Question

If the markings were missing on this quadrilateral, how would you go about verifying what shape it is?

A) Because this is a rectangle, I would show that each vertex is made up with lines that have opposite reciprocal slopes.
B) Because this is a parallelogram, I would show that each vertex is made up with lines that have opposite reciprocal slopes.
C) Because this is a parallelogram, I would show that all four sides are congruent.
D )Because this is a parallelogram, I would show that opposite sides have the same slope.

Answer 1

Option A: Because this is a rectangle, I would show that each vertex is made up with lines that have opposite reciprocal slopes.

Explanation:

A rectangle is a quadrilateral with four right angles.

Each right angle is made up of two perpendicular lines forming a vertex

And then proving this that all perpendicular lines have negative reciprocal slope.

It isn't always necessary to employ the idea of using a parallelogram first although it might be useful.