What is not preserved under dilation? Select all that apply.

A Angle measure

B Betweenness

C Collinearity

D Distance

E Proportionality

Question

12-02-2017
Mathematics

Answered

What is not preserved under dilation? Select all that apply.

A Angle measure

B Betweenness

C Collinearity

D Distance

E Proportionality

Verified Answer :

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Answer:

Hence, option D is correct (i.e. Distance is not preserved under dilation).

Step-by-step explanation:

" A dilation is a transformation that produces an image that is the same shape as the original, but is a different size ".

A) Angle measure:

Angle measures remains same as there is only a difference in their size the shape does not changes.

Hence angle measure is preserved.

B) Betweenness:

It is also preserved. since if any point in before dilation is between two points than after dilation it remain between them only.

C) Collinearity:

Points remain on the same line.

Hence, it is preserved.

D) Distance:

The distance is not preserved. since the length of the segment increase or decrease in dilation hence distance between two point also increase or decrease.

E) Proportionality:

In a dilation, the sides of the pre-image and the corresponding sides of the image are proportional. Hence it is also preserved.

What is not preserved under dilation? Select all that apply.A Angle measureB BetweennessC CollinearityD DistanceE Proportionality

Verified Answer :

Related Questions

What is not preserved under dilation? Select all that apply.

A Angle measure

B Betweenness

C Collinearity

D Distance

E Proportionality