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swat32
3 years ago
12

Use compass and straightedge moves to construct the angle bisector for angle ABC. In other words, create a ray that divides angl

e ABC into 2 congruent angles.

Mathematics
2 answers:
denpristay [2]3 years ago
7 0

Lets look at the steps to construct

  • First put compass on point A .
  • Take more distance than half of AC.
  • Then tick a little semicircle.
  • Plot the compass on C.
  • Now join the intersection point with B.

We are done

Marina86 [1]3 years ago
4 0

Answer:

→ Place the divider (compass) point at point C.

→ Make a small curve above point B.

→ Repeat the above procedure while placing the divider or compass at point A.

→ Assign the point of intersection of the two curves as X.

→ Draw a bisector (line) joining point X and point B.

{ \boxed{ \tt{ \star \:  end \:  \star}}}

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,

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\begin{gathered} =5a(\frac{10a^2}{5a}-\frac{5ab}{5a})+4c(\frac{8ac}{4c}-\frac{4bc}{4c}) \\  \\ =5a(2a-b)+4c(2a-b) \end{gathered}

Since the terms inside the brackets are the same, combine:

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CHECK

To check if your result is correct in cases like these, expand as follows:

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