Thank You SOOOO Much!!!! You have helped me with so many other questions had always respond so quickly. I really appreciate the time you take to help me and so many other people who are struggling with math and instead of just giving them an answer you go step by step in the problem to make sure they understand. Thank You So Much!!!!
I was hoping you could go over my paragraph proofs for questions (b) and (c).
(b) The perimeter of the rectangle is the sum of the measurements of all sides. Rectangle 1 should be, 2(W+L)=2(x+y). Rectangle 2 should be, 2(W+L)=2(2x+2y)=2(2(x+y)=4(x+y)=2[2(x+y)]. Which then simplifies to 2 times the perimeter of Rectangle 1.
(c) The area of a rectangle is the product of the lengths of two sides. To find Rectangle 1’s area you would multiply (x)(y). For Rectangle 2 the area formula would be (kx)(ky)=k^2*xy. Which would make Rectangle 2 k^2 times the area of Rectangle 1.
My other paragraph proof for (b) was...But didn't know if it as correct.:
The perimeter of the rectangle is the sum of the measurements of all sides. Rectangle 1 should be, Perimeter(Recangle 1)=2x+2y. Rectangle 2 should be, Perimeter(Recangle 2)=2kx+2ky. Which then simplifies to 2 times the k(2x+2y)=k(Perimeter of Rectangle 1).
Sorry to bother you with this. Thank You!
EF¯¯¯¯¯ ∥ HG¯¯¯¯¯¯ = Definition of a parallelogram
? = When two parallel lines are cut by a transversal, alternate interior angles are congruent.
EF¯¯¯¯ ≅ HG¯¯¯¯ = The opposite sides of a parallelogram are congruent.
△EKF≅△GKH = ASA Congruence Postulate
EK¯¯¯¯ ≅ GK¯¯¯¯ =CPCTC
FK¯¯¯¯ ≅ HK¯¯¯¯
EG¯¯¯¯ bisects HF¯¯¯¯ nad HF¯¯¯¯ bisects EG¯¯¯¯ = Def. of bisector
Where the REASON says: When two parallel lines are cut by a transversal, alternate interior angles are congruent.
Which STATEMENT would it be?:
(A) ∠EKF ≅ ∠HKF
(B) ∠FEK ≅ ∠HGK
∠EFK ≅ ∠GHK