Answer: C. Bisect DE at G.
Step-by-step explanation:
- In a triangle, a median is a line segment drawn from a vertex to the midpoint of the opposite side of the vertex.
So, for triangle DEF , if we draw the median DG to the opposite side EF.
Here EF is the opposite side to vertex D.
So, G must be the midpoint of line segment EF.
So , we need to first mark G on EF.
i.e. we need to bisect EF at G.
So first step would be : Bisect EF at G.
Answer:
a) (1, 2) not on the graph.
b) (1, -1) is on the graph.
Step-by-step explanation:
Given the equation of the line as:

The points given are
a) (1, 2)
To determine whether it is on the graph of the line or not.
To do so, we can do 2 things:
1. Draw the graph and plot the point on the graph to check whether it is on the graph or not.
2. To put the point in the given equation of the line, whether the equation is satisfied or not.
For method 1: Kindly refer to the attached image of the line and point plotted.
Method 2:
Let us put
in the Left Hand Side (LHS) of equation.

(1, 2) Not on the graph.
(b) (1, -1)
For method 1: Kindly refer to the attached image of the line and point plotted.
Method 2:
Let us put
in the Left Hand Side (LHS) of equation.

(1, -1) is on the graph.
Example:

This suggests two solutions,

and

.
However, upon plugging these solutions back into the equation, you get

which checks out, but

does not because

is defined only for

(assuming you're looking for real solutions only). So, we call

an extraneous solution, and the complete solution set (over the real numbers) is

.