Answer:
Slope of perpendicular line is -1/3
Step-by-step explanation:
The slope of the given line is 3 and we have to find the slope of the perpendicular line.
We know that the slope of two perpendicular lines are negative reciprocal of each other.
In other words if the slope of the line is m then then slope of the perpendicular line is
The reciprocal of 3 is
Hence, negative reciprocal of 3 is
Therefore, the slope of perpendicular line is -1/3
C is the correct option.
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, [proportionality constant]
a. For Rectangle LMQP,
Length = MQ = 12 units
Width = LM = 4 units
Here,
LMQP is not similar to LOSP.
b. Similarly, for LNRP,
Width = LN= 4+6 = 10
length = NR = 12
LNRP is not similar to LOSP.
c. For OSRN,
Length = OS = 12
Width = ON = 8
OSRN is similar to LOSP.
d. For MNRQ,
Length= NR = 12
Width = MN = 6
MNRQ is not similar to LOSP.
Hence, the shape similar to rectangle LOSP is OSRN.