Find the coordinates of the image’s vertices.

a triangle with vertices l(–1, 5), m(–1, 7), and n(–8, 5) is rotated 270 counterclockwise about the origin.

a. l’(–5, 1), m’(–7, 1), and n’(–5, 8)
b. l’(1, 5), m’(1, 7), and n’(8, 5)
c. l’(5, 1), m’(7, 1), and n’(5, 8)
d. l’(5, –1), m’(7, –1), and n’(5, –8)

C. L' (5,1), M'(7,1) and N'(5,8)

Explanation:

For the rotation of a point 270° counterclockwise about the origin, the following rule applies:

(x , y) > (y , -x)

This means that, to get the image point:

1- We swap the values of the x and y coordinates in the original point

2- We change the sign of the x-coordinate of the original point (which is the y-coordinate in the image)

Now, for the givens, we simply apply the above rule to get the image:

L is (-1 , 5) > L' is (5 , 1)

M is (-1 , 7) > M' is (7 , 1)

N is (-8 , 5) > N' is (5 , 8)

Hope this helps :)

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

true

step-by-step explanation:

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