Worth 20
triangle abc has vertices a(–4,–2), b(–1,3), and c(5,0). triangle abc is rotated 180°counterclockwise about the origin to form triangle a′b′c′.
a. what are the coordinates of the vertices of triangle a′b′c′?
b. how could you determine the coordinates of the vertices of the image without using a graph?

Given vertices of the triangle ABC,

A(-4,-2), B(-1,3), and C(5,0),

A) By graphing,

The vertices of preimage of the vertices of A, B and C are shown as below.

B) Since, the rule of 180°counterclockwise about the origin,

If the triangle ABC is rotated 180°counterclockwise about the origin to form triangle A′B′C′.

The vertices of A'B'C' are,

A'(4,2), B'(1, -3), C'(-5,0)

< 6 cm to > 26 cm i believe

step-by-step explanation:

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1