math question?

Question

1)What is the image of point (2,5) under the translation that shifts (x,y) to (x+3y-2)? A)(5,8) B)(5,3) C)(0,8) D)(0,3)

2)Which transformation does not always produce an image that is congruent to the original figure? A)rotation B)dilation C)reflection D)translation

3)The distance between pints P and Q is right units. How many points are equidistant from P and Q and also three units from P? A)4 B)2 C)1 D)0

please help me!!

Answer 1

1) do you mean (x,y)→(x, 3y-2)? if so, (2,5)→(2,13). but that's not one of your choices. the image of (x,y) needs TWO coordinates, and x+3y-2 must be only ONE of them.

2) dilation

3) "right units" doesn't specifiy a distance. points equidistant from P and Q are a line, the perpendicular bisector of segment PQ. Points 3 units away from P are a circle, radius 3. A line and a circle can intersect in 2 points, 1 point, or 0 points. What's necessary to decide here is the distance between P and Q that you left out.

Answer 2

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