Determine which postulate or theorem can be used to prove that lmo ~ nmo.

a. sas
b. asa
c. sss
d. aas.

Given in the picture are two triangles with common side OM.

L and N are on either side of OM

In triangles OML and OMN, given that

angle L = angle N

and OM is perpendicular to LN.

Hence in these two triangles OML, and OMN we have

OM=OM (reflexive property)

Angle L = angle N(given)

Angle OML = angle OMN (perpendicular)

Thus two angles and one corresponding side are equal

Hence by AAS property the two triangles are congruent.

(since side is not included by the angles)

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05