Question

The following set of coordinates represents which figure?

(3, -5), (5, -2), (10, -4), (8, -7)

square

trapezoid

parallelogram

rectangle

Answer 1

im needing help learning to solve it not just wanting an answer. Please and Thank You

Answer 2

are you there?

Answer 3

yes

Answer 4

look at the coordinates.
any of those coordinates have the similar x or similar y coordinates
am I right?

Answer 5

yes sir

Answer 6

to become this figure a square or rectangle,
x or y coordinates of vertex should be equal to each other
can you see why?

Answer 7

oh no, that is always not true, my bad. Wait, let me think of a way to do this without drawing this in a coordinate plane

Answer 8

hold on so your saying that my intercepts must be the same how would i find out if they are?

Answer 9

well here's what we can do.
the lengths between first two coordinates and second two coordinates are the same right?

Answer 10

yes 8 and 7

Answer 11

and the lengths between 1st coord and 4th coord = 2nd coord and 3rd coord

Answer 12

it's like if we sat the polygon is ABCD then
AB=CD and
AD=BC

Answer 13

so we can throw away the trapezoid from the equation

Answer 14

am I clear enough for you?

Answer 15

okay , because of all the equal ness im thinking square

Answer 16

yes you are clear I am thankful trust me , i really struggle understanding math but i need to pass so im greatful for help

Answer 17

but keep in mind all the sides of the polygon is not equal. Can you see why?

Answer 18

Do you know how to find the distance between two points.
sqrt((y1-y2)^2+(x1-x2)^2)
this is the equation for that

Answer 19

so rectangle because two sides are equal and two are parrelel

Answer 20

^yes since, all the sides are not equal, we can throw the answer of square as well

Answer 21

now we are left with rectangle or parallelogram

Answer 22

if the angle of the polygon is 90, then its rectangle, if not, then it is parallelogram

Answer 23

parrellel because of the 2 sides am i right

Answer 24

(05.04)

Quadrilateral ABCD has coordinates (3, 5), (5, 2), (8, 4), (6, 7). Quadrilateral ABCD is a

rectangle because its length is units, its width is units, and adjacent sides are perpendicular

trapezoid because it has only one pair of parallel sides

square because its length and width are both units and adjacent sides are perpendicular

rhombus because its length and width are both units and adjacent sides are not perpendicular

Answer 25

this is the only other questio i wasnt sure how to solve.

Answer 26

in this question
AB=CD
and AD=BC
but AB and AD are not euqal

Answer 27

alright rectanle?

Answer 28

so the answer for the second question is rectangle

Answer 29

or rhombus are my best guesses seing that they arent equal am i n the right track

Answer 30

well thank u

Answer 31

this is rombus

Answer 32

here in your second question all the 4 sides are not equal. so it is not a rhombus

Answer 33

oh ok that makes more since

Answer 34

so the answers
1.) parallelogram (because the angles are not 90)
2.) rectangle (because AB=CD and BC =AD)