Question

Name the type of quadrilateral formed, if any, by the following points, and give reasons for your
answer: P (1, -2), Q (2, 3), R (-3,2), S (-4, -3)​

Answer 1

Step-by-step explanation:

by using distance formula all sides of given figure is equal and diagonal are not equal so rhombus

Answer 2

Answer:

the quadrilateral is rhombus.

Step-by-step explanation:

PQ^2 = (2-1)^2 + (3+2)^2 = (1 + 25) = 26

QR^2 = (-3-2)^2 + (2-3)^2 = 25 + 1 = 26

RS^2 = (-4+3)^2 + (-3-2)^2 = 1 + 25 = 26

PS^2 = (-4-1)^2 + (-3+2)^2 = 25 + 1 = 26

PR^2 = (-3-1)^2 + (2+2)^2 = 16 + 16 = 32

QS^2 = (-4-2)^2 + (-3-3)^2 = 36 + 36 = 72

all sides of quadrilateral are equal and angles are not right angles (by pythagorean theorem PR^2 is not equal to PQ^2 + PR^2)

SO the quadrilateral is rhombus