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Ganezh [65]
4 years ago
5

If the triangles are similar, which must be true?

Mathematics
1 answer:
RUDIKE [14]4 years ago
7 0

Answer:

B. RY/RS=RX/RT=XY/TS

Step-by-step explanation:

In the picture attached, △RST and △RYX (which are similar) are shown

The options are:

  • A. RY/YS=RX/XT=XY/TS
  • B.RY/RS=RX/RT=XY/TS
  • C.RY/RS=RX/RT=RS/RY
  • D.RY/RX=RS/RT=XY/TS

Given that the triangles are similar, then their sides are proportional. Then, there is some constant k, which satisfies:

k*RS = RY

k*RT = RX

k*TS = XY

This can be rewritten as:

k = RY/RS = RX/RT = XY/TS

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Answer:

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Step-by-step explanation:

Rotational symmetry is when a shape has the same orientation after being rotated.

For example, an equilateral triangle rotated 120° will line back up with itself.  A square rotated 90° will also return to its original orientation.  Same with a pentagon rotated 72°.

Basically, an n-gon rotated by a multiple of 360°/n will return to its original position.

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