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 answer to the expression is 83

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225