If triangles abc and xyz are in perspective, name or describe the points that must be collinear according to the desargues’ theorem. a. ab and xz, ac and xy, bc and yz c. ab and bc, ac and xz, bc and yz b. ab and xy, ac and xz, bc and yz d. ab and xy, ac and xy, bc and yz  

b. AB and XY, AC and XZ, BC and YZ.

Step-by-step explanation:

Given

two triangles ABC and XYZ

Corresponding side of AB is XY.

Corresponding side of BC is YZ.

Corresponding side of AC is XZ.

Desargues theorem: If two triangles ABC and A'B'C' in a plane .

The line AA', BB' and CC' intersect at a single point if and only if the intersection of corresponding sides (AB.A'B') ,(BC,B'C') and ( AC, A'C')  lie on a single line.

Therefore, in given triangles ABC and XYZ  the line AX, BY, CZ intersect at a single point .

Then the intersection of corresponding sides (AB,XY), (BC,YZ) and ( AC, XZ) lie on a single line.

By Desargues theorem w

we can say Side AB and XY, AC and XZ, BC and YZ are collinear.

Hence, option b is correct.

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows:

answer: give more info

step-by-step explanation: