Question

SOMEONE PLEASE HELP ME!!! PLEASE!!!!

Quadrilateral KLMN has points K(-1,1) , L(3,4) , M(6,0) , and N(2, -3)

Use the distance formula to find the side lengths of quadrilateral KLMN.

Use the slope formula to find and compare the slopes of quadrilateral KLMN.

Use the Properties of Shapes to identify what kind of quadrilateral KLMN must be

Answer 1

d=(x2−x1)2+(y2−y1)2

One pair of opposite sides are: KL and NM

KL=(4−−2)2+(6−3)2=45−−√=35–√

NM=(3−−3)2+(2−−1)2=45−−√=35–√

Using the substitution property KL=NM

The other pair is: KN and LM

KN=(−3−−2)2+(−1−3)2=17−−√

LM=(4−3)2+(6−2)2=17−−√

Using the substitution property KN=LM

Explanation:

KN=(−3−−2)2+(−1−3)2=17−−√

LM=(4−3)2+(6−2)2=17−−√