abbytaylor16
contestada

Triangle XYZ is translated 4 units up and 3 units left to yield triangle X'Y'Z'. What is the distance between any two corresponding points on triangle XYZ and triangle X'Y'Z'?

Respuesta :

smmwaite

Answer

5 units


Explanation

The translation of the points X<Y and Z makes a right triangle with legs 3 units and 4 units.

The distance between the correspong is the hypotenuse of the triangle.

Using the Pythagoras theorem;

c² = a² + b²

Where a and b are the legs and c is the hypotenuse.

c²   = 3² + 4²

      = 9 + 16

       = 25

c    = √25

      = 5 units

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