153k views
0 votes
What degree of rotation will cause the triangle below to map onto itself ?

What degree of rotation will cause the triangle below to map onto itself ?-example-1

2 Answers

2 votes

D= 360

When you’re talking about rotation you go counterclockwise and each quadrant is another 90 degrees.

User Okrutny
by
7.7k points
4 votes

Answer:

The triangle is rotated 360° ⇒ answer D

Explanation:

* Lets revise some transformation

- If point (x , y) rotated about the origin by angle 90° anti-clock wise

∴ Its image is (-y , x)

- If point (x , y) rotated about the origin by angle 90° clock wise

∴ Its image is (y , -x)

- If point (x , y) rotated about the origin by angle 180°

∴ Its image is (-x , -y)

* There is no difference between rotating 180° clockwise or

anti-clockwise around the origin

- If point (x , y) rotated about the origin by angle 360°

∴ Its image is (x , y) the point itself

* There is no difference between rotating 360° clockwise or

anti-clockwise around the origin

* Now lets solve the problem

∵ The vertices of the triangle ABC are:

A is (-6 , 3) , B is (-5 , 7) , C is (-4 , 3)

∵ The triangle map onto itself

∴ A = A'

∴ B = B'

∴ C = C'

∴ The triangle is rotated 360° about the origin

User Austin Taylor
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories