Question

40 POINTS NEED HELP ASAP

The coordinates of the vertices of △XYZ are  X(−5, 5),  Y(−3, −2), and  z(4, 0).
Drag and drop the choices into each box to correctly complete the sentences.

IM A BUSY HIGHSCHOOLER AND NEED HELP AS SOON AS POSSIBLE I KEEP GETTING THIS WRONG AN EXPERTS OR GENIUS OUT THERE THAT COULD HELP ME

please no random answers I already got this wrong like 3 times its my last chance

Answer 1

Use slope formula: y2-y1/x2-x1

XZ: -5/9
YZ: 2/7
XY: -7/2

XYZ is a right triangle because two of these slopes have a product of -1.

(YZ and XY does). We are all busy these days.

Answer 2

we know that

if two lines are perpendicular, then the product of their slopes is equal to minus one

so

`m1*m2=-1`

The formula to calculate the slope between two points is equal to

`m=((y2-y1))/((x2-x1))`

we have

`x(-5,5)\\y(-3,-2)\\z(4,0)`

Step 1

Find the slope xz

`x(-5,5)\\z(4,0)`

Substitute in the slope's formula

`m=((0-5))/((4+5))`

`m=((-5))/((9))`

`mxz=-(5)/(9)`

Step 2

Find the slope yz

`y(-3,-2)\\z(4,0)`

Substitute in the slope's formula

`m=((0+2))/((4+3))`

`m=((2))/((7))`

`myz=(2)/(7)`

Step 3

Find the slope xy

`x(-5,5)\\y(-3,-2)`

Substitute in the slope's formula

`m=((-2-5))/((-3+5))`

`m=((-7))/((2))`

`mxy=-(7)/(2)`

Step 4

Verify if two of the slopes are perpendicular

`mxz=-(5)/(9)`

`myz=(2)/(7)`

`mxy=-(7)/(2)`

Multiply myz and mxy

`(2)/(7)*-(7)/(2)=-1` -------> the lines segment yz and xy are perpendicular

therefore

the triangle XYZ is a right triangle

the answer in the attached figure