In exercise 17-24, re the diagram
16(1,
1)
(4,
5)
12 find the perimeter of acde
18. find the perimeter of rectangle bce
19. pind the perimeter of labe
20. find the perimeter of quadrilateral abcd
21. find the area of cde
22. find the area of rectangle bcef
13. find the area of
abf
2. find the area of quadrilateral abcd

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

answer: simile

step-by-step explanation: the difference between simile and metaphor is a simile describes with "as" and "like"

you should think about the answers you give and expect the same form your questions.