2.NOS.D.11: Partition circles and rectangles into equal shares (halves, thirds, and fourths) recognizing that equal shares do not need to have the same shape. Determine how many equal shares are needed to make a whole (e.g., three thirds).

Partition circles and rectangles into equal shares (halves, thirds, and fourths) recognizing that equal shares do not need to have the same shape. Determine how many equal shares are needed to make a whole (e.g., three thirds).

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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