Which answer gives statements that should be used to prove angles 4 and 6 are congruent?

a. angles 4 and 8 are congruent as corresponding angles; angles 8 and 6 are congruent as vertical angles.
b. angles 6 and 5 form a linear pair; angles 5 and 1 are congruent as corresponding angles.
c. angles 4 and 3 form a linear pair; angles 3 and 1 are congruent as vertical angles.
d. angles 4 and 2 are congruent as vertical angles; angles 8 and 6 are congruent as vertical angles.

Angles 4 and 8 are congruent as corresponding angles; angles 8 and 6 are congruent as vertical angles.

Step-by-step explanation:

We know that in the given diagram

The vertical angles are the opposite angles formed when two line's meet like 8 , 6 in the given diagram.These angles are clearly equal.

The corresponding angles are the angles formed when a line meets two parallel line's Like angles 4 , 8 or 3 , 7 etc. These are also same because the cutting line makes equal angles with the two parallel line's .

So angle 4 and angle 8 are equal because they are corresponding angles and the angles 8 and angle 6 are equal because they are vertical angles.

Therefore angle 4 and angle 8 are equal.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.