In which quadrant will the triangle be located after this series of transformations? does the size of the triangle change after the series of transformations? 1. translate (x, y) → (x + 1, y + 2) 2. r (origin, 90° clockwise) 3. translate (x, y) → (x + 2, y - 3)

The triangle will remains in the first quadrant in all the above condition and the size of triangle is also same because only position of the triangle changes.

Further explanation:

Given:

Triangle is located in the first Quadrant.

To find:

(a) The Quadrant in which the triangle is located after series of transformation at given condition.

(b) The size of triangle after the series of transformation at given condition.

Calculation:

1. Transformation is .

As per the above transformation the coordinate of the triangle is shifted horizontally by unit and the coordinate is shifted vertically upwards by units.

The triangle will remain in the first quadrant.

2. Rotated clockwise.

The triangle will be in the first quadrant and the size of triangle is also not change.  Due to rotation the orientation of the triangle will change.

3. Transformation is .

As per the above transformation the coordinate of the triangle is shifted horizontally by units and the coordinate is shifted vertically downwards by units.

The triangle will remains in the first quadrant.

Therefore, the triangle will remains in the first quadrant in all the above condition and the size of triangle is also same because only position of the triangle changes.

Learn more:

1. A problem on triangle

2. A problem on transformation of triangle

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Function

Keywords: Equations, Triangle, Transformation, Translate, first quadrant, size, x coordinate, y coordinate, shifted position, rotate clockwise, series of transformation, shifting, quadrant.

65°

step-by-step explanation:

the total measure of a triangle is 180 degrees. 62 + 53 is 115.

180 - 115 = 65

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