In the diagram, lines r and s are parallel to each other and perpendicular to transversal line t. line w is a transversal to lines r and s. use properties of special angles, formed by parallel lines, perpendicular lines and their transversals, to describe the relationship between the angles. choose all of the situations that correctly describe the relationship between the angles. note: figure is not drawn to scale
s || r ; s ⊥ t ; r ⊥ t
line w is a transversal

same side interior angles
alternate interior angles
equal angles
alternate exterior angles
supplementary angles
right angles
corresponding angles
vertical angles
the angles do not share a special relationship.

equal angles and vertical angles

Step-by-step explanation:

we know that

Vertical Angles are the angles opposite each other when two lines cross. They are always equal

In this problem

∠14=∠16 > by vertical angles

therefore

The answer is

equal angles and vertical angles

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

a) 0,0; 1,1; and 2,2

step-by-step explanation:

these have the exact same coordinates, thus they are the correct function.