Question

Brainliest to the one who gets it right.
1.) What is the length of side PS?

2.) What is the length of side QR?

3.) What is the length of side PQ?

4.) What is the length of side SR?

5.) What kind of quadrilateral is PQRS? EXPLAIN YOUR REASONING

Answer 1

Answer:

Step-by-step explanation:

For PS

PS=√(x2-x1)²+(y2-y1)²

PS=√(-1+2)²+(1-4)²

PS=√1+9

PS=√10 units

For QR

QR=√(x2-x1)²+(y2-y1)²

QR=√(4-3)²+(5-2)²

QR=√10 units

For PQ

PQ=√(x2-x1)²+(y2-y1)²

PQ=√(3+2)²+(5-4)²

PQ=√26 units

For SR

SR=√(x2-x1)²+(y2-y1)²

SR=√(4+1)²+(2-1)²

SR=√26 units

→Here the given vertices are of a rectangle because its opposite sides are equal.