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2 votes
Triangle ABC has vertices at A(4, 7) , B(13, 7) , and C(9, 11) .

Triangle FGH has vertices at F(1, 1) , G(10, 1) , and H(6, 5) .

Which sequence of transformations shows that triangle ABC and triangle FGH are congruent?

Select each correct answer.




A Translate ​ triangle FGH ​ down 6 units, and then translate ​ triangle FGH ​ left 3 units. ​

B Translate ​ triangle FGH ​ up 6 units, and then translate ​ triangle FGH ​ right 3 units. ​

C Translate ​ triangle ABC ​ up 6 units, and then translate ​ triangle ABC ​ right 3 units.

D Translate ​ triangle ABC ​ down 6 units, and then translate ​ triangle ABC left 3 units.
The coordinates of the vertices of triangle XYZ are given in the table.

X Y Z
(0, −6) (−10, 4) (3, −1)


Triangle XYZ is reflected across the y-axis.

What are the vertices of triangle X′Y′Z′ ?



Enter your answers in the boxes.



X′ : (
, ​
​)

Y′ : (
, ​
​)

Z′ : (
, ​
​)



The coordinates of the vertices of triangle XYZ are given in the table.

X Y Z
(0, −6) (−10, 4) (3, −1)


Triangle XYZ is reflected across the y-axis.

What are the vertices of triangle X′Y′Z′ ?



Enter your answers in the boxes.



X′ : (
, ​
​)

Y′ : (
, ​
​)

Z′ : (
, ​
​) The coordinates of the vertices of triangle XYZ are given in the table.

X Y Z
(0, −6) (−10, 4) (3, −1)


Triangle XYZ is reflected across the y-axis.

What are the vertices of triangle X′Y′Z′ ?



Enter your answers in the boxes.



X′ : (
, ​
​)

Y′ : (
, ​
​)

Z′ : (
, ​
​)

1 Answer

4 votes
1) F - A = (1, 1) -(4, 7) = (-3, -6). Triangle FGH has been translated left 3 and down 6, corresponding to selection D.

2) Reflecting (x, y) across the y-axis changes it to (-x, y).
.. X' = (0, -6) . . . . . the point maps to itself. It is on the line of reflection.
.. Y' = (10, 4)
.. Z' = (-3, -1)
User Lars Brinkhoff
by
7.7k points

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