Answered

Draw the image of a triangle with vertices (2, 1), (3, 3), and (5, 1). Then perform the following transformation: a 180° clockwise rotation about the origin.
Choose image 1, 2, 3, or 4

Draw the image of a triangle with vertices 2 1 3 3 and 5 1 Then perform the following transformation a 180 clockwise rotation about the origin Choose image 1 2 class=
Draw the image of a triangle with vertices 2 1 3 3 and 5 1 Then perform the following transformation a 180 clockwise rotation about the origin Choose image 1 2 class=
Draw the image of a triangle with vertices 2 1 3 3 and 5 1 Then perform the following transformation a 180 clockwise rotation about the origin Choose image 1 2 class=
Draw the image of a triangle with vertices 2 1 3 3 and 5 1 Then perform the following transformation a 180 clockwise rotation about the origin Choose image 1 2 class=
Draw the image of a triangle with vertices 2 1 3 3 and 5 1 Then perform the following transformation a 180 clockwise rotation about the origin Choose image 1 2 class=


Answer :

sqdancefan

Answer:

  (3)  see attached

Step-by-step explanation:

You want to draw the triangle with vertex coordinates (2, 1), (3, 3), and (5, 1), along with its rotation 180° about the origin.

Points

The coordinate pair (2, 1) means the point is located 2 units to the right of the y-axis (where x=0), and 1 unit above the x-axis (where y=0). This point is incorrectly plotted in images 2 and 4, eliminating those possibilities.

Rotation

Rotation 180° about the origin causes the signs of each of the coordinates to be reversed (negated, become the opposite of what they were). That means point (2, 1) gets rotated to the location (-2, -1).

This rotated point is 2 units left of the y-axis, and 1 unit down from the x-axis. It is correctly located in image 3.

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Additional comment

Rotation 180° about a point is equivalent to reflection across that point. The segment between a point and its image will have the center of rotation as its midpoint.

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