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Answer: A) reflection C) rotation D) translation
Step-by-step explanation:
A rigid transformation happens when a point or object is moved, but the size and shape remain the same. There are four kinds of rigid transformation.
1) translation 2) reflection 3) rotation 4) glide reflection.
They all create congruent images.
But a dilation is a non rigid motion.
A dilation is a transformation that creates an image that is the exactly same shape as the original, but have a different size.
Step-by-step explanation:
We are here given that a point B is between A and C . Also ,
- Value of AB = 2x
- Value of BC = 3x + 1
- Value of AC = 21 .
And we would like to calculate the length of BC . For figure refer to the attachment. From figure we can see that ,
Substitute the respective values,
Add like terms ,
Subtract 1 on both sides,
Simplify,
Divide both sides by 5,
Now consider ,
Plug in the value of x found above ,
Simplify,
Add,
And we are done !
