One vertex of a polygon is located at (3, –2). after a rotation, the vertex is located at (2, 3). which transformations could have taken place? check all that apply.
r0, 90°
r0, 180°
r0, 270°
r0, –90°
r0, –270°

Given:

One vertex of a polygon with the following conditions.

Question:

Which transformations could have taken place?

The Process:

This condition fulfills two types of rotation, namely:

Notes:

We already know there are four types of transformation geometry: Translation, Reflection, Rotation, and Dilation. In this case, we only focus on rotation.

However, we must moreover know about the use of multiplier matrices in transformation geometry.

For example, the matrix used in rotation 90° in the counterclockwise direction is

State (x, y) as the initial coordinate and (x', y') as the final coordinate.

The results of rotation are obtained from the multiplication of the matrix with the initial coordinates.  

Remember that if a point is rotated 90 ° about the origin, then it is the same as the point rotated -270 ° about the origin.

Based on the results of the matrix operation, the rule that describes the rotation with some special angles about the origin is as follows.

Keywords: one vertex of a polygon, after rotation, angle, about the origin, transformation, the rule, matrix operation, cos, sin, 90°, -90°, 270°, -270°, 180°, -180°, (x, y), which transformations could have taken place?

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24