10 and BD = 28: Given 11. BD = DE + EF + FB: From10 12. 28 = DE + 10 + FB: Replace the given information 13. 18 = DE + FB: Minus 10 both sides 14. DE = FB: From 9 15. 18 = 2(DE) 16. 9 = DE = FB : Divide both sides by 2and from14.
mathstudent55
  • mathstudent55
1. Given 2. Given 3. Definition of parallelogram. 4. Theorem of alternate interior angles of parallel lines 5. Definition of perpendicular lines 6. Theorem: All right angles are congruent 7. Theorem: opposite sides of a parallelogram are congruent 8. AAS 9. CPCTC 10. Given 11. Segment addition postulate 12. Substitution property of equality 13. Subtraction property if equality 14. Definition of congruent segments 15. Substitution 16. Division prop of equality & transitive prop of equality
anonymous
  • anonymous
Can someone help me with the attached proof? The statements are given, I am having problems with the Reasons 5, 6 and 7. Thanks
1 Attachment
mathstudent55
  • mathstudent55
Reason 2: A property of proportions. In my opinion, there are two statements missing here. Statement 2a. XR + RQ = XQ Reason 2a. Segment addition postulate Statement 2b. YS + SQ = SQ Reason 2b. Segment addition postulate Reason 3. Substitution property of equality Reason 4. If two triangles have 2 pairs of corresponding sides with proportional lengths and a pair of corresponding congruent included angles, then the triangles are similar. Reason 6. Definition of similar triangles. Reason 7. If two lines are cut by a transversal, such that corresponding angles are congruent, then the lines are parallel.

Looking for something else?

Not the answer you are looking for? Search for more explanations.