Question

A transformation of rectangle LMNO results in rectangle L'M'N'O'.

Answer 1

Answer:

As you can see Rectangle L M NO and Rectangle L'M'N'O' are such that

1. Size of Rectangle L M NO > Size of Rectangle L'M'N'O'

2. Sides of, means length and breadth of Rectangle L M N O is not in proportion to Rectangle L'M'N'O'. i.e

    $\frac{LM}{L'M'}=\frac{8}{6}=\frac{3}{2} \\\\\frac{LO}{L'O'}= \frac{4}{4}=1$

3. Out of four possibilities given :

, Reflection and Rotation is not possible because in all the three cases Pre-image and image are not congruent or similar.

As in,Rectangle LMNO →when length and breadth get reduced by scale of 2 and 0 and Dilation by scale factor of< 1  we get Rectangle L'M'N'O'.Centre of dilation may be other than origin.

So, Stretching of preimage i.e Rectangle L M NO→ means Shrinking has taken place to get image Rectangle L'M'N'O'.As shrinking is not an option.

So, Dilation by a factor less than 1, center of dilation other than origin has taken place.

Answer 2

Answer:

B. Stretch

Step-by-step explanation:

We are given that,

Rectangle LMNO is transformed to form the rectangle L'M'N'O'.

It is required to find the transformation.

Dilation, Reflection and Rotation are not possible as Dilation changes the overall size of the figure and other transformation does not change the size of the figures.

Now, as we see that,

Length of LMNO = 8 units and Width of LMNO = 4 units

Length of L'M'N'O' = 6 units and Width of L'M'N'O' = 4 units

So, we get that,

The rectangle LMNO is decreased in length to obtain rectangle L'M'N'O'.

That is, LMNO is shrinked to obtain L'M'N'O'.

But shrink is not an option, we say that there is a stretch of $\frac{6}{8}=\frac{3}{4}$ to obatin L'M'N'O'.

Hence, option B is correct.