Square OABC is drawn on a centimetre grid. O is(0,0) A is(3,0) B is(3,3) C is(0,3). Write down how many invariant points there a
re on the perimeter of the square, when OABC is enlarged, scale factor 2, centre (0,0)
1 answer:
Answer:
1 point. O (0,0)
Step-by-step explanation:
Hi
Invariant points are those points who remain on the same location after a given transformation.
1. Plotting OABC we have it below:
2. Whenever we dilate centered, the image O'A'B'C' will be determined by the following points:
Since the Scale factor is (2)
3. Check it out O'A'B'C' below
4. On the perimeter of O'A'B'C' (enlarged OABC) we have left 1 point invariant.
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Answer: Choice A) 15 feet
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x = length of fourth side in quadrilateral ABCD
Have a look at the attached image I've posted. I made a chart that lines up the side lengths from largest to smallest. Note how the first two items in the bottom row are blank. We don't know these values and we don't need to find out in order to find x.
Based on the last two columns of that table, we can form the proportion below, which is then used to isolate x.
30/12 = x/6
30*6 = 12*x ... cross multiply
180 = 12*x
12*x = 180
x = 180/12 ... divide both sides by 12
x = 15
