Write a two-column proof. Given: Triangle ACD is isosceles; <1 is congruent to <3 Prove: Segment AB || Segment CD

The answer is given below

Step-by-step explanation:

Statement                                                        Reason

Triangle ACD is isosceles                               Given

<1 = <3                                                               Given that <1 is congruent to <3

∠3 = ∠4                                                             Base angles of an isosceles

.                                                                          triangle is equal

∠1 = ∠4                                                              By substitution, since ∠1 = ∠3

.                                                                          and ∠3 = ∠4, therefore ∠1 = ∠4

Segment AB || Segment CD                           Alternate interior angle theorem   .                                                                         Since ∠1 = ∠4 (alternate

,                                                                          interior angles)

Alternate interior angle theorem states that if two lines and a transversal line form alternate interior angles that are equal, then the two lines are parallel to each other.

AB and CD and transversal AD form alternate interior angles (∠1 and ∠4), therefore AB and CD are parallel

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30,   so 6/30 = .2  

if you do 1/5 it also equals .2, so that is the answer.