Questions on Geometry: Proofs in Geometry answered by real tutors!

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Question 1168400: X is the midpoint of WY, X is the midpoint of XZ, VZ ≈WY, Prove VX ≈ WX
Click here to see answer by ikleyn(52776) About Me 
Question 1170429: Given: \overline{CA}
CA
bisects \angle BAD∠BAD and \angle B \cong \angle D.∠B≅∠D.
Prove: \triangle ABC \cong \triangle ADC△ABC≅△ADC.
Click here to see answer by CPhill(1959) About Me 
Question 1170173: I have two right triangles that are connected at point x. On the right, there is triangle one which has point v at the top, w at the corner, and x which connects to triangle two which has point z at the bottom, connected to y which connects to x.
I am given that line WV is perpendicular to line WY. I am also given that line ZY is perpendicular to line WY, as well as line WV is congruent to ZY. I am supposed to prove that the triangles are congruent and X is the midpoint of line VZ.
I do have a 4th statement that I attempted to do. That is that angle W is congruent to angle Y because of the def. of perpendicularity. I also have about half of the fifth statement which is that angle 1 and angle 2 are congruent. I don't know how to prove this with reason. I need help.
Click here to see answer by CPhill(1959) About Me 
Question 1169211: Given that ∠FAB≅∠GED and C is the midpoint of AE¯¯¯¯¯, which of the following proves that △ABC≅△EDC?
https://thinkwell.cachefly.net/questionbank/95001-96000/95608/img/95608a.svg
A.
1.  ∠FAB≅∠GED (Given)2.  ∠BAC is the supp. of ∠FAB;  ∠DEC is thesupp. of ∠GED (Def. of Supp. ∠s)3.  ∠BAC≅∠DEC (≅ Supp. Thm.)4.  ∠ACB≅∠DCE (Vert. ∠s Thm.)5. C is the midpoint of AE¯¯¯¯¯ (Given)6.  AC¯¯¯¯¯≅EC¯¯¯¯¯ (Def. of mdpt.)7.  △ABC≅△EDC (by ASA Steps 3, 6, 4)

B.
1.  ∠FAB≅∠GED (Given)2.  ∠BAC is the supp. of ∠FAB;  ∠DEC is thesupp. of ∠GED (Def. of Supp. ∠s)3.  ∠BAC≅∠DEC (≅ Supp. Thm.)4.  ∠ACB≅∠DCE (Adj. ∠s Thm.)5. C is the midpoint of AE¯¯¯¯¯ (Given)6.  AC¯¯¯¯¯≅EC¯¯¯¯¯ (Def. of mdpt.)7.  △ABC≅△EDC (by ASA Steps 3, 6, 4)

C.
1.  ∠FAB≅∠GED (Given)2.  ∠BAC is the supp. of ∠FAB;  ∠DEC is thesupp. of ∠DEG (Def. of Supp. ∠s)3.  BC¯¯¯¯¯≅CD¯¯¯¯¯ (≅ Supp. Thm.)4.  ∠ACB≅∠BCE (Vert. ∠s Thm.)5. C is the midpoint of AE¯¯¯¯¯ (Given)6.  BC¯¯¯¯¯≅CD¯¯¯¯¯ (Def. of mdpt.)7.  △ABC≅△EDC (by SAS Steps 3, 1, 6)

D.
1.  ∠FAB≅∠GED (Given)2.  ∠BAC is the supp. of ∠FAB;  ∠DEC is thesupp. of ∠GED (Def. of Supp. ∠s)3.  BC¯¯¯¯¯≅CD¯¯¯¯¯ (≅ Supp. Thm.)4.  ∠ACB≅∠BCE (Vert. ∠s Thm.)5. C is the midpoint of AE¯¯¯¯¯ (Given)6.  BC¯¯¯¯¯≅CD¯¯¯¯¯ (Def. of mdpt.)7.  △ABC≅△EDC (by SAS Steps 3, 1, 6)
Click here to see answer by CPhill(1959) About Me 
Question 1167304: FP intersects XS at 0. Prove <1 and <2 are vertical angles. ​
Click here to see answer by ikleyn(52776) About Me 
Question 1166437: Prove the “ruler flipping lemma”: if f : l → R is a coordinate function for a line l, then the function f0, defined, for every point P ∈ l, by f0(P) = −f(P), is also a coordinate function for l.
Click here to see answer by ikleyn(52776) About Me 
Question 1168388: A cat has thirteen kittens. Eight of the kittens have white hair, six of the kittens have spots, and eight of the kittens have long tails. All of the kittens have at least one of these traits. One kitten is white with spots and a long tail. Three of the kittens are white with spots. Two kittens have spots and long tails. One kitten has white hair but does not have spots or a long tail.
A. Draw a Venn diagram for this problem.
B. How many kittens are white with long tails, but don't have spots?
Thank you
Click here to see answer by CPhill(1959) About Me 
Question 1168329: Write an indirect proof to prove Theorem 4-2: If there is a line and a point not on the line, then exactly one plane contains them.
Click here to see answer by CPhill(1959) About Me 
Question 1210360: A quadrilateral, STVR has an exterior angle VRX. Given angle XRV is congruent to angle RST, and angle RSV is congruent to angle TVS, prove that RSTV is a parallelogram.
Click here to see answer by Edwin McCravy(20054) About Me