Draw a triangle with vertices a(0, 4), b(2, -2), and c(-2, -2). apply a dilation centered at the origin with scale factor to 1/2  this triangle and draw the resulting triangle, a'b'c'. in complete sentences, describe the following: the relationship between corresponding sides in terms of their lengths. the relationship between corresponding sides in terms of their orientations. the relationship between corresponding angles in terms of their measures.

"A dilation centered at the origin with scale factor to 1/2 from the origin" means that we must join O to all the vertices of the triangle, and make the distances 1/2 of the original triangle. This is shown clearly in the picture.

The coordinates of the new triangle are A'(0,4), B'(1,-1), C'(-1,-1).


The relationship between corresponding sides in terms of their lengths:
The sides of the dilated triangle are half the length of the first triangle.

The relationship between corresponding sides in terms of their orientations.
The two triangles have the same orientation.

The relationship between corresponding angles in terms of their measures.
The two triangles have congruent corresponding angles.

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