Jenna is creating a mural for her bedroom wall. she would like to copy a picture that is 2 inches by 2.5 inches. she uses a copy machine to enlarge it by a factor of 4. then she projects it on her wall at a factor of 12. what are thedimensions of the mural. are the pictures similar

Part A) The dimensions of the mural are by

Part B) Yes, the pictures are similar, because the ratio of its corresponding sides is equal

Step-by-step explanation:

Part A) What are the dimensions of the mural

we know that

If two figures are similar, then the ratio of its corresponding sides is equal  and this ratio is called the scale factor

In this problem

To find the dimensions of the mural multiply the original dimensions by 4 and then by 12

so

Part B) Are the pictures similar ?

The pictures are similar, because the ratio of its corresponding sides is equal

Verify the ratio of its corresponding sides

------> is true

therefore

The pictures are similar

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

correct answers below: