Question

One vertex of a triangle is located at (0,5) on a coordinate
grid. After a transformation, the vertex is located at (5,0).
Which transformations could have taken place? Select
two options.
Ro, 90°
Ro, 180°
Ro, 270°
U
Ro -90°
Ro -180°

Answer 1

Answer:  Ro, 270°   and   Ro -90°

Step-by-step explanation:  If the vertex is at 5 on the y-axis at (0,5) and the transformation has moved the vertex to (5,0) it is now at +5 on the x-axis. This is a rotation around the origin, Rotation notation Ro.

This is fairly easy to visualize: like the hand of an analog clock moving from 12 o'clock to 3 o'clock.

In geometry, rotations are given in degrees, moving counter-clockwise. There are 360° in a circle.

Moving 3/4 of the way around the circle counterclockwise.  

Multiply(3/4)(360) =  270. This is a positive rotation, counter-clockwise

Clockwise, it is 1/4 of the circle, so Multiply (1/4)(360)= 90  But remember to add the negative sign because clockwise is considered a negative rotation.

Ro, -90°

Answer 2

The transformations that could have taken place are Ro, 270° and Ro -90°

How to determine the transformations

The vertex of the triangle is given as: (0,5)

After transformation, the vertex of the image is given as: (5,0)

The transformation follows the rule:

$(x,y) \to (y,x)$

The above rule represent:

• 90 degrees counterclockwise rotation
• 270 degrees clockwise rotation

Hence, the true statements are Ro, 270° and Ro -90°

Read more about transformation at:

https://brainly.com/question/1548871