A. ASA
B. SSS
C. SAS
D. ASA

Option C:

BD ≅ BD (reflexive property) and ΔABD ≅ ΔCBD (SAS).

Solution:

Given data: BD is the perpendicular bisector of AC.

In ΔABD and ΔCBD,

AB ≅ BC (BD is the bisector of AC)

∠ABD ≅ ∠CBD (Each 90°)

BD ≅ BD (reflexive property)

Therefore, ΔABD ≅ ΔCBD by SAS similarity theorem.

Hence option C is the correct answer.

BD ≅ BD (reflexive property) and ΔABD ≅ ΔCBD (SAS).

ΔABD and ΔCBD congruence by SAS theorem.

Hence proved.

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.