We know that
<span>Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.
In this problem to prove circle 1 and circle 2 are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.
</span>we have that
<span>Circle 1 is centered at (4,3) and has a radius of 5 centimeters
</span><span> Circle 2 is centered at (6,-2) and has a radius of 15 centimeters
</span>
step 1
<span>Move the center of the circle 1 onto the center of the circle 2
</span>the transformation has the following rule
(x,y)--------> (x+2,y-5)
so
(4,3)------> (4+2,3-5)-----> (6,-2)
so
center circle 1 is now equal to center circle 2
<span>The circles are now concentric (they have the same center)
</span>
step 2
A dilation is needed to increase the size of circle 1<span> to coincide with circle 2
</span>
scale factor=radius circle 2/radius circle 1-----> 15/5----> 3
radius circle 1 will be=5*scale factor-----> 5*3-----> 15 cm
radius circle 1 is now equal to radius circle 2
A translation, followed by a dilation<span> will map one circle onto the other, thus proving that the circles are similar</span>
Answer:
- Cutting any kind of fruit or vegetable. Prevent this by wearing gloves in the kitchen.
- Forgotten kitchen spills are a major tripping hazard. Prevent this by not spilling anything, or if when you do, clean it up right away.
- Washing dishes can result in knicks of plates and bowls, even even washing a knife improperly can harm you. Prevent this by being extra cautious when washing anything.
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- Skin contact with Chile Powder, or any kind of harmful cleaning substance.
Thanks so much for letting me help!!
It was greater than 1/2 because in order for a number to increase value, it has to be multiplied by a number greater than 1.
Hope this helps!
Answer:
3/4, and 6/8
Step-by-step explanation:
3/4 = 9/12 simplfied
6/8 = 3/4 times two
