Question

I need help telling if these are true or false

Answer 1

Answers:

1. False
2. True
3. False
4. True

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Explanations:

1. Point A is located at (0,1). It then moves to A' which is at (0,3). Note the y coordinate goes from y = 1 to y = 3, so the scale factor is 3/1 = 3 instead of 4. Therefore, the claim is false.
2. Point A is at (-4,4). It moves to (-2,2). Each coordinate of (-4,4) is cut in half to get (-2,2). Cutting a value in half is the same as multiplying by 0.5, so point A fits the description. Let's find out if point B does as well. B is at (2,4) and it moves to B' (1,2); we can see that point B has its coordinates cut in half as well. Points C and D also work to fit the description (I'll let you check those coordinates) which means overall, quadrilateral ABCD dilates with a scale factor of 0.5 to get to quadrilateral A'B'C'D'. The answer here is "true".
3. Point W is at the location (-1,1). Triple each coordinate to get (-3,3) which is where point W' should be located if we applied the dilation of scale factor 3. However, the diagram shows W' is not at (-3,3). It seems to be fairly close to (-2,2) if anything. We don't need to check the other points, but I recommend you do so just for practice. The answer here is "false".
4. Because the scale factor is 0.25 = 1/4, this means "scale factor of 0.25" is the same as "scale factor of 1/4". That tells us to "multiply each coordinate by 1/4" which in turn is equivalent to "divide each coordinate by 4". Point E is at (-4,4) which moves to (-1,1) when we divide each coordinate by 4. Note how point E' is at (-1,1). So E moves in the proper way according to the instructions given to us. Points M, W and O also move in a similar fashion after we divide their coordinates by 4. The answer here is "true".