Answer: 10.5 inches.
Step-by-step explanation:
- We know that if two polygons are similar to each other than the corresponding sides are proportional.
Given : In the image shape ABCD is similar to shape MNOP
.
Then , AB corresponds to MN .
BC corresponds to NO.
CD corresponds to OP. (1)
AD corresponds to MP. (2)
In the given figure we have ,
AD = 14 in. , CD= 16 in. and OP =12 in.
To find : MP
Since shape ABCD is similar to shape MNOP then the corresponding sides should be proportional.
i.e. [tex]\dfrac{MP}{AD}=\dfrac{OP}{CD}[/tex] [By using (1) and (2)]
Substitute the values.
i.e. [tex]\dfrac{MP}{14}=\dfrac{12}{16}[/tex]
i.e. [tex]MP=\dfrac{12}{16}\times14=10.5\ in.[/tex]
Hence, the length of MP= 10.5 in.
Thus the correct answer is 10.5 inches.
