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Ludmilka [50]
3 years ago
5

Triangle ABC has vertices at A(3, 8) , B(11, 8) , and C(9, 12) . Triangle FGH has vertices at F(1, 3) , G(9, 3) , and H(7, 7) .

Which sequence of transformations shows that triangle ABC and triangle FGH are congruent? Select each correct answer. Translate ​ triangle ABC ​ up 5 units then translate ​ triangle ABC ​ right 2 units. Translate ​ triangle ABC ​ down 5 units then translate ​ triangle ABC ​ left 2 units. Translate ​ triangle FGH ​ up 5 units then translate ​ triangle FGH ​ right 2 units. ​ Translate ​ triangle FGH ​ down 5 units then translate ​ triangle FGH ​ left 2 units. ​
Mathematics
2 answers:
Alex17521 [72]3 years ago
6 0
Hmm, (x,y)
x is horizontal or left right
y is vertical or up down


so

we see that A to F is move left 2 and down 5
B to G is left 2 and down 5
C to H is left 2 and down 5


so translatete ABC left 2 and down 5 and
translate FGH right 2 and up 5

not 1st option
2nd works
3rd works
4th is false


2nd and 3rd
Andreas93 [3]3 years ago
4 0
Translate triangle ABC down 5 units then left 2 units 
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Alekssandra [29.7K]

9514 1404 393

Answer:

  x = √(w(w+z))

Step-by-step explanation:

The idea with a right-triangle figure of this sort is that all of the triangles are similar. Here, x is the short side of ∆ABC, and the hypotenuse of ∆BDC. This suggests you want to write a similarity statement involving the short side and hypotenuse.

  BC/AC = DC/BC . . . . . short side/hypotenuse

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  x² = (w+z)w . . . . . . substitute letter values

Taking the square root and rearranging to the form of the applicable answer choice, this is ...

  \boxed{x=\sqrt{w(w+z)}}

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