A teacher draws triangle MNP on a coordinate plane. The teacher asks four students to create a series of transformations that maps triangle MNP onto triangle QRS s that triangle MNP is similar to, but not congruent to, triangle QRS. The table shows the students' responses. Student Response Colby reflection across the y-axis, rotation of 180° Damien rotation of 90° clockwise, translation 5 units down Evelyn translation 2 units left, dilation by a factor of Felisha translation 4 units right, translation 1 unit up Which student is correct? O Colby O Damien O Evelyn O Felisha e Calculator

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A: We know that distance  between two points (x1,y1) and (x2,y2) is (x1-x2)2+(y1-y2)2 Therefore option…

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A: In ∆NOP, N=0,0, O=2,5, P=3,2 NO¯=2-02+5-02=4+25=29 OP¯=3-22+2-52=1+9=10 NP¯=3-02+2-02=9+4=13

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