Given the coordinates, determine whether PQR & XYZ are congruent P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)

PQ=

XY=

QR=

YZ=

PR=

XZ=

Are the triangles congruent? If yes, explain your reasoning and write a congruence statement.

The triangles are congruent

Step-by-step explanation:

Given

Required

Determine if PQR = XYZ

To do this, we make use of distance formula.

For PQ:

and

So:

For XY:

So:

For QR:

and

So:

For YZ:

and

So:

For PR:

and

So:

For XZ:

and

So:

From the calculations above:

Hence, the triangles are congruent base on SSS (Sides- Sides-Sides)

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

answer: add the !

step-by-step explanation: then we will answer