Answer: c. OSRN
Step-by-step explanation:
Sides of similar shapes are proportional.
For Rectangle LOSP,
Length = LO = 4+6+8 = 18 units
Width = OS= 12 units
Here, [tex]\dfrac{18}{12}=\dfrac{3}{2}[/tex] [proportionality constant]
a. For Rectangle LMQP,
Length = MQ = 12 units
Width = LM = 4 units
Here, [tex]\dfrac{12}{4}=3\neq\dfrac32[/tex]
LMQP is not similar to LOSP.
b. Similarly, for LNRP,
Width = LN= 4+6 = 10
length = NR = 12
[tex]\dfrac{12}{10}\neq\dfrac32[/tex]
LNRP is not similar to LOSP.
c. For OSRN,
Length = OS = 12
Width = ON = 8
[tex]\dfrac{12}{8}=\dfrac32[/tex]
OSRN is similar to LOSP.
d. For MNRQ,
Length= NR = 12
Width = MN = 6
[tex]\dfrac{12}{6}=2\neq\dfrac32[/tex]
MNRQ is not similar to LOSP.
Hence, the shape similar to rectangle LOSP is OSRN.
