Please help me? ΔXYZ is translated 4 units up and 3 units left to yield ΔX′Y′Z′. What is the distance between any two corresponding points on ΔXYZ and ΔX′Y′Z′ ?

Question

Please help me? ΔXYZ is translated 4 units up and 3 units left to yield ΔX′Y′Z′. What is the distance between any two corresponding points on ΔXYZ and ΔX′Y′Z′ ?

meganmriddle2700 · Answer

?
ΔXYZ is translated 4 units up and 3 units left to yield ΔX′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

mathstudent55 · Answer

Every point went up 4 units and left 3 units, right?

mathstudent55 · Answer

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meganmriddle2700 · Answer

yes thats right @mathstudent55

mathstudent55 · Answer

Look at the figure above.
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.
Do you know the Pythagoras Theorem?

mathstudent55 · Answer

$a^2 + b^2 = c^2$

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meganmriddle2700 · Answer

im not very good at math xD @mathstudent55

mathstudent55 · Answer

The Pythagoras Theorem is the formula above.

In our triangle, a = 4, b = 3, and we need c.

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mathstudent55 · Answer

$3^2 + 4^2 = d^2$

What is 3^2 ?
What is 4^2 ?

meganmriddle2700 · Answer

9 & 16 right ? @mathstudent55

meganmriddle2700 · Answer

wait , i think i found the answer .... is it 5 ? @mathstudent55

mathstudent55 · Answer

Correct. 9 and 16.
Now you add 9 and 16:

$25 = d^2$

That means d = 5

You are correct.

meganmriddle2700 · Answer

thank you so much !! @mathstudent55