In the diagram below, ARST has been reflected vertically and horizontally and then dilated to produce triangle XYZ

T

Y

RX-

S

Which statement must be true?

A. (RS)/(XY) = (RT)/(XZ)

X = Y =m angle Z

C .m angle S=m angle Z

OD. (RS)/(XZ) = (RT)/(YZ)

Question

In the diagram below, ARST has been reflected vertically and horizontally and then dilated to produce triangle XYZ

T

Y

RX-

S

Which statement must be true?

A. (RS)/(XY) = (RT)/(XZ)

X = Y =m angle Z

C .m angle S=m angle Z

OD. (RS)/(XZ) = (RT)/(YZ)

Subshilava · Answer

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curriful · Answer

Since it's reflected and dilated, it's obvious that the traingles are the same. If you reflect the triangle on the right to the left so the 2 are on the same side, which angles match up?

curriful · Answer

As a clue, I'll say it isn't A or D. Let me know if you get an answer and I'll let you know if it's correct or not.

Subshilava · Answer

B is what I got

curriful · Answer

That's incorrect. The angles for those 2 aren't similar, they're just on the same triangle. If you look at C, which says m<S = m<Z , the angles are similar from the left side point.

curriful · Answer

As I said, it's easier to see what the answer is if you reflect it back to the original side, or you just look for like sides/angles.

Subshilava · Answer

Oh ok so if I flip them and they’re on the same side they can be similar?

curriful · Answer

If you flip them and the angles are similar, then that's your answer. At least that's how I do it..

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