1.NOS.F.14: Partition circles and rectangles into equal shares (halves and fourths) recognizing that decomposing into more equal shares creates smaller shares. Determine how many equal shares are needed to make a whole (e.g., two halves).

Partition circles and rectangles into equal shares (halves and fourths) recognizing that decomposing into more equal shares creates smaller shares. Determine how many equal shares are needed to make a whole (e.g., two halves).

Example Problems

Point A is at

(6, 1)

and point C is at

(2, -7)

.
Find the coordinates of point B on

\overline{AC}

such that

AB = \frac{1}{3}BC

.

Point A is at

(-9, 3)

and point C is at

(1, -7)

.
Find the coordinates of point B on

\overline{AC}

such that

AB = \frac{1}{2}AC

.

Point A is at

(6, -6)

and point C is at

(-6, -2)

.
Find the coordinates of point B on

\overline{AC}

such that

AB = \frac{3}{4}AC

.

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