What is the most precise name for quadrilateral abcd with vertices a(-5, -1) b(-5, 3) c(-2, 3) d(-2, -1)

1st Option is correct.

Step-by-step explanation:

Given:

Vertices of the quadrilateral ABCD.

A( -5 , -1 ) , B( -5 , 3 ) , C( -2 , 3 ) , D( -2 , -1 )

To find: Name of the Quadrilateral.

We use Distance formula to find the length of the sides and diagonal of the Quadrilateral.

Distance between two point =

Length of Side AB

Length of Side CB

Length of Side CD

Length of Side AD

Length of the Diagonal AC

Length of the Diagonal BD

So, Opposite side of the Quadrilateral are Equal that is AB = CD = 4 unit and CB = AD = 3 unit

Also, Diagonals are equal that is AC = BD = 5 unit

⇒  Quadrilateral is a RECTANGLE.

Therefore, 1st Option is correct.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.