Henry draws Δ F G H . Then, he translates that triangle to create Δ F ' G ' H ' . The distance from F to F' is 4 centimeters. Wh
2 answers:
Answer:
The correct option is C.
Step-by-step explanation:
It is given that Henry translates the ΔFGH to create ΔF'G'H'.
Translation is a rigid transformation. In translation, every point of the object must be moved by same distance and in the same direction.
In other words the distance between corresponding points are same.
It is given that the distance from F to F' is 4.
Since G and G' are corresponding points, so
The length of GG' is 4 centimeters.
Therefore, the correct option is C.
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Basically that’s it but write it down by yourself
The distance d is 9 ft and the height is 12ft.
<h3>How to find the distance and the height?</h3>
Here we can model the situation with a right triangle, where the length of the wire is the hypotenuse.
The height is one cathetus and the distance is the other catheti.
Let's define:
- h = height
- d = distance.
- hypotenuse = 15ft
We know that the height of the tower is 3 ft larger than the distance, then:
h = d + 3ft
Now we can use the Pythagorean theorem, it says that the sum of the squares of the cathetus is equal to the square of the hypotenuse.
Then:
Now we can solve this equation for d:
Then the solutions are:
We only take the positive solution:
d = (-3ft + 21ft)/2 = 9ft
And the height is 3 ft more than that, so:
h = 9ft + 3ft = 12ft
The distance d is 9 ft and the height is 12ft.
If you want to learn more about right triangles:
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