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GRADES GEOB QUIZ 6-1 (SIMILARITY) / 255Dilate Triangle ABC by a scale factor of 4 centered at the origin: (Hint: click the "Polygon A'B'C' button to the left first, then drag your verticeswhere you want them)876432-7-1120-1

GRADES GEOB QUIZ 61 SIMILARITY 255Dilate Triangle ABC By A Scale Factor Of 4 Centered At The Origin Hint Click The Polygon ABC Button To The Left First Then Dra class=

Sagot :

Answer:

Explanation:

From the given triangle ABC, we can state the coordinates of the vertices as;

[tex]\begin{gathered} A(1,-1) \\ B(1,1) \\ C(2,2) \end{gathered}[/tex]

Given a scale factor of 4, to determine the coordinates of the vertices of the image after dilation, all we need to do is multiply each of the coordinates of the preimage by the scale factor, 4, as seen below;

[tex]\begin{gathered} A(-1,1)\rightarrow A^{\prime}\lbrack4\cdot(-1),4\cdot1\rbrack\rightarrow A^{\prime}(-4,4) \\ B(1,1)\rightarrow B^{\prime}(4\cdot1,4\cdot1)\rightarrow B^{\prime}(4,4) \\ C(2,2)\rightarrow C^{\prime}(4\cdot2,4\cdot2)\rightarrow C^{\prime}(8,8) \end{gathered}[/tex]

Graphing the preimage (triangle ABC) and the image (triangle A'B'C'), we'll have;

View image StefanyI192734
View image StefanyI192734