# A line segment has endpoints at #(3 ,8 )# and #(4 ,6)#. If the line segment is rotated about the origin by #(pi )/2 #, translated vertically by #3 #, and reflected about the y-axis, what will the line segment's new endpoints be?

Since there are 3 transformations to be performed here, label the endpoints A(3 ,8) and B(4 ,6)

Hence A(3 ,8)→ A'(-8 ,3) and B(4 ,6) → B'(-6 ,4)

Hence A'(-8 ,3) → A''(-8 ,6) and B'(-6 ,4) → B''(-6 ,7)

Third transformation Under a reflection in the y-axis

Hence A''(-8 ,6) → A'''(8 ,6) and B''(-6 ,7) → B'''(6 ,7)

After all 3 transformations.

By signing up, you agree to our Terms of Service and Privacy Policy

The new endpoints of the line segment will be (-8, 3) and (-6, 4).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A line segment has endpoints at #(7 ,1 )# and #(7 ,5 )#. If the line segment is rotated about the origin by # pi #, translated horizontally by # - 2 #, and reflected about the x-axis, what will the line segment's new endpoints be?
- Point A is at #(-1 ,-5 )# and point B is at #(-2 ,4 )#. Point A is rotated #pi/2 # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?
- A triangle has corners at #(4, 3 )#, ( 7, -4)#, and #(6, -5 )#. If the triangle is reflected across the x-axis, what will its new centroid be?
- A line segment has endpoints at #(9 ,1 )# and #(5 ,3)#. If the line segment is rotated about the origin by #pi #, translated vertically by #-2 #, and reflected about the x-axis, what will the line segment's new endpoints be?
- Point A is at #(-8 ,5 )# and point B is at #(-3 ,-2 )#. Point A is rotated #pi/2 # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7