Are the polygons similar? If they are, write a similarity statement and give the scale factor. The figures are not drawn to scale.
polygon ABC 7.2 by 3 and polygon KLMN 5.4 by 1.8 with angle A of 120 degrees and angle M of 120 degrees
On quadrilateral A B C D, Side A B equals 7.2, side B C equals 3, side C D equals 7.2, and side D A equals 3. Angle A has a measure of 120 degrees.
On quadrilateral K L M N, side K L equals 5.4, side L M equals 1.8, side M N equals 5.4, and side N K equals 1.8. Angle M measures 120 degrees.
(1 point)
Responses
ABCD ~ KLMN; 7.2:1.8
ABCD ~ KLMN ; 7.2:1.8
ABCD ~ KLMN; 3:1.8
ABCD ~ KLMN ; 3:1.8
ABCD ~ NKLM; 3:5.4
ABCD ~ NKLM ; 3:5.4
The polygons are not similar.
To determine if two polygons are similar, we need to compare their corresponding sides and angles. If the corresponding sides are proportional and the corresponding angles are congruent, then the polygons are similar.
In this case, let's compare polygon ABC and polygon KLMN.
For the sides:
- Side AB of polygon ABC is 7.2 and side KL of polygon KLMN is 5.4. These sides are not proportional since 7.2 is not equal to 5.4.
- Side BC of polygon ABC is 3 and side LM of polygon KLMN is 1.8. These sides are also not proportional since 3 is not equal to 1.8.
Since the corresponding sides are not proportional, we can conclude that the polygons are not similar.
Therefore, the correct answer is: The polygons are not similar.