Question

Which statement is NOT true about the given figure? 1 к 1 M M м Po 0. . N J L A) Points o, M. and P lie in the interior of angle JLK. B) Two other names for angle J are angle KIL and angle LJK C) Points N, J, and Olie in the exterior of angle MLK. D) Angles KLM and MLJ share vertex L. E) Rays LK, LM, LJ are all rays that begin at point L. F) Another name for angle 2 is angle LKM

Answer 1

Statement f is wrong/incorrect.

Here, we want to establish the validity of each of the given statements using the given figure as a guide

We are going to consider the statements one after the other

Thus, we have that;

a) This is true

Angle JLK has its vertex at the point L. All the points are facing this angle and not backing it. What this mean is that they all lie on the interior of the angle since they are facing it

b) This is true

Whenever we are labelling an angle, the vertex at which the angle is located becomes the alphabet we place in the middle of our labellings. Thus, the point J in this case should be in the middle of any angle that we are to label. So, in this case, while KJL is true, LJk is also true as long as we have the vertex J in the middle of our labellings

c) This is correct

All the given points are not facing the direction at which we have the given angle. What this can simply means is that they all lie on the exterior part of the given marked angle

d) This is correct

As we can see the labellings, the angle is supposed to be at the mid-point. From what we can see the alphabet is at the mid of the two labellings. This makes it that they both share the same vertex which is point L

e) This is correct

All the rays have their origins at vertex L. We can see this by looking at the direction of the rays which we can see that they are all directed outside of vertex L

f) This is incorrect

As we can see, angle 2 is on the vertex L and thus, by labelling, whatever we have shoule have L as the middle alphabet. This makes this option wrong