Identify the vertex of the graph. Tell whether it is a minimum or maximum.

(–1, 0); maximum

(–1, 0); minimum

(0, –1); maximum

(0, –1); minimum

Maximum;  (0, -1)

Step-by-step explanation:

Since the graph is facing the negative way, that means the vertex is a max.

You can think of it as this:  If the curve is on top, it is a max.  If the curve is on bottom, it is a min,

The y value is -1 and the x value is 0

(0, -1)

 Maximum;  (0, -1)

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.