Question

Please help me? _XYZ is translated 4 units up and 3 units left to yield _X_Y_Z_. What is the distance between any two corresponding points on _XYZ and _X_Y_Z__?

What is the distance between any two corresponding points on ΔXYZ and ΔX′Y′Z′ ?
25 units

7 units

5 units

7√ units

Answer 1

Every point went up 4 units and left 3 units.
Point X on the triangle moved up 4 and left 3. That formed a right triangle with legs 4 and 3. The distance point X moved to point X', d, is the hypotenuse of the right triangle.
Using the Pythagoras Theorem
3^2+4^2=d^2
d = 5