Center of Dilation at Polygon Vertices
Perform dilations of polygons where a vertex of the shape serves as the center of dilation. Calculate the resulting coordinates for the remaining vertices.
Questions
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MultiChoice
If one vertex of a polygon is chosen as the center of dilation, what happens to that vertex's image?
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MultiChoice
Triangle ABC has vertex A(1, 1). If A is the center of dilation with k = 3, what are coordinates of A'?
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MultiChoice
Triangle ABC has vertices A(1,1) and B(3,1). With center of dilation at A and k = 3, find B'.
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MultiChoice
Triangle ABC has vertices A(1,1) and C(1,4). With center of dilation at A and k = 3, find C'.
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MultiChoice
Square ABCD has vertex A(2, 2). If dilated centered at A with k = 0.5, what are coordinates of A'?
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MultiChoice
Square ABCD has vertices A(2, 2) and B(6, 2). Dilated centered at A with k = 0.5, find B'.
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MultiChoice
Square ABCD has vertices A(2, 2) and C(6, 6). Dilated centered at A with k = 0.5, find C'.
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MultiChoice
When a polygon is dilated with center at one vertex, which sides lie on the exact same lines as original sides?
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MultiChoice
Triangle PQR with P(0,0), Q(3,0), R(0,4). With center at P and k = 2, what is P'?
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MultiChoice
In Triangle PQR with P(0,0), Q(3,0), R(0,4), dilated centered at P with k = 2, what is Q'?
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MultiChoice
In Triangle PQR with P(0,0), Q(3,0), R(0,4), dilated centered at P with k = 2, what is R'?
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MultiChoice
What is the area of Triangle P'Q'R' with vertices P'(0,0), Q'(6,0), R'(0,8)?