Triangle RST with vertices R(2, 5), S(1, 4), and T(3, 1) is Translated 3 units right. What are the coordinate of S', R' &T'?
See explanation.
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To translate a triangle 3 units to the right, you add 3 to the x-coordinate of each vertex.
For vertex S(1, 4): S' will have coordinates (4, 4).
For vertex R(2, 5): R' will have coordinates (5, 5).
For vertex T(3, 1): T' will have coordinates (6, 1).
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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.
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.
- Circle A has a radius of #3 # and a center of #(3 ,9 )#. Circle B has a radius of #2 # and a center of #(1 ,4 )#. If circle B is translated by #<3 ,-1 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?
- Point A is at #(6 ,2 )# and point B is at #(3 ,-8 )#. 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 line segment has endpoints at #(1 ,2 )# and #(3 ,8 )#. If the line segment is rotated about the origin by #pi /2 #, translated vertically by #1 #, and reflected about the y-axis, what will the line segment's new endpoints be?
- A line segment has endpoints at #(5 ,4 )# and #(8 ,7 )#. If the line segment is rotated about the origin by #( pi)/2 #, translated vertically by #-2 #, and reflected about the y-axis, what will the line segment's new endpoints be?
- A triangle has corners at #(8 ,3 )#, #(4 ,-6 )#, and #(-2 ,-4 )#. If the triangle is dilated by a factor of #5 # about point #(1 ,-3 ), how far will its centroid move?

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