Question

13)

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 + 2, y - 3)

2. Reflect over the x-axis

3. Rotate (90° clockwise)
A) Quadrant II; no
B) Quadrant IV; no
Eliminate
C) Quadrant III; no
D) Quadrant II; yes

Answer 1

After analyzing each transformation step-by-step, we find that the final position of the triangle will be in Quadrant IV and its size will not change. The transformations include a translation, a reflection, and a rotation, none of which alter the size of the geometric figure.

Step-by-step explanation:

The student's question pertains to the final quadrant location and size change of a triangle after a series of transformations: translation, reflection over the x-axis, and rotation. Let's analyze each step:

1. Translation: (x + 2, y - 3) doesn't change the triangle's size, just shifts it right by 2 units and down by 3 units.
2. Reflection: Over the x-axis will flip the triangle vertically across the x-axis, which does not alter its size.
3. Rotation: A 90° clockwise rotation will change the quadrant in which the triangle lies but will not change its size.

We need to consider where the triangle begins and follow through the transformations to determine its final position. Without loss of generality, if the triangle starts in Quadrant I, the translation would place it still in Quadrant IV, the reflection would bring it to Quadrant I, and finally, the 90-degree clockwise rotation would land it in Quadrant IV.

Therefore, the final quadrant is IV, and the size of the triangle remains unchanged after the transformations. The correct answer is therefore option B - Quadrant IV, no.

Answer 2

Its B my dude.......................................................................................