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irinina [24]
3 years ago
7

Triangle CAT was rotated to create triangle C'A'T'. Describe the transformation using details and degrees.

Mathematics
2 answers:
Helen [10]3 years ago
6 0

Answer:

The triangle CAT is rotated 90 degree clockwise direction about the origin or 270 degree counterclockwise direction about the origin.

Step-by-step explanation:

From the given figure it is noticed that the coordinates of vertices of pre-image are C(-2,1), A(-3,3) and T(1,1). The coordinates of vertices of image are C'(1,2), A'(3,3) and T(1,-1).

From these coordinates we can conclude that the relation between preimage and image is

(x,y)\rightarrow (y,-x)

If a figure rotated 90 degree clockwise direction about the origin, then

(x,y)\rightarrow (y,-x)

C(-2,1)\rightarrow C'(1,2)

A(-3,3)\rightarrow A'(3,3)

T(1,1)\rightarrow T'(1,-1)

Therefore triangle CAT is rotated 90 degree clockwise direction about the origin or 270 degree counterclockwise direction about the origin.

astra-53 [7]3 years ago
5 0
Notice that A is 1 unit to the left of and two above C, while A' is two to the right of and 1 above. You can describe the rotation of the triangle *about* C (keeping C still and moving things around it) by drawing a circle with C at the center and A at the edge; then you can more easily find how many degrees the triangle was "rotated through." Then you can also use C as a judge of the translation (it's 1 up and three to the right of where it started). Lastly if two circles are drawn with 1 inside the other with the same origin, they're called concentric ("con" meaning "with" or "join," and centric as in "center" ).
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