Triangle abc is rotated 180o about the origin. use complete sentences to describe the relationship between the corresponding angles of triangle abc and its image.

The coordinates will change signs and the angles will be congruent.

Step-by-step explanation:

If a point (x,y) is rotated by 180° through the origin the coordinates of the new points are (-x,-y).That is the coordintes will change its sign.

If a triangle ABC is rotated by origin by 180°  to have an image A'B'C' the coordinates of  the new points will be opposite to the original points.

In any rotation the shape is preserved and the triangles are similar .Hence <A≅<A' ,<B ≅<B' and <C≅<C'.

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.