What are the coordinates of the orthocenter of △abc with vertices at a(1, 2), b(1, 6), and c(5, 6)?

(1,6)

Step-by-step explanation:

We are given that the vertices of triangle ABC are  A at (1,2),B at (1,6) and C at (5,6).

We have to find the coordinates of the orthocenter.

Distance formula:

Using distance formula

Hence, the triangle is a right triangle because it satisfied Pythagoras theorem

The orthocenter is the intersection of three  altitudes of triangle .The orthocenter of right triangle is the vertex of triangle .

The vertex of triangle is at B.

Therefore, the ortho-center of triangle ABC is B(1,6).

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.