Earmijo1
contestada

The coordinates of the vertices of △JKL are J(0, 2) , K(3, 1) , and L(1, −5) .

Drag and drop the choices into each box to correctly complete the sentences.

The coordinates of the vertices of JKL are J0 2 K3 1 and L1 5 Drag and drop the choices into each box to correctly complete the sentences class=

Respuesta :

calculista

we know that

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

so

[tex]m1*m2=-1[/tex]

we have

[tex]J(0,2)\\K(3,1)\\L(1,-5)[/tex]

Remember that

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

[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]

Step 1

Find the slope JK

we have

[tex]J(0,2)\\K(3,1)[/tex]

substitute in the slope's formula

[tex]m=\frac{(1-2)}{(3-0)}[/tex]

[tex]m=\frac{(-1)}{(3)}[/tex]

[tex]mJK=-\frac{1}{3}[/tex]

Step 2

Find the slope KL

we have

[tex]K(3,1)\\L(1,-5)[/tex]

substitute in the slope's formula

[tex]m=\frac{(-5-1)}{(1-3)}[/tex]

[tex]m=\frac{(-6)}{(-2)}[/tex]

[tex]mKL=3[/tex]

Step 3

Find the slope JL

we have

[tex]J(0,2)\\L(1,-5)[/tex]

substitute in the slope's formula

[tex]m=\frac{(-5-2)}{(1-0)}[/tex]

[tex]m=\frac{(-7)}{(1)}[/tex]

[tex]mJL=-7/tex]

Step 4

Verify if the sides of the triangle are perpendicular

Multiply the slopes

JK and KL

[tex]mJK=-\frac{1}{3}[/tex]    

[tex]mKL=3[/tex]

[tex]-\frac{1}{3}*3=-1[/tex] ------> sides JK and KL are perpendicular

when verifying that it has two perpendicular sides, it is not necessary to continue verifying the others, since a triangle can only have a single right angle

therefore

the answer in the attached figure



Ver imagen calculista
rainbowglitch

Answer: The slope of JK¯¯¯¯¯ is -1/3 The slope of JK¯¯¯¯¯ is 3 and the slope of JL¯¯¯¯¯ is -7 and the slope of JL¯¯¯¯¯ is  and the slope of JL¯¯¯¯¯ is Two of these slopes have a product of -1

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